Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas - AMA | June 2023

Episode Date: June 5, 2023

Welcome to the June 2023 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Patr...eons, whittle them down to a more manageable number -- based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good -- and sometimes group them together if they are about a similar topic. Enjoy! Post with questions and full transcript: https://www.preposterousuniverse.com/podcast/2023/06/05/ama-june-2023/ Support Mindscape on Patreon.

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Starting point is 00:00:20 These statements have not been evaluated by the Food and Drug Administration. These products are not intended to diagnose, treat, cure, or prevent any disease. Hey, everyone, it's Kelpen. I'm inviting you to join the best sounding book club you've ever heard with my podcast, Earsay, the Audible and I Heart Audio Book Club. Every episode, I nerd out with amazing guests and dive into the best new audiobooks available on Audible. It's the book club for your ears. Listen to Earsay, the Audible and IHeart Audio Book Club on the IHeart Radio app or wherever you get your podcasts. Hello, everyone.
Starting point is 00:01:01 Welcome to the June 2023 Ask Me Anything edition of the Mindscape. podcast. I'm your host, Sean Carroll. The only thing really on my mind these days, you know, the semester is over here at Johns Hopkins. I'm not traveling for the next several weeks at least. So I'm finishing the book, Volume 2, the biggest ideas in the universe, which is going to be called Quanta and Fields. This one has been a lot of work. I mean, of course, it's taken longer than it should have because I got a new job and flew across the country and helped to fix up a house before moving into it and taught two courses and a whole bunch of other things. There's a lot going on. So we originally had hoped that volume two would be coming out a year after volume one,
Starting point is 00:01:43 which would put it this fall. I'm not done, and it takes almost a year to get a book out once you've handed it in. So no, it's not going to be coming out this fall. It'll come out sometime first half of next year, I presume, 2024. I'm hoping that since I am not going to move across the country again, and my job is already settled here, that the book after that, book three in the series, which will be complexity and emergence, that will come out about a year after volume two. So volume two that I'm finishing up right now, you know, I go back and forth because it's super ambitious. Volume one was pretty ambitious. You know, volume one taught you relativity, both special and general. I mean, it starts very slowly, going with Newtonian mechanics, what is space,
Starting point is 00:02:31 what is time? There are a lot of words, but eventually the equations start coming, and I teach you how to do calculus and things like that, and then non-rimanian geometry, I should say, non-uclidean geometry, culminating in general relativity. And that's a lot for a trade book type of audience. This book, I'm doing quantum mechanics, of course, but actually in book two, the quantum mechanics is going to go by pretty quickly. I'm not dwelling on the intricacies of quantum mechanics, certainly not the interpretations thereof or foundational questions like we did in something deeply hidden, because most of the book is going to be about quantum field theory and particle physics. So I'll be talking about Feynman diagrams and Lagrangians and effective field theory
Starting point is 00:03:15 and renormalization and gauge symmetry and the spin statistics theorem. And unlike book one, I can't do all of the equations. I mean, book one, we zip through some equations, but there was nothing missing. It was all there. And the amount of material being covered in book two is just far too jihumongous to do that. It would be three times the length and much more intricacy if I did it all in book two. So I need to judiciously choose which equations to go through and where to wave hands. And, you know, so far I've been erring on the side of showing some equations. Like I want to, you can see using the equations why the photon is massless. Why charge charge is conserved, things like that, right? I'm going to define what a non-Abelion symmetry group is.
Starting point is 00:04:04 You're going to know what SO3 and SU3 stand for, why they appear in different equations. And you're not going to go through everything, so I'm not talking about spinners and the direct way of constructing the electron field and direct matrices and stuff like that. So I can skip over some things, but there's a lot there, and it adds up to quite a bit of demand on the reader, but I think it's an absolutely unique payoff. I don't think that any other book does this, the effective field theory stuff, the gauge theory stuff, and so forth. So I really want to have a book where even if it is a challenge for most people to read, there's a reward. It's useful to go through this. I mean, those of you who have gone through the videos for the biggest ideas
Starting point is 00:04:53 in the universe series know what I'm talking about. You know, I did very similar things there, and we got pretty deep into the weeds, but I think that it's all worth it. Anyway, that's what's going through my brain right now these days. I'm in the home stretch in finishing that book, and I think, you never know. I've got to, you know, take a break from it after I'm done the first draft, or the, it's not the first draft by any means, but the draft that I will hand in, take a break from it, and then, you know, a little while later I will come back, read through the whole thing, start editing it, and we'll see what I think of how it's going. The only other thing I wanted to say, this being the Ask Me Anything edition, is I really should remind people some of the rules of the AMA.
Starting point is 00:05:33 You know, for one thing, of course we know that the questions are asked by Patreon supporters. If you're out there and you're listening and you enjoy this, you could be a Patreon supporter, even if you don't want to ask questions. That's fine. The number of people who ask questions is much smaller than the total number of Patreon supporters. there's just, you know, a feeling of good fellowship and happiness and warmth by being a Patreon supporter of Mindscape. So you can be such a supporter by going to www. patreon.com slash Sean M. Carroll, throw in a dollar or two or whatever for every episode. It's not really that painful. And for those of you who are asking the questions, you know, you know that I give instructions
Starting point is 00:06:14 at the beginning of every post where I ask for the questions. And I've noticed that the instructions are kind of being ignored a little bit by some people. And perhaps the two most important instructions are keep the questions short, and you only get one question. And having like three or four or five question marks in a single paragraph doesn't really count as one question. That's actually multiple questions. So, you know, I usually just try to edit them down. But if the questions are too long, that I'm not even going to contemplate including them because we can't include every question. And if one question is very, very long,
Starting point is 00:06:49 that's an easy way for me to decide to ignore it. So that's advice if you're out there contributing questions to the AMA and wondering why yours are not picked. But having said that, most people are very good about obeying the rules, and I do appreciate it. We have a lot of good questions this month, so let's go. First question comes from Siddhoff, who says,
Starting point is 00:07:26 most universities in the U.S., Canada and some other countries have instituted a tenure system. While originally designed to provide academic freedom to protect academics from social or political backlash against their research or ideas, nowadays the original rationale for tenure seems questionable in light of other civil and criminal protections the law provides. Critics argue that tenure may induce post-tenure laziness. Top universities in other countries survive nicely without any tenure system at all. What is your view of the worth of the tenure system would you support getting rid of? of it. No, I would absolutely not support getting rid of it for many reasons. And I say this,
Starting point is 00:08:02 by the way, as someone who does not have tenure and never will have tenure, most likely. The job I have right now is permanent and they're not going to fire me, so maybe effectively it's like having tenure. But by the letter of the law, because I have this homewood professor job at Johns Hopkins that floats above any individual departments without being a tenured member of any individual department and therefore being beholden to serve on all. all the committees that the departments have. I have a better than tenure job in many ways, but anyway, I don't technically have it. And yet, I'm super duper in favor of it. For one thing, it does still provide protections against attacks on freedom of speech and things like that,
Starting point is 00:08:44 because it's not the same thing, academic freedom and the government protected speech that you have. Those are two different things, and sometimes one can protect certain kinds of things and not the others. You know, people can say really terrible things in their social media and not be fired from their job as a professor. And I think that's the right thing to do if that speech that is very terrible, even if they're a terrible, terrible, terrible, terrible person, if it is not affecting their jobs. I don't think that tenure is or should be an absolute ban against losing your job. If you do things like sexually harass your undergraduates or commit criminal acts or start teaching astrology in your astronomy classes, things like that, there's all sorts of reasons why you still can be fired from your job, even though you have tenure. But you should not be able to be fired from your job just because of opinions that you hold and how you express those opinions outside of the university context. That is a stronger and different kind of protection than you get just from the First Amendment.
Starting point is 00:09:49 let's say, here in the United States. And of course, that it protects your right to do research in various ways as well. You're not pushed around by the university. Ultimately, you get to decide what kind of research it is you're doing. But the other thing that I think is very, very underappreciated by non-academics is that tenure makes professors much cheaper. You know, there's a lot of people who want to become professors. The number of people who get PhDs and hope to become professors is much larger than the number of actual professorship jobs. What is it that makes being a professor such a good job? Well, there's various things. Academia is fun, you know, the intellectual challenge of it all, and so forth. But given all the training that you have as a typical academic, given the skills that
Starting point is 00:10:37 you have, it is typically very easy to earn, not necessarily 100% possible, but typically easy to earn way more money in the private sector than by being a professor. And one of the reasons why people want to be professors anyway is because it's a different kind of life than you have in the private sector. Good professors work extremely hard. You know, they work weekends and summers and nights and the whole bit, but they do it not because they are being forced to by their bosses. They are sort of self-motivated people. They want to get this research done, you know, teach class as well, et cetera. Not everybody does it. Not everyone is that motivated. There's plenty of lazy professors out there who don't work that hard, but many, many,
Starting point is 00:11:25 many people do. And there's a feeling that there's a bargain that is implicitly struck where I will take less money for this job in return for the job security provided by tenure. Almost all academics in countries that have tenure are in favor of expanding it, not getting rid of it. The academics in other countries that you mention where tenure is not there are often very, very upset that there is not tenure. That's one reason why the United States has historically been able to attract people from other countries and vice versa doesn't happen very often when it comes to professorships. when I was leaving Caltech and I was talking to various places at other universities that might have in principle been interested in hiring me, that was an absolute consideration. You know, the lack of tenure, even though I didn't think I was going to get fired or anything like that, I think that it shows a misunderstanding of the academic system. Even though the academic system is very far from perfect, we should aspire to be a system where we let people think and do research.
Starting point is 00:12:33 search without worrying about their job security. It saves universities money. It's good for the well-being and mental health of the professors. And I think that that's the best system that we have right now. Now, again, there are people who just get tenure and then stop doing their work, become lazy, et cetera. There should be other incentives for people like that. And there are. Guess what? Your salary doesn't go up as fast if you're not doing your job. You don't get raises and things like that. There are people who are rather up there in age who never made full professor,
Starting point is 00:13:06 still associate professors and things like that, for one reason or another. You don't get perks, whatever it is, funding for grad students or for travel or whatever. There's various ways that the university has of indicating its displeasure with your work as a professor, and that's why, you know,
Starting point is 00:13:24 the research productivity of the faculty in the United States, universities is unprecedentedly high. It's actually a very good system. Not perfect, but I still think it's the best one I know of. Someone whose handle is R than VLN, that stands for something probably, says, if a pair of spin-entangled particles traverse separated paths through curved space, what happens to the directions of their spins? So this is referring, of course, to a version of the famous EPR thought experiment where you have two spins that are entangled with each other, and let's say they're entangled in the sense that they are opposite spinning. So you don't know
Starting point is 00:14:07 which measurement outcome you're going to get for either spin, but you know that when you do both of them, they will both be opposite, and that's supposed to be true even if they're very, very far away. So the question, quite correctly, points to this idea of the spins being opposite. What does that mean that the spins are opposites if the spins are located at different locations in the space when the space in between them is curved? It is a feature of relativity of curved space time that there's no unique way of comparing vectors like spins at different locations in curved space uniquely. You can, what you can do, sorry, let me just say that again so it sinks in before you give the answer. if you, what we're very used to taking vectors like velocities and momentum, things like that, and adding them and subtracting them, that's what vectors are supposed to be able to be done.
Starting point is 00:15:00 But in general relativity, in a curved spacetime background, you really can't do that. There's no unique way to do that. It's true that you have vectors, but vectors are always defined as living at a point. There's even a whole bunch of technical jargon that goes with this. You have the tangent space of the manifold at each point. and the vector lives in a certain tangent space. It lives in the tangent space located at that point. And there's no unique way of comparing vectors at one point in space time
Starting point is 00:15:28 to vectors at another point in space time. There are sometimes situations where you can sort of approximately talk about such comparisons, like when we talk about the apparent velocity of a distant galaxy, right? That is a very apparent velocity where we know we're really cheating when we talk about that, but it kind of makes sense, unless you really care about the something, subtleties, you don't need to be more specific than that. But in something like the EPR experiment, where you say, okay, I'm going to compare the spin outcomes of entangled particles, how are we to do that? And the answer is that even though there's no unique way to compare vectors at different points
Starting point is 00:16:08 in space time, if you give me a certain path between two points in space time, then I can do my best to keep the spins constant. That is called parallel transport, keep the vector constant as I move along the path. It's called parallel transport. You can read about it in volume one of the biggest ideas in the universe. And so that is what will happen.
Starting point is 00:16:33 Some version of that, depending on what kind of spin you're moving around, will happen as you move a spin without literally pushing its direction of motion. If you just sort of do your best to keep it constant as you go from one point to another in space, time, when the two entangled particles are created, they're at the same point, right? That is a feature of the laws of physics.
Starting point is 00:16:53 They are local. When you have entangled these particles in the right way, something started at one point in space time and then spread to different points. And you just have to tell me exactly what path that traveling happened on, and then I can figure out what the relative spins would be and what the prediction for measuring them should be. Stevie CPW says, when he was in his early teens, my brother told, my devoutly Christian mother that he was an atheist, and it made her very sad. It took me longer
Starting point is 00:17:22 to transition to atheism and then to declare it, but it was still hard for my mother to take when I did. When did you realize you were an atheist? How long did it take for you to declare it to your parents, and what was their reaction? Also, what advice do you have for people who want to come out of the atheist closet but are concerned about disappointing or hurting their religious loved ones? Well, it's a complicated question because it's going to depend very much on your individual situation. I don't think there's any one size fits all answer to questions like this. It's part of an issue involving the relationship that you already have along many dimensions between yourself and your parents. You know, my parents were religious, but not that religious. That was not central to their
Starting point is 00:18:02 life in any way. So there wasn't any grand reveal of my atheism or anything like that. It just sort of crept up and became clear, and it never became a big deal. But that doesn't mean that it's not a big deal to other people, as with many other ways in which you could come out, right? Come out about many things, most famously, I suppose, about being gay or being trans or being something like that. It's actually quite analogous. You know, hopefully in all of these cases, your family will be mature enough and loving enough to support whatever choices you have. And it is on your side, the responsibility is to be as understanding and loving your, about their feelings as you can. You know, you should stick by your guns when it comes to believing,
Starting point is 00:18:49 whatever it is you believe about the universe. But the fact that they can be upset by it is real, and you can hope that you don't upset them, right? Or you could at least say, I know I'm going to be upsetting, but I want to do it in the gentlest way possible. And, you know, hopefully, the fact that you are members of the same family and care about each other is more important than your attitudes towards atheism and theism and things like that. Look, sometimes it's not. Sometimes people have to cut off contact with their family because they disagree about something pretty profound.
Starting point is 00:19:26 I think that's also okay. I'm not someone who thinks that just because you have family members means you have to put up with anything that they do, no matter how terrible it is. And they should accept you for who you are. you have to maybe, let's put it this way, you have to respect them enough to imagine that they will eventually accept you for who you are and to try to give them whatever space and time they need to do that. Okay, I'm going to group a bunch of questions together. There were a bunch of questions that
Starting point is 00:19:57 were engendered by the recent podcast we had with Thomas Hurtog, and I'm going to try to read several of them, but there were even others that I'm not going to read because it's all along the same basic ideas. Jeffrey Seagal says, the conversation with Thomas Hurtog inspired me to read his book, which was very interesting. However, although he emphasized that this top-down principle, which was used to deduce the previous history of the universe, differed from the anthropic principle, I did not see the distinction. Can you perhaps clarify what the difference is? Bruno Tischer says, I'm not sure I was able to understand Thomas Hurtog's quantum cosmology. What struck me with me was something like the distant past and future space are uncertain, but
Starting point is 00:20:37 what causes the decoherence of the near time and space? Is it us? Nick Gall says, what's the difference between your multiverse cosmology and Hawking and Hurtog's top-down Worms-Eye holographic cosmology? I had difficulty understanding the details on how the two differ from your podcast with Hurtog. And then Rad Antinov says,
Starting point is 00:20:57 can you clarify what Thomas Hurtog was driving at in the quantum cosmology episode? So, I mean, clearly there was something that was unclear about that episode. Sorry about that, but we'll try our best. Anyway, Rad continues, was he saying that at the largest scales, the correct theory is one that calculates probability amplitudes, just like quantum mechanics does at the microscopic scale? Thus, what we observe with our telescope is one of many possible outcomes, albeit each having a different likelihood. Can the theory like this be tested? Does it have anything to say about dark energy or predict an effect akin to dark matter? So I will confess that I've glanced through the Hurtog and Hawking technical papers here, but I've not read them in great detail. I do think I have the basic idea of what's going on, or at least I understand what I take to be the most important underlying issue. So let me try to explain that. Maybe it will shed some light on what is going on. So think back.
Starting point is 00:21:53 We were just talking about Alice and Bob, and I don't think I said Alice and Bob. We were talking about the EPR experiment, right, with two different spins, very far away. There's an implicit thing going on in how we usually talk about the EPR experiment, which is we have two particles. They're entangled. We move them far away. We measure one. And then in the many world's way of talking, we say decoherence happens and the wave function branches. And there's a branching into one branch where Alice observes spin up, Bob observes spin down, and another where Alice observes spin down, Bob observes spin up. But as we said, with general relativity, there is a little bit of an ambiguity as to how you compare what you mean by the direction of spins at different points in space.
Starting point is 00:22:39 You know, the amount of curved space time between us and Alpha Centauri is actually not that large. It's still pretty close to flat space time, so in practice, this is not really a worry. But in cosmology, it becomes more of a worry. So one looming issue in many worlds quantum mechanics that people disagree about is how the branching of the wave function extends to throughout space and time. Let's put it that way. David Wallace, in his former mindscape guest, in his book, The Emergent Multiverse, talks about a picture where what happens is you make a quantum measurement at some point in space time, and then in your future light cone, there are two branches. But outside your future light cone, there are not two branches. There's still just one
Starting point is 00:23:31 branch of the wave function of the universe just as there was before you did the measurement at all. So somehow there's this interplay between spacetime location and branching. That is actually not the way that I like to think about it. I like to just let the universe branch throughout spacetime all at once. And this looks like it's violating special relativity, but it's not really because, as I often say, space time lives within the branches. it's not that the branches live within space time. So what is this all have to do with Hurtag and Hawking?
Starting point is 00:24:06 They are dealing with a situation where they have a wave function of the universe. They are truly quantum from the start, okay? It's not supposed to be a semi-classical space time with quantum fields in it, like many physicists often think about. It's truly a quantum mechanical story of space time itself. So here I am in my location in space time. I make some measurements. I look around.
Starting point is 00:24:27 I see that things are located in certain places. So what I've done is I have decohered and branched the wave function, and now I am on a branch with a certain semi-classical arrangement of stuff around me that makes sense, okay? The question is, how do I extend that branch out to the edge of the universe, out to the edge of the observable universe and beyond it, okay? There's no edge to the universe, but there is an edge to the observable universe, and how do I extend my semi-classical branch? In fact, it's perfectly okay to extend that branch out to the edge of the observable universe,
Starting point is 00:25:04 because after all, it is observable. You are looking at the positions of galaxies and the temperature of the cosmic microwave background. All of this branches the wave function, causes decoherence, etc. But what about extending it past the horizon of the observable universe? That's a much dicier thing. It's much less clear how we should extend our branch. into regions of the universe that we're not observing and therefore not decohering and collapsing and branching, et cetera.
Starting point is 00:25:34 So what I think is going on in... I've translated into my language, so maybe Thomas wouldn't actually even agree with me, but the way that I think about it is they're emphasizing the fact that outside your observable part of the universe, the universe is still inelectably quantum in nature. There's no such thing as the classical state of the universe, the universe outside the part of it that you can observe. You should just talk about the whole
Starting point is 00:26:03 wave function all at once. And of course, even at one location, or what we think of as one location, there are many branches going on with many different kinds of observers. So what they're really doing is trying to zoom in on what is the regime of the wave function, where it consistently makes sense to talk about a semi-classical universe that has observers in it and things like that. And there may be many, many such regions. Many, many is physics talk for a huge number, maybe an infinite number, of regions, with different kinds of observers seeing different things. So it's a different picture than the traditional cosmological multiverse.
Starting point is 00:26:45 The traditional cosmological multiverse, as you know, is different from the Everettian multiverse. The Everettian multiverse says when I observe a spin right here in the room, there's now, well, I shouldn't say right here in the room, but right here I have caused to come into existence two different branches of the wave function, whereas the traditional cosmological multiverse has a single semi-classical space time spread throughout a distance much, much larger than what we can observe. And I think they're calling that latter picture into question that you shouldn't talk about the actual semi-classical space time that we live in outside our observable universe. you should talk about the quantumness of it all.
Starting point is 00:27:28 But nevertheless, I think it would be fair to argue that still, for all intents and purposes, you have something that is very, very much like a multiverse. Maybe you're not locating different universes and different legitimate physical locations because you're not in a classical space time when you go outside what we can observe, but there are still different observers. Maybe some of them see different laws of physics. certainly some of them see different physical conditions about the energy density, the amount of dark matter, things like that. Okay. So that's my general picture of what's going on. And I'm not at
Starting point is 00:28:07 all sure that it's right or that it makes sense or anything like that. It might be. I'm very much in favor of taking seriously the quantum nature of the whole universe. You know, similar words were said before by Rafael Buso and Lenny Susskind and also, Yasunori Nomura in a bunch of papers from a few years ago asking whether or not in a world with holography and complementarity, many worlds in the cosmological multiverse aren't secretly the same thing. So I think that these are all really good issues that should be thought of very, very carefully. I think that Hawking and Hurtog have an angle on them. I don't know whether it's the right angle, just because I haven't thought of it, thought through it too quickly. Final note on that, to go to Red Antonov's
Starting point is 00:28:54 question. Can a theory like this have anything to say about dark energy or predict an effect akin to dark matter? You know, for dark matter, the answer is clearly no. And I would dissuade you from trying to think of weird physical effects that have an effect akin to dark matter. It is overwhelmingly likely that dark matter is just matter of some sort. It looks like a particle, it acts like a particle, it walks like a particle, it quacks like a particle. By which we mean, it has an energy density that evolves with time, just like particles do. It changes its spatial location and density, just like cold particles would, and so on and so on. We don't know what particle it is, but I wouldn't look to weird physical effects to be dark matter. I would look to
Starting point is 00:29:39 do particles to be dark matter. As opposed to, as concerns saying something about dark energy, you know, famously, one of the best successes of something like the anthropic principle was accounting for the fact that the dark energy density, the cosmological constant that we observe, is much smaller than what you might naively predict. I presume that Hawking and Hurtog would claim that kind of success for their own model, but I haven't actually seen them explicitly do it. When people turn to telehealth or weight loss, they're looking for real support. That's why more people are choosing orderly meds.com.
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Starting point is 00:30:58 massive sci-fi adventure about survival and science, and what happens when you wake up alone very far from Earth? I really had to make a decision because I caught myself getting that frog in my throat and starting to get teary as I'm narrating some of these sections, and it's like, okay, yo, yeah, yo, is this indulgent? And I really thought about it. I was like, no, at this point, it would kind of be betraying the trust the author and the listener have in telling this.
Starting point is 00:31:24 or if I don't go through it. But there's places in this book that deeply emotionally affected me, and I left it on the mic. That's great. Because it served the story. People will say like, oh, my God, I cried at the end. It's like, yeah, dude, me too. Listen to Earsay, the Audible and IHeart Audio Book Club on the IHeart Radio app or wherever you get your podcasts. Okay.
Starting point is 00:31:48 Roll over Jess says, I think that you describe yourself as a humian about laws of nature. Contemporary Humianism was set out by David Lewis as regarding the world as a vast mosaic of local matters of particular fact, just one little thing than another. So, by the way, this is Sean talking now, not Rollo. Yeah, humanism in this sense about laws of physics is laws of physics are just convenient descriptions, summaries of the set of the infinite number of events that actually happen in the world. as opposed to the idea that laws of physics have a separate existence and have some umph. They help bring about the actual physical configuration of reality. Okay, the question continues. Surely modern physics views the world as various types of fields described by a Lagrangian
Starting point is 00:32:39 which vary continuously. The value of the field at a given point is completely not independent of the value at neighboring points. Isn't this a modal structure constraining matters of particular fact, i.e. exactly what the Humian denies. Unless you say the fields might have taken any value but just happen to take values described by continuously varying functions, which seems insanely improbable. So there's two things going on here. One is a physics issue and one is a philosophy issue. The physics issue is, it is not true to say the modern physics views the world as various types of fields, which vary continuously. That would be true if the world were described by a classical field theory,
Starting point is 00:33:16 but it is not. It is described, as far as we know, by quantified. quantum field theories. Maybe not even that when it comes to gravity, but certainly the fields that we're looking at are quantum. And these ideas of continuity only makes sense if you think that the field has definite values at different points in space. But quantum fields don't. They have wave functions, okay? So you can't just think of it as smooth fields rather than ones that are, that have discontinuities all over the place. In fact, this is not exactly the same point, but there's, there's an important point to keep in mind. If you know about the Feynman's sum over histories,
Starting point is 00:33:56 the path integral take on quantum mechanics, where you say that in quantum mechanics or in quantum field theory, you derive the amplitude to go from some initial condition to some final condition by summing over E to the I.S, where S is the action, summing over every single possible path that takes you from the initial state to the final state. And you can prove mathematically that the set of smooth, paths that take you from the initial state to the final state are a set of measure zero. They contribute nothing to the path integral. All of the work in the path integral is being done by
Starting point is 00:34:31 pads that are discontinuous everywhere. So this is not a statement about field theory, but it is just a reminder that things that you would have taken for granted being smooth in classical mechanics are not always smooth in quantum mechanics. So the more philosophical point is I think you're making sort of a, I think it's a mistake, but anyway, let me say it as a presumption that many non-humians often do, which is they attribute some element of surprisingness or improbability to the fact that the world obeys the laws of physics. So I could say everything that you said in principle in the context of classical mechanics of point particles moving on trajectories, right? If I thought that Newton had been correct, and I thought that the Earth and
Starting point is 00:35:19 the Sun, you know, had equations of motion that were perfectly classical and they had trajectories. In the space of all trajectories that the Earth could take around the Sun, the set of trajectories that are smooth and continuous is a set of measure zero. But that's what the actual one that it seems to take, according to Newtonian laws of physics. So one is tempted to say that would seem insanely improbable. But that's only because you are somehow attributing some probability distribution to the measure on the space of possible paths, that you made some choice about what to be surprised about. But there's no principle that anyone has ever advocated in favor of that says that every imaginable path is a priori equally likely, and we should be surprised when the universe obeys certain patterns and not others.
Starting point is 00:36:15 I mean, you can worry about it, you can ask the question, but you have to realize that it is, a question. It's not some pre-existing result that we should rely on that says that if it weren't for laws of physics, all sorts of crazy behaviors would in some sense be equally probable. What does that mean? Probable. Where did this probability function come from? It is a fact that the universe obeys patterns, which implies that its evolution in the real world describes a very, very, very, very tiny and special subset of all conceivable evolutions that it could. Now, it's true that the anti-Humian has an explanation for that, namely that there are laws of physics that force it to do that. But the Humean says, you haven't really explained anything by saying that. You just
Starting point is 00:37:02 restated it. You haven't, you know, how do these laws of physics govern? How do they actually exert an influence? Is it like the particles in the fields are trying to do something and the laws of physics step in and prevent them from doing it, this just seems like a bad anthropomorphic analogy, not an actual amount of insight. So you can choose to believe, whichever one you want, but I think that both of those positions make sense on their own terms. Rue Phillips says, what do you see as the connection between large language models and emergence? What interests you about it, if anything? For example, the opening statement of a recent research paper states, we present evidence that language models can learn meaning, despite being trained only to perform
Starting point is 00:37:44 next token prediction on text, specifically a corpus of programs. Well, I think that your question ends up in a place different than it began. I mean, there is this question, what is the connection between large language models and emergence? But then there's this specific example from the paper, you quote, and I would put those two things on very different footings. I have seen talks, and I've looked at papers claiming that large language models exhibit some understanding, that they have not just an ability to predict the next word or sentence or whatever, but they actually attach some meaningfulness to it. But when you look closely at these talks and these papers, they fall apart. They're just not that convincing. They're defining what they mean in such a
Starting point is 00:38:34 narrow way as that it's really not what you and I mean when we think about meaning and extrapolation, etc. So I think that I'm not moved in what I've seen so far by the idea that these large language models are actually not just learning what to say next, but learning what things mean, or more specifically that they are implicitly forming a picture of the world in their minds. I don't want to say brains, but, you know, in their minds. The way that we think of human reasoning is that we have a picture of the world, right? We have a model of the world. And so when you say construct, a typical thing that you ask large language models to do is,
Starting point is 00:39:17 here are five objects, you know, a table, a box, a coffee cup, a marshmallow, and a pencil. Stack them on top of each other in a way that is the most stable. and they're pretty good at that actually, right? And you say, oh, my goodness, somehow they must have a model of what is stable and what is not stable. No, they don't. What they know is that lots of people have talked about putting boxes on tables and very few people have talked about putting tables on boxes. That's what they know.
Starting point is 00:39:45 So I think that there is the evidence that any of this is actually happening in large language models, any of this construction of a model of the world is very, very flimsy. And in almost all of these cases, you can then try a little bit harder to make the LLM say something nonsensical. It's not that hard to make them say something nonsensical. Again, that doesn't mean that I'm not enormously impressed with what they do, but let's be accurate about what they do. So having said all that, your very first question, what is the connection between large language models and emergence? I'm not quite sure you mean. I'm not sure if you're defining emergence as something like what we just talked.
Starting point is 00:40:27 about, do you mean the emergence of meaning somehow? That's not what I usually mean when I talk about emergence. So I'm not sure what the connection might be. I don't generally try to attribute such a connection, but maybe there is one that I'm just not aware of. Nikola Ivanov says, I have been struggling with the following question. Unitarity is a foundational principle of quantum theories. It implies the preservation of information and determinism. The last two principles imply time symmetry, and yet time symmetry is broken in the weak sector of the standard model and has to be saved by CPT symmetry. I know that CPT symmetry arises naturally from the direct equation, and I'm not implying it as ad hoc, I just can't reconcile the principles above with results from
Starting point is 00:41:11 experiments. Is my reasoning flawed? Am I missing something? Or does this indicate that quantum theory is just not complete? It does not indicate the quantum theory is not complete. These are, you know, perfectly good questions to ask, but we know the answers to these questions. 100% perfectly well. The basic answer is that once you have reversibility, which you get from unitarity, that is to say, if you know the state of the system at one point in time, you can uniquely predict what will be at another point in time. So that applies to quantum mechanics as long as you don't measure, you don't collapse the wave function, et cetera. Just the Schrodinger equation has that feature. Then you can show that there must be some definition of time reversal in
Starting point is 00:41:54 variance, okay, in the following sense that you have your state, you can evolve it forward in time, do some transformation to it, to the future, call that the time reversal operator, then evolve it backward in time to where you started, apply that time reversal operator again, and you will come back to where you started. So there's four things you did. You evolve forward, time reversal, evolve back, time reversal again, come back to where you started. So, there's four things you did. You evolve forward, time reversal, come back to where you started. Such a time reversal operator will always exist if the dynamics are reversible. If they're not reversible. So, you know, think about billiard balls on a table, but I put glue on all the bumpers. So all the billiard balls bang around, but when they hit a
Starting point is 00:42:39 bumper, they just stick there. That is not reversible dynamics. And from knowing what the state is in the future, I cannot predict what the state was in the past. Likewise, if weight functions truly collapse in quantum mechanics. So, but what this, this, theorem set does not say is that you know what time reversal is. Time reversal is often involves some massaging of the states. And that's you just in classical mechanics, you know. Think about positions and momentum. In the Hamiltonian version of classical mechanics, your phase space is positions and momentum, and there is no a priori relationship between velocity and momentum. That turns out to be an equation of motion, but the fundamental variables are independent
Starting point is 00:43:26 of each other, and they are position and momentum. And guess what? To get time reversal, you keep the positions fixed, but you reverse all the momenta, right? So that was a choice that you made. Reversing all the momenta was a non-trivial thing that you did. Likewise in quantum mechanics, you can do the same thing, but you need to take the complex conjugate of the wave function as part of your time reversal operation. So when you say in the standard model, time symmetry has to be saved by CPT, I don't think that's the right way to think about it.
Starting point is 00:44:00 I would say time symmetry is CPT. CPT, which is charge, parity, and naive time reversal invariance, is just what you should mean by the time reversal invariance of the standard model. It involves C and P, as well as the naive complex conjugation operation, There's nothing wrong or surprising or weird about that. It's 100% compatible with
Starting point is 00:44:24 Unitarity, the Schrodinger equation, etc. David Maxwell says, for the first 40 years of my life, I adored science and dismissed philosophy as the musings of ancients devoid of relevance. You bridged that gap for me by revealing over years of mindscape that a lot of what I love is actually a philosophy. I just didn't know how to call it that. I've come to think of them as two sides of the same coin, each the application of logic to gain insight, but one of the first applies to the testable, the others to the untestable. Science has become cool and interest in it widespread. Basic scientific literacy is widely thought of, as useful to life, yet philosophy is thought of as a niche area of little relevance outside its own academic bubble. As someone who's
Starting point is 00:45:06 indirectly bridged that gap for me, how would you encourage the reframing and marketing of philosophy to new generations so that it can one day be as cool and ubiquitous as science has become? Well, that's a very good question. You know, I also, I'm not sure if there are two sides of the same coin, but I see them as continuous with each other, science and philosophy. They're both ways of trying to understand our world that use slightly different tool kits but have the same ultimate goal. In each subset, there are different problems that are considered to be central and most important, but that's okay. There's a lot of overlap where they have common problems, like what happens when the wave function collapses in quantum mechanics. I'm not, I don't know if I have an accurate data-based statement to make about popular philosophy.
Starting point is 00:45:55 I'm not as familiar with that as popular science. Clearly, you know, we teach science in high school and junior high school in a way that we don't teach philosophy here in the United States. I never had a philosophy class until I was in university. I know that in other countries they do teach philosophy much earlier, and that's an interesting fact. why here in the United States were relatively slow to start people learning about philosophy. But then outside of the context of, and by the way, I also don't know what fraction of college undergraduates take a philosophy course. I would hope it's large, but I somehow suspect
Starting point is 00:46:29 that maybe it's not. Anyway, in addition to within the school systems, there's also the question of just in general life, how ubiquitous is philosophy, how easy is it to find a good popular philosophy book on the bookshelves. There's certainly lots of books that kind of quasi-philosophical, meaning of life, self-help books, those kinds of things. And there are books that are actually quite respectable by people like former mindscape guests like David Chalmers or Daniel Dennett and so forth that are very readable to the outside. But it's nothing like the popular science industry, which is much more successful and much more ubiquitous. So I think I mean, let's turn it around. This is a market opportunity. I think that there's a lot that can be
Starting point is 00:47:17 done to share the delights of good philosophy with a much wider audience. And part of that is that just like scientists, philosophers will have to learn the difference between what they do in their everyday research endeavors versus what is interesting to the outside world, right? Scientists have to recognize that that's true. You can't use the same jargon or even necessarily care about the same puzzles when you talk to a general audience. But some of the stuff that you do is interesting, and likewise for philosophy. Some of the stuff that philosophers do is absolutely interesting to a wider audience. And there have been examples of, you know, very successful popular philosophy. that the novel Sophie's World, for example, was very popular not too long ago.
Starting point is 00:48:07 And Harry Frankfurter wrote this book, Bullshit, that sold a tremendous number of copies. So it absolutely can be done. And I'm kind of just hopeful that philosophers try harder to do it. You know, they're a little less motivated because they don't get that much funding from the government, right? There's no large grant proposals. There's no large experiments that need to be funded that philosophers can motivate. their colleagues to reach out to the wider public because otherwise their funding will have evaporated because their funding is already evaporated. There's very little funding in the field.
Starting point is 00:48:41 But nevertheless, my take has always been that if you spend your life thinking about deep mysteries of the universe and then you answer some deep mystery of the universe or at least, you know, get some, make some progress, gain some traction on learning about the deep mysteries of the universe, and then you don't tell anybody, that's just bizarre, or you only tell your 12 friends who read your paper, right? I mean, I think that as, not as an individual, because individuals have different skill sets, different interests and whatever, but as a field, it's perfectly clear to me that philosophy should care much more than it does about spreading the message of what is going on and the cool stuff that they think about to a much broader audience. I have no
Starting point is 00:49:29 institutional influence over these things, but I can try to set an example. I can try to write books and do podcasts and give talks in which philosophy and science are intertwined with each other until eventually people catch on, like perhaps David you have, that this is all smart people trying to understand the universe a little bit better, and it's all worth following and thinking about. Mickle Pickle says, After listening to the latest episode regarding the offshore financial system as a complex system, I'm curious about the stability of complexity in general. Some complex systems, such as life or the brain or the entire world of offshore banking,
Starting point is 00:50:09 seem to have error correction and stability enhancing measures incorporated, whereas some systems, such as the venture finance banking system that is teetering in Silicon Valley at the moment, seem to lack some important inbuilt error correction mechanisms. In your opinion, does complexity fundamentally include instability and the possibility of system collapse, or is a system's overall stability, even without additional error correction mechanisms, more case and fact specific? I love this question, in part because I don't know the full answer. I don't have a full theory of this, but my vague impression is that you're going to have both.
Starting point is 00:50:48 In other words, a complex system that has any non-trivial lifetime at all that exists over, well, thinking as a physicist, you would say there's some dynamical time scale, right? For any given system, there's some timescale it takes for the system to change in an order one way. And if a complex system lasts for many dynamical timescales, it's going to have to have some stability mechanisms. some negative feedback mechanisms, where if it begins to get out of alignment, something nudges it back into alignment. But at the same time, most complex systems, I think, are going to have failure modes, are either going to have fluctuations that can grow, or they will have lifespans built into them.
Starting point is 00:51:39 After all, living organisms are not designed to last forever, for the most part. Some of them are, but the ones that tend to be the simple ones, like a bacteria, will not, a bacterium, will not die of old age, okay, but it's a single-cell organism. It's not that complex. The greater complex systems maybe require some input from the outside world in order to do that error correction. They require some food, right, some free energy that they can use to repair themselves and keep going, and maybe this is a process that isn't going to last forever. And of course, there are very, very ephemeral things that are temporarily complex and then go away. And maybe something like a startup company or something like that or the junk bond system or something like that qualify under those criteria.
Starting point is 00:52:33 So I think there's probably a rich landscape out there of different things going on. It's probably not a simple answer. you're probably going to need some error correction, stability, negative feedback loops there somewhere, but they're never going to be guaranteed to last forever. It would be a fun thing to study more in detail. Ahmad Chaker says, how exactly do you get from entropy increases in a closed system, and entropy was lower in the past, to this explains the arrow of time? Surely these events are correlated, but how do we know they're actually related? Yeah, I mean, we don't. We don't. We don't know a priori they're related. We do work to show that they are related. So there's a way of
Starting point is 00:53:16 talking about the arrow of time that is sometimes popular in which people talk about many different arrows of time, right? There's the thermodynamic arrow of time, there's the aging arrow of time, there's the arrow of time, there's the electromagnetic arrow of time, whatever you want, different kinds of arrows. And then you would like to ask why they are related to each other and if they are related to each other. My own personal way of talking is there's one fundamental underlying arrow of time, which is the thermodynamic arrow, the fact that entropy is increasing, and then other arrows that we know about are parasitic on that. They arise because of that one. So the fact that we remember the past and not the future, the fact that we age, the fact that causes come before
Starting point is 00:53:59 effects, these are all because entropy is increasing. I'm not actually going to answer the question because connecting those things, explaining why, for example, increasing entropy is behind the fact that we remember the past but not the future is work. You know, that's stuff that I talk about at great length in my book from eternity to here. And it's ongoing work. We don't know all the answers to all those questions. So it is absolutely something you need to do the effort, put in the effort to establish that it's true. It's not automatic, but I think that the effort has been put in, at least in, at least in, enough to say that it's going to be true, even if not all the eyes are yet dotted and the T's
Starting point is 00:54:39 are yet crossed. Eric Daviji says, when matter collapses into a black hole, does it have to overcome the Pauley exclusion principle? To expand on the question, what happens to the various parts of an atom when they get smushed down into the singularity? At what point is a quark decorquified? Well, I think that there's a lot going on here, and part of the answer is going to be there aren't any singularities in nature. You know, a singularity is a prediction of classical general
Starting point is 00:55:08 relativity, but classical general relativity is not right because it's not quantum. And in particular, you're asking a question here about the quantum behavior of matter. So even at the level of the behavior of quantum fields in a classical space time, you can't quite invoke the Pali exclusion principle because you really should be talking about fields, not particles, right? Now, There are fermionic fields. There are the fields that make up electrons and neutrinos and things like that that obey a field version of the Palli Exclusion Principle. But what you would expect is that even though you squeeze particles into the same position in space, that they're not in the same quantum state because they're vibrating or they have different momentum in different ways. So when the Palli Exclusion Principle really says what it says is not that you can't put two particles at the same point in space,
Starting point is 00:56:03 but you can't put them in the same quantum state. So in principle, in a quantum field, you could always just excite it and give a different momentum and fit in a lot of particles into a tiny region of space. But again, the real answer is, questions like this involve quantum gravity if you want to discuss what happens in the real world. And we don't understand quantum gravity yet enough
Starting point is 00:56:22 to give you the correct description of what happens at that point near the point in a black hole where you would have had a singularity if classical general relativity had been correct. Brendan says, are you a fan of the John Wick movies or are those type of movies not interesting to you? I am a fan. I have no objection to those type of movies. I'm very happy to have fun action movies that are not trying to be too, I don't know, intellectual or whatever. But, you know, the idea of an intellectual movie is a slippery one. I think the original John Wick movie was brilliant. I thought that it was a fresh take on a very old, genre, which is very, very hard to do. It was good storytelling. It started small, and then the world
Starting point is 00:57:09 grew a little bit. The action sequences were novel and different and interesting. A lot of these days in superhero movies or whatever, or spy movies or thrillers or whatever, I actually tune out during the action sequences because I know the hero's not going to die. I know that the basic moves that are going to happen. So I wait for the plot to restart again. But in the original John Wick movie, it was really very, very well done and interesting stunt choreography in those action scenes. I think the subsequent movies in the series have not been as good. They sort of lost the focus of the storytelling aspect. It's become a little bit bloated. In the universe expands, but it's not really coherent. In the first John Wick movie,
Starting point is 00:57:58 there were hints at this wider mythology, and they were all intrigued. and you wanted to know more, why were these hotels there, what kind of assassins are there? But you didn't need to know all of them for the purpose of the story. So the fact that you didn't know didn't bother you. In the later, in the sequels, I suppose, to me, as they showed you more and more of that background, it still doesn't make sense, but it should make more sense because you're being shown more of it, and it doesn't. And the most recent one, which people really raved about, I just didn't like it all.
Starting point is 00:58:31 I thought it was just boring. I was ready to leave, honestly. I thought it really had lost the heart that was at the center of the original movie. Like, why are these things happening? It's clearly, you know, just an excuse to get from one choreographed action sequence to another. So I think the first one was a little bit of a lightning-in-the-bottle magical event, but it was hard to reproduce in later installments. Axel, spelled A-K-S-E-L, says,
Starting point is 00:58:58 can we assume that any particle is always being observed by its interactive environment? So why would a detector be treated differently? Or could it be that a detector is breaking the environment symmetry? So no, we cannot always assume that a particle is being observed by its interactive environment. So there's two things going on here that are very important. One is for observation in the sense of a quantum mechanical observation, you know, quantum mechanical observation that splits the wave function, into different possible observable eigenstates would be the technical term.
Starting point is 00:59:34 In other words, an observation that entangles the system that you're looking at with some measuring device, you know, that's a specific kind of physical interaction, but it's not the only kind. The example I like to use is if I have a spinning particle, right, if it's in a superposition of spin up and spin down, and I drop it in a gravitational field. there's no question that the gravitational field is interacting with the particle. It's pulling the particle in the direction of increasing gravity. But it pulls the spin up and spin down parts of the particle in exactly the same way. So it's not entangling.
Starting point is 01:00:13 It's not measuring the spin of the particle. So particles are constantly interacting with the world around them, but that doesn't mean they're being observed in the technical sense that we talk about measurement in quantum mechanics. The other thing, that's the first thing, the second thing is particles are tiny. So an individual particle is relatively easy to shield from being observed by the rest of the universe. Like we said, it can be interacting with the rest of the universe. It can be trapped in a certain location, in a crystal, and some sort of potential inside a solid or something like that.
Starting point is 01:00:49 But it's not interacting in a way that measures any feature of it. Whereas when you have a macroscopic system, like a cat or a pointer on a device or something like that, if you try to put that into a superposition of two different things with different locations in space, it's very, very difficult, essentially impossible to shield it from being measured by its environment. That's why, according to the standard explanation of decoherence,
Starting point is 01:01:18 we see in the real world things with relatively localized positions in space that need not be the case for a single element. particle because it's not bumping into things and having its position measured all the time. Walter E. Miller says, what is your expectation for the next generation of particle accelerators? A more powerful version of the LHC for proton smashing or a completely different version, perhaps a muon or electron accelerator, what will physicists be probing for? I'm not going to say a lot about this because I don't really have a lot to say. I'm a huge supporter of experimental elementary particle physics. I think we should.
Starting point is 01:01:56 should build new particle accelerators, I don't know what they're going to be. I remember participating in a snowmass workshop. Snowmass is a kind of process. It's literally a place, right? In Colorado where you meet and you, I think it's Colorado, anyway, in the Rocky Mountains where it's a ski resort, but in summertime, on occasional years, particle physicists will get together and map out the future of the field. And so this was when we'd already agreed that the large Hadron Collider is going to be built, but it's 20 years ago. So it's like 2004. The LHC was going to come online, but we were thinking about what's going to come next. And everyone rallied around the idea of building a linear collider, a collider that would take electrons and positrons or something like that, rather than
Starting point is 01:02:44 protons or antiprotons, smashing them together at very high energies. But the thing is that with a linear collider, you can't reach quite as high energies as you can with a circular collider, but you can get more precision because you can control what individual electrons and positrons are doing in a way that big protons smashing into each other like at the LHC are a lot messier. So the thought was the LHC would turn on, we would discover a bunch of new particles, and the LHC would be a discovery machine, and then the linear collider would be a studying machine, learning about all those new particles that we had discovered at the LHC. As maybe you've heard, we haven't found that many new particles at the LHC.
Starting point is 01:03:30 We found the Higgs boson, and we found the standard model. So far, that's it. So the motivation for a linear collider has diminished since then, and we still don't have a consensus 20 years later on what collider we will build next, or even if we will build one. probably the two most active areas of interest here are in China or are at CERN, once again, in Europe, for building a next generation collider. But I am not up on what people's favorite versions are. I know that muon colliders, which are sort of like electrons but heavier,
Starting point is 01:04:05 have received a lot of recent attention. They can, in some sense, be a best of both worlds kind of thing, where you can get the precision of an electron but also the higher energy of a proton. The problem is B yuan's decay. You can't keep them alive for very long, so there's special technical challenges there. As far as what they'll be looking for, you know, they'll be happy to find anything. There's no more targets. There were targets for the LHC, and they didn't find them.
Starting point is 01:04:31 So now it's a fishing expedition, but it's a good kind of fishing expedition. You know, there's something out there. It's very, very, very unlikely, in my mind to think that we've discovered all the particles there are to discover. What I can promise you is that they're discoverable at any particular new particle accelerator. So it's a cross your fingers and hope for the best kind of situation. Hey, everyone, it's Cal Penn. I'm the host of Earsay, the Audible and I Heart Audio Book Club. This week on the podcast, I am sitting down with Ray Porter, the narrator of Andy Weir's
Starting point is 01:05:08 audiobook Project Hail Mary, massive sci-fi adventure about survival and science and science. And what happens when you wake up alone very far from Earth? I really had to make a decision because I caught myself getting that frog in my throat and starting to get teary as I'm narrating some of these sections. And it's like, okay, yo, yeah, yo, is this indulgent? And I really thought about it. I was like, no, at this point it would kind of be betraying the trust the author and the listener have in telling this story if I don't go through it. But there's places in this book that deeply emotionally affected me. and I left it on the mic.
Starting point is 01:05:45 That's great. Because it served the story. People will say like, oh my God, I cried at the end. It's like, yeah, dude, me too. Listen to Eursay, the Audible and IHeart Audio Book Club. On the IHeart Radio app or wherever you get your podcasts. Prometheus says, I understand that mass and electric charge are two different fundamental properties of particles.
Starting point is 01:06:06 But as far as I know, there are no massless particles that have an electric charge. This makes me wonder if the electric charge is somehow an intrinsic property of the mass of a particle, what is your take on this? Well, you could imagine, this is a good question. It's fundamentally a quantum field theory question because the field theoriness matters in this case. You really can't really think just about individual particles. The reason why is the following.
Starting point is 01:06:31 If you have a massive particle, so forget about electric charge for a second. If you have massive particle, there's energy that you associate with a particle, and part of that energy is its rest energy, E equals MC squared, and part of it is its kinetic energy, if it's moving. And in relativity, the relationship is that E squared equals p squared plus m squared, where p is the momentum, and we've set speed of light equal to one. So it's a Pythagoras' theorem kind of thing. The total energy is the hypotenuse of the mass and the momentum.
Starting point is 01:07:05 So in that case, there is a minimum energy that is not zero. The minimum energy you can have is the mass. as the mass goes to zero, the minimum energy gets smaller and smaller, and for massless particles, you can have arbitrarily small amounts of energy, okay? Now, if you consider charged particles rather than neutral particles, there's always some energy there because there's energy in the electric field around the charged particle. So I think that, even though I haven't thought about this, you should do it much more carefully, I think that if you have charged particles, they will always have at least a little bit of mass.
Starting point is 01:07:40 but that might depend on details of the quantum field theory. It might be possible to build some quantum field theory where you effectively have massless charged particles. I kind of doubt it. You could write it down and try, but I think that something would get in the way of having the physical mass actually be zero. Tracy P says,
Starting point is 01:07:59 how is it that black holes can grow if observers sufficiently far away never see infalling objects across the event horizon? I've heard answers to this question that sideste up the issue by using different coordinates, but the black hole, does the black hole only grow in certain reference frames but not others? No, black holes really do grow because who cares what observers far away see, right?
Starting point is 01:08:21 What does the black hole see? It's the much more relevant question. Also, I mean, that's the glib but correct answer, but there is a subtlety here that it's worth remarking on. When we talk about what observers see when particles fall into black holes, we very often make an approximation, which is we imagine that the particles falling into the black holes themselves have no gravitational field. I don't mean by that a massless particle because even massless particles have a gravitational
Starting point is 01:08:51 field. They have some energy, so they have some gravity, okay? Which actually makes me rethink the answer to the previous question because the gravitational field is kind of like an electric field. So maybe just like there are massless particles with a gravitational field, there are also massless particles that can be electric field. charged. Maybe I was wrong about that one. Shows you what I know. Anyway,
Starting point is 01:09:13 I'm not familiar with any viable field theories that have electrically charged massless particles, but maybe that's just because they don't appear in nature, so we don't try too hard to construct them. Maybe they are possible, after all. I'm talking myself into it. Anyway, the point is that real particles do have their own gravitational field, and we ignore that when we talk about what you see when you throw a particle into a black hole. So as a result, when a real particle falls into the black hole, it pulls on the black hole, just like the black hole pulls on it. So what physically happens, and people have actually thought about this, is that the event horizon of the black hole, when the in-falling particle comes close enough to it, that event horizon expands a little bit because it's being pulled by the particle, and it sort of engulfs the particle and eats it up.
Starting point is 01:10:02 and the result is a slightly bigger black hole that includes the mass and energy of the particle itself. So I think that from the point of view of the outside observer, you would see the particle move more and more slowly, but eventually in the real world, you would see it swallowed by the black hole. It's certainly true one way or the other. The black hole does grow. Whether or not an observer sees it from far away is not really the relevant question. Okay, my mind is still thinking about this massless charge,
Starting point is 01:10:32 particle question, I should actually think a little bit before answering these questions in real time. I still don't, I'm not sure what the answer is, but let me say two other true things that might be relevant. One is, certainly it's possible to write down a classical field theory that would correspond to massless charged particles. My suspicion is that quantum effects renormalization virtual particles would effectively give such particles mass, but I don't know about that. I'm not 100% sure about that. The other thing worth saying is that they're clearly are not massless charged particles in the real world. That much is perfectly clear because they'd be very easy to create in virtual particles, sorry, interactions, et cetera. We could just,
Starting point is 01:11:16 you know, bump any charged particles in to each other and they would spew out a very large number of massless charged particles. That doesn't happen in the real world. So it's a completely hypothetical question, which is fine. But just so I was not, if I was not clear about that, There's no lingering question that they exist in the real world. It's a purely question about what we could hypothetically imagine. Okay, even if I have more thoughts on it, I'm not going to say anything more. That's enough to chew over. Let's move on.
Starting point is 01:11:44 Brandon Lewis says, I sometimes wonder whether industrial civilization might have arisen on Earth more than once. In other words, are we sure ours is the first one given that the evidence of previous civilizations might have been wiped out in some cataclysm? What do you think? I think it is very, very, very, very unlikely. that anything like that happened. It's fun to imagine that there were previous industrial civilizations, but I think that you would underestimate
Starting point is 01:12:12 the extent to which we would imagine such a civilization would leave its mark. Like even if you got rid of all of the literal physical artifacts of our civilization, we have also changed the atmosphere and the geology of the planet and future scientists would be able to recognize that, right? But also, you know, historians and archaeologists and paleontologists are really
Starting point is 01:12:39 remarkably good at figuring out things about the evolution of life and the evolution of civilization and things like that. It doesn't seem to make sense to me that you could literally have an advanced industrial civilization that completely escaped our notice. The only way you could possibly do it would be if it were completely localized. They were like an advanced industrial civilization that lived on an island like Atlantis, and then it collapsed under the sea. So it was really, it had a small impact on the earth as a whole, and then all of the physical evidence was just hidden forever. I don't think that a single island could support the coming into existence of an advanced civilization, so I'm not very worried about that. And by the way, Atlantis is not real. So that's just a
Starting point is 01:13:28 colorful analogy to what it would have to be. But I think the real answer is it's very very, very, very unlikely. Aaron C. says, I read recently that alif null is the set of all real numbers, and is called the smallest possible infinity. This had me thinking about the sizes of infinities relative to each other, and there are a few things that I'm having trouble wrapping my head around. How could there be a bound to how small, or how, yeah, how could there be a bound on how small an infinity could be? Couldn't you just find an arbitrarily smaller subset of all the real numbers? For example, wouldn't the set of all prime numbers be smaller than the set of all real numbers?
Starting point is 01:14:05 Which leads me to the question, is there any real-world physical implication or utility to comparing the different sizes of infinity? So there's a lot going on here, as usual. It's a longer-than-question than it needs to be, but that's okay. I'll just ramble on about a little bit. So the first thing I want to say is al-fnol is not the number of real numbers. It's the number of integers or the number of natural numbers.
Starting point is 01:14:31 but the number of real numbers is a strictly larger infinity. This was one of the discoveries by Giorg-Contor years ago that there are different sizes of infinity and the set of real numbers, which is the continuum, right? The real numbers are all the numbers, including pi and E and all those things, square root of two. The integers are 0-1-2-3, minus-2, et cetera, and Cantor proved that the number of real numbers
Starting point is 01:15:00 is strictly larger than the number of integers. But infinity is not a number in the usual sense. And so there are things you can say about infinity, but they don't always map on to things that we're used to saying about non-infinite numbers, such as if you take the, just take the integers, okay, which do have what we call a cardinality, which is the size of the set. How many numbers are there?
Starting point is 01:15:27 Cardinality of the integers is alif null. But you can take half of that set, like just take the even numbers, right? What is the cardinality of that? It is also alifnol. The size of the set, all the even numbers, is equal. It's not approximately equal. It's exactly equal to the size of the set all of the integers. Okay?
Starting point is 01:15:50 And why? Well, because we can put them in one-to-one correspondence, namely for every integer, multiply it by two, and then you get an even number. So the rules are a little bit trickier. A subset of the integers may or may not be infinite in size, but if it is infinite in size, it is equal in cardinality to the integers as a whole, whereas the real numbers are a strictly larger set. There's a lot that is either unknown or choice dependent about the transfinite numbers as they are known. So there's the continuum hypothesis, for example, that hypothesizes that there are no infinite numbers with sizes between the real numbers and the integers. So there's the set of the integers, alif not, and then under the continuum hypothesis, alf 1 would be the number of real numbers, and that's strictly larger, but there's no infinite numbers in between.
Starting point is 01:16:46 But that's not something you can prove in the ordinary language of set theory. You can assume it. You can assume the continuum hypothesis as an axiom, and that's completely consistent, but it's also consistent not to assume it. So that's where I stop paying attention, really. Like, not because it's not interesting, but because it's super weird and difficult and things that we're not used to thinking about in ordinary arithmetic. So you kind of have to specialize in it and bite the bullet to really keep everything straight in your mind. And I have not put that work into it. As far as physics is concerned, I think that the natural answer.
Starting point is 01:17:21 is there is no, well, what should I say? The tempting answer, let's put it that way. The tempting answer is it doesn't matter if there are different size, infinite numbers, because we human beings can only sort of experience finite things, right? Even if there's a continuum of points in space, for example, we can't measure exactly the location of points in space. We measure things do within a certain precision, and therefore there's, in effect, only a finite number of outcomes we can get by measuring things. Having said that, there might be examples of, for example, cosmological scenarios, the universe being either infinite or finite. Maybe there it does matter whether you have different sizes of infinity or not. But I think all of that is very much in the realm
Starting point is 01:18:13 of speculation. It's certainly not something where your typical working physicist needs to worry about the sizes of different infinities. James Tronson says, given that the universe is expanding, what is it expanding into? Rather, if nothing exists outside the universe, how does it expand? So this is a classic question.
Starting point is 01:18:31 This is an old saw, but that's okay. We can dip into those occasionally. The answer is it's not expanding into anything. And the answer is it doesn't need to have anything outside the universe in order to expand. And the reasons why are because when we're talking about the universe,
Starting point is 01:18:47 some of your intuitions about objects inside the universe are not going to apply. Okay? So we have experience with balloons or raisin bread or things like that. Objects within our universe that expand, and by expanding, they grow into the space that is around them. So when cosmologists are talking about the expanding universe, they will very naturally use vocabulary words that have grown up over the years to refer to, to, refer to things that we know about in our everyday experience, like expand, et cetera. And your intuition then wants to attach the features of things you know about to the universe. But they might not apply, okay?
Starting point is 01:19:29 So when we say the universe is expanding, what do we mean? We mean that the physical distance between distant galaxies is larger now than it used to be and smaller than it will be in the future. There is literally more physical distance in between galaxies. That doesn't mean that there has to be anything outside the universe. The universe doesn't have to expand into anything. This is a feature of non-Euclidean geometry and general relativity that if you have, even if the universe is finite in size, okay, the universe is like a three-dimensional
Starting point is 01:20:04 sphere in space, then that sphere can have different sizes, and that sphere can grow or shrink over time. Even if the universe is infinite, you know, we were just talking about, there's an number of numbers, and if you double them, it's still an infinite number of numbers. Likewise, if the universe is infinite in extent, you can move everything apart from everything else. It's still infinite in extent, but in a very real sense it has expanded. So the mental switch you have to do when you start thinking about general relativity is that the geometry you're talking about is intrinsic to the space or space time that you're talking about. This was actually an idea that
Starting point is 01:20:46 came about from Gauss and Riemann and those folks back in the 1800s, you don't have to imagine embedding a geometrical figure into a larger space. You can just talk about its properties intrinsic to the space itself, and that's what we do when we talk about the universe. Craig Vandervest says, while Chad GPT's deep language learning has been the rage in 2023, a few years ago it was deep reinforcement learning. DRL provided a exciting Atari, Go, and chest demonstrations of superhuman game skill. I've heard that deep learning techniques have been used on particle physics data sets, but are there other areas of physics or philosophy that are or may be productively explored? For instance, could or are ontologies being
Starting point is 01:21:34 explored using DRL brute force techniques to help find or outline paradoxes and conceptual limitations that a human may yet be blind to? I think that this is a very interesting field, is being thought about right now, the use of AI models in physics. I don't know about philosophy. That one I've not actually come across, but maybe it could be. Look, there's certainly very down-to-earth uses of deep learning, machine learning, reinforcement learning in physics and astronomy, because we have giant data sets to analyze, right? So it is a very active field to use these techniques, deep neural networks, things like that, to sift through. large piles of data looking for new particles or trying to understand the distribution of galaxies,
Starting point is 01:22:23 things like that. Okay? That's not going away. That is a very exciting area. But you're not looking for new kinds of things. You're telling the computer what to look for, and it will find it or not. It's much harder to imagine using the current kinds of AI programs to do truly creating. work in physics or philosophy.
Starting point is 01:22:49 And I want to very quickly say, that's not because it's impossible. It's just because that's not what the current set of models are trained to do. The current set of models are not even very good at logical or mathematically rigorous thinking, right? Because they're really very good at a specific thing. And that specific thing is completing sentences or drawing images or playing a game. and that's not enough to come up with a truly new, you know, picture of space time or something like that. You know, you could imagine, you know, imagine going back to 1910 and you could ask a, but go back to 1910, but bring along with you a modern computer with AI programs installed on it.
Starting point is 01:23:36 You could certainly, you know, feed into it all the physics that was known at the time and say, you know, solve the following equations or look for the following pattern. so forth. It's very hard to imagine the current kind of AI programs that we have saying, oh, you should think of space time as curved. Or, oh, you should replace positions and velocities of particles with a complex valued quantum wave function. You know, that's just not the kind of thing that it is trained to do. You shouldn't hold that against the AI programs, just like you shouldn't hold it against the go playing programs. They're not good at horseback riding. I mean, they're really very good at playing go, right? How should you design an AI program to come up with
Starting point is 01:24:22 truly novel ideas in physics or philosophy or anywhere? Well, I don't know. That's a good one. That's a good question. I'm not saying it can't happen. I'm just saying that's not what we've tried to do yet. Hey, everyone. It's Cal Penn. I'm the host of Earsay, the audible and I-heartedly. audiobook club. This week on the podcast, I am sitting down with Ray Porter, the narrator of Andy Weir's audiobook Project Hail Mary, massive sci-fi adventure about survival and science. And what happens when you wake up alone very far from Earth? I really had to make a decision because I caught myself getting that frog in my throat and starting to get teary as I'm narrating some of these sections. And it's like, okay, yo, yeah, yo, is this indulgent? And I really thought about it. I was like,
Starting point is 01:25:09 know at this point, it would kind of be betraying the trust the author and the listener have in telling this story if I don't go through it. But there's places in this book that deeply emotionally affected me and I left it on the mic. That's great. Because it served the story. People will say like, oh my God, I cried at the end. It's like, yeah, dude, me too. Listen to Eursay, the Audible and IHeart audiobook club on the IHeart Radio app or wherever you get your podcasts. When people turn to telehealth for weight loss, they're looking for real support. That's why more people are choosing orderly meds.com. Orderly meds connects you with real doctors and access to proven GLU-1 medications like
Starting point is 01:25:49 semaglutide and terseptatide. No guessing, just a more supportive experience, and all shift directly to your door in discrete packaging. Do your research, ask questions, then visit orderlymeds.com slash podcast for an exclusive offer. That's orderlymeds.com slash podcast. Individual results may vary, not medical advice, eligibility required, C-Sight for detail. Johann Falk says, do you think large language models and AI chatbots will affect the way we look at knowledge? Good. I think that this is a very good question because the answer is maybe yes. You know, does an AI, does a large language model know things in the sort of most strict philosophical sense?
Starting point is 01:26:34 I'm not sure what you should say about that. clearly you can ask it questions and it can tell you answers. Sometimes those answers will be wrong, absolutely, but very often, if you ask it a well-posed question, the answers will be right. If you ask questions of human beings, they will sometimes be wrong too, right? We don't hold that against them, the fact that they are sometimes wrong. If they have some very large swath of knowledge that a human being can reliably tell you the correct answer to, we would say it knows something, it has some knowledge.
Starting point is 01:27:05 why shouldn't we attribute the same statements to AI models? But I should say, not and, but the kind of knowledge is different, right? As we discussed earlier, and this goes back to podcast conversations we've had with people like Melanie Mitchell, Gary Marcus, et cetera. The way that large language models have that knowledge is a different way than human beings have that knowledge. human beings take the world and compress it into models, models that we might call common sense or folk physics or whatever, but models of pieces of things that have relationships between them and interrelate to each other in various ways. Whereas large language models are really looking at LLM, that is right there on the tin, they're looking at language. They are looking at what sentences people have said in the past and trying to figure out how words will fit together in a certain way. It's a very different way of coming up with the true statements that they come up with.
Starting point is 01:28:09 It's not they don't come up with true statements, but they generate them in a very different way than human beings do. So that's why I think it's a very interesting question to ask, does that count as knowledge? And I suspect that what's going to happen is that we will begin to distinguish between different kinds of knowledge. We will attribute a kind of knowledge to a large language model, which is a different kind of knowledge that a smart human being has. which isn't to say, once again, that you couldn't invent a different kind of AI program that also had the same kind of knowledge that a human being has. It's just not what we have in an LLM. Adam Rotmill has a priority question. Remember that priority questions are things that you get once in your life for every Patreon supporter.
Starting point is 01:28:54 You get to ask a question, I will do my best to answer it. Adam has split his questions to two parts, which are really two different questions, and you are not allowed to do that. So I'm going to answer the first one. It's still only one question for question. That's still a rule even for priority questions. The question is, when I think about the first second after the Big Bang, my understanding is that as we look backward toward T-equal zero, the temperature becomes hotter and hotter until we approach infinite temperature.
Starting point is 01:29:20 But when I think about what temperature is, I know it has to do with motion. I know there were many interactions in that first second. Carlo Rovelli tells us that time is the order of events. From that perspective, I wonder if we can say that the temperature becomes time-like as it reaches infinity, such that the first second might as well have been an eternity. Well, no. No in all sorts of ways, but I'm not exactly sure what you mean at some points in the question. So when you say, I wonder if we can say the temperature becomes time-like. I'm not sure whether you mean temperature is like time in the sort of casual sense or time-like as in the
Starting point is 01:29:59 technical relativity sense, the difference between a space-like trajectory, one that goes faster than the speed of light, and a time-like trajectory, one that goes slower. I presume you mean the former, rather than the latter. It's kind of like time, but maybe I'm getting this wrong. I'm going to do my best. I'm not quite sure what it means to say the temperature becomes like time. Of course, in an expanding universe, the temperature evolves essentially this, there's footnotes here and caveats as always, but essentially the temperature evolves monotonically with time, right? The temperature of the universe only ever goes down as the universe expands. Sometimes it goes down faster, sometimes it goes down slower, etc. Or thought the other way
Starting point is 01:30:47 around, given the temperature of, let's say, the microwave background now, about 2.7 Kelvin, if we contract the universe, for example, by going to the past, it becomes hotter monotonically. It never starts cooling down. Now, it's true that sometimes you hear people say that as you approach the Big Bang, you approach infinite temperature. That's a little bit sloppy for a couple of reasons. Number one, there is no Big Bang. Remember that. The Big Bang singularity is just a prediction of generality that we all expect to be wrong. So don't spend too much time thinking about what life just like literally at the Big Bang until you have some quantum theory of gravity. The Big Bang model, where the universe expands and cools and galaxies form,
Starting point is 01:31:33 that's in 100% good shape, but that's entirely different than the Big Bang event at T-Equil zero. So you will hear people sometimes nevertheless say you approach infinite temperature, but that's just an extrapolation. It's an extrapolation beyond what we're allowed to talk about, right? if you have a box of gas and you squeeze it to smaller and smaller sizes, the temperature goes up, and as you hit zero size, the temperature would go to infinity. But you don't really ever hit zero size. That's not a thing that happens.
Starting point is 01:32:03 So the third thing to say about this is, of course, the world is not a box of gas. It's not made of particles in that way. It's made maybe of quantum fields, but maybe in quantum gravity it's made of something even more subtle, something more purely quantum mechanical. In quantum field theory, there are definitions of the word temperature other than it has to do with motion, right? You know, when Adam, when you say I think the temperature has to do with motion, that's not necessarily true in a quantum field theory. There are other definitions of what you're talking about because you don't have particles moving. You have fields interacting and vibrating and so forth.
Starting point is 01:32:42 So I think that in the spirit of the question, there's nothing. really bizarre going on as you approach T-Equil-0. At T-E-E-Q-0, there's going to be something bizarre going on that we don't know what it is, but the approach is pretty ordinary and normal. There could be things like phase transitions, you could have inflation and stuff like that, but the laws of physics don't need to be changed in order to make that happen. Having said all of that, there are way more speculative ideas, not about conventional standard Big Bang cosmology, but about quantum gravity, and the emergence of time. In fact, Carlo Rebelly is the co-author on one such idea called the Thermal Time Hypothesis,
Starting point is 01:33:28 where, indeed, it's not that temperature is playing the role of time, but the temperature characteristics of a certain quantum system allow us to show how time emerges in the Thermal Time Hypothesis. That's a complex and subtle story. I'm not sure that I believe it entirely, but it is out there. maybe that's what you're referring to. I'm not sure. If it is, then I don't have that much to say about it. I'm not, I'm interested in it, but I don't know enough details to say much more. Brad Malt says, in your recent podcast with Thomas Hurtog, you explore applying the rules of quantum mechanics to the creation of the universe. That got me wondering. Presumably, right after the big bang, everything in the quantum universe was in a state of superposition. But what would cause the first branching of the wave function of the universe? There was no observer to make the first measurement or no macro. microscopic object for something to interact with and cause decoherence.
Starting point is 01:34:23 Well, this is actually a subtle question. I mean, parts of it are easy to answer and parts of it are more complicated. Remember that observing has nothing to do with anything. And if you believe many worlds at all, which I presume is going on beneath this question, one of the achievements of the many worlds formulation of quantum mechanics is to erase words like observer or measurement or anything like that from the laws of physics. Those words are in there in the Copenhagen interpretation, but in many worlds, it's just physical systems interacting with each other. Okay?
Starting point is 01:34:55 So what do you mean by what happens in the real world when you do a quantum measurement? It is something like decoherence and branching of the wave function. In order for that to happen, you have an environment, that is to say, the degrees of freedom that you're not keeping track of in your system, et cetera, and then you have the system that you're looking at and they become entangled, and that's decoherence. You can do all of that right there near the Big Bang. You can just call the environment the specific locations of all the photons or the specific quantum state of all the fields that you're not paying attention to, right? You're paying attention to some things like maybe the large scale distribution of density of matter or something like that. But there's other things that you're not paying attention to and those are the environment.
Starting point is 01:35:42 If this sounds a little fuzzy, then that's fine. It is fuzzy. It's not just you who thinks that it is a little bit fuzzy. You know, I wrote a paper a few years ago with Jason Pollock and Kim Boddy about decoherence during inflation and its effect on eternal inflation. Because sometimes when people talk about eternal inflation, they act as if the collapse of the wave function is a truly objective event that happens stochastically, which would not be true in many worlds. It's an apparent event caused by decoherence. And so we ask the question. This sometimes happens. when you're a theoretical physicist, we ask the question, if you do it right, how does that change the answer from what answers people have been quoting? And you find that it doesn't change it very much at all. It changes it a little bit, but not in a way that really matters very much. So this can be done. It's just decoherence. There's just an environment, and you can do it. But it's not quite as easy as it is in the laboratory. In the laboratory, it's a little bit more straightforward which parts of the world to call the environment and which parts
Starting point is 01:36:46 to call the system. In the early universe, that's not so straightforward, so that's why it's work. That's why I have to write papers about it rather than just quickly calculating it and getting on with your life. Bill McIntosh has a question. It's a long question, so I'm kind of ending it down to the essence here, which is, isn't it possible or even likely that the universe is so vastly large that curvature is difficult to detect, similar to how an ant would assume the earth is flat? In other words, we talk about the geometry of space in the universe on very large scales, and we say the universe looks flat to us, and Bill is asking, you know, is it possible, it's just a little bit curved and we don't notice.
Starting point is 01:37:26 Yes, that's 100% possible. And so, you know, cosmologists are not dummies. They know that. They try to measure it. And what you do is you don't say the universe is flat, we're done. You say the universe is, the data that we have on the universe is compatible with it being flat, and we can put error bars on that. We can say that it is true to plus or minus a certain percent.
Starting point is 01:37:47 I don't know what the percentage error bars are now. It's something like 1%, 5%, something like that. But by the way, beyond the part of the universe we can observe, beyond our observable horizon, not only is it completely possible that the universe is not flat, it's also completely possible. It's not smooth, right? It's not homogeneous and isotropic.
Starting point is 01:38:10 There is this game that gets played in the popularization of cosmology where people talk about three different geometries the universe could have. It could be flat or it could be positively curved or it could be negatively curved. Well, those are only the three different geometries you can have if you assume that the curvature of the universe is the same everywhere, both at every point and in every direction. And that seems to be an assumption that is borne out on large scales in the universe that we observe, but there's zero reason to think that that that. assumption needs to continue to be true beyond the universe that we're actually able to see. So there's an infinite number of possible geometries the universe could have. It's not just those three. It could be wildly different from place to place.
Starting point is 01:38:54 James Allen says, how are we supposed to make sense of fractional charges in quarks? It makes sense to say there is a symmetry that charges can exist in units of plus one or minus one, but what is guaranteeing that fractional charges add up to integer multiples of that of the electron? Could you have a charge particle with charge 0.7 or e or pi? Well, we don't know, is the short answer here. You know, the fact that the quarks have one-third charges or two-thirds charges is pretty much irrelevant to this question. What matters is that they're rational numbers,
Starting point is 01:39:27 so that there is always a certain number of charges that add up to integers, right? If we discovered quarks before we discovered electrons, we would have assigned them charge one, and we would have assigned electrons charge three or minus three. Nothing wrong with that at all. It is completely conventional. The overall scale doesn't matter.
Starting point is 01:39:46 So the right thing to say is that in nature, in the charges that we know about, they're all multiples of each other. They are integer multiples or divisors of each other. And that's a question you can ask. Is that necessary or is it optional, et cetera? And the answer is actually a little bit interesting because if you might, you might be know that electromagnetism can be thought of as being based on a U1 gauge theory. If you don't know what any one of those words mean, just wait until volume two of the biggest
Starting point is 01:40:18 ideas in the universe comes out. It will all be explained in great detail. But if that's all you knew, and it's basically, you know, Maxwell could have said that almost, not in those vocabulary words, but he knew the basic physics there. Then in principle, you could be allowed to have charges of any sort at all. A gauge theory like that, like electromagnetism is, does not by itself put any restrictions on what the charges can be. However, it turns out that if you extend electromagnetism to broader contexts, then you will often find that there is now a restriction on the charges of particles. For example, Paul Dirac showed a very long time ago that if you have magnetic monopoles in the universe.
Starting point is 01:41:02 So he was asking, you know, we have electric charges that have plus or minus charges and they are monopoles as far as electrical charge goes, which is to say they are just a plus sign or a minus sign, and all the lines of force go directly toward the particle and end there. Whereas for magnets, we have a north pole and a south pole. We always have both poles and the lines of magnetic force kind of wrap around inside. So Dirac said could we have magnetic monopoles, like a north pole without a point? a South Pole. And he came up with a way to do it, and he showed that as an implication of that way, if there's even just one monopole in the universe, magnetic monopole, then the restrictions of quantum mechanics imply that all the electrical charges have to be quantized. In other words,
Starting point is 01:41:50 have to be multiple, integer multiples of some basic unit. We have never seen a magnetic monopole, so that may or may not be relevant to nature, but there are certain theories that predict them. Likewise, if the U1, which is the symmetry that leads to electromagnetism, is embedded in another kind of gauge group like it is in grand unified theories that try to unify the strong and electro-week interactions, then you can get charge quantization also. So there are speculative ideas for why charge needs to be multiples of some basic unit, but we don't know whether any of those speculative ideas are true, and they might or may not be. It may just be a fact that all the charges are multiples of a basic unit.
Starting point is 01:42:35 Maybe that's just one of the things we need to live with. Jesse Rimler says, estimates are that at least 500,000 Iraqis died as a result of the U.S.'s invasion of Iraq, and the resulting war between 2003 and 2011. The pretext for this invasion is now seen even in the U.S. as unjustified. During this conflict, do you think it would have been morally correct for a third nation to supply weapons, intel, and even troops to the Iraqis in order to defend against the U.S. forces. So there's kind of two levels at which I want to answer this. One is the surface level, then there's the deeper level. At the surface level, I don't think that the phrase supply weapons and intel to the Iraqis is well defined. Like, who exactly are you supplying these weapons and
Starting point is 01:43:25 Intel, too. You know, we have the obvious analogy right now, the U.S. supplying weapons in Intel to Ukraine in its war against Russia. But there, I think that there's very good moral reasons. Since you're asking about moral justifications here, I think the moral reasons are very good to help Ukraine in staving off the Russian invasion. They were invaded and they didn't want to be invaded. In Iraq, it was a much more complicated thing. I think. you can say in some vague sense that Iraq did not want to be invaded, but the government of Iraq at the time was a bad place, right? It's not at all obvious that you would have been morally correct to give weapons and intel to Saddam Hussein to help fight off the United States. I mean, having said that,
Starting point is 01:44:13 I was not in favor of the invasion myself. I thought it was like you say, cooked up for the wrong reasons, and that's bad. But in the real world of geopolitics, you're not just abstractly giving weapons and intel to countries. You're giving them to people or governments or whatever, and in the initial stages of the Iraq War, that would have been at least a slightly more morally questionable thing to do. Now that you would have a better case if you said, well, okay, after Hussein had fallen and we were later into the war in Iraq, there was still an insurgency going on, right, where Iraqis were fighting against the United States occupiers and there I think you would have had a better case for giving them weapons or intel or whatever.
Starting point is 01:45:01 But it's still a tricky case because when you look closely at who was leading those insurgencies, they were also not the nicest people in the world. So again, maybe there was a case. I don't remember the details well enough to go into names and places and things like that, but I think you have to think it through. So that's the surface level of the question. There's a sort of subtext level of the question inspired by the comparison between this situation and the Ukraine situation, which is a lot of people criticize the U.S. and NATO giving support to Ukraine on the basis that you wouldn't want it done to you. You wouldn't want other countries to give support to the places that you were invading, would you? And, you know, I think that's a very dumb, bad argument.
Starting point is 01:45:54 Or even sometimes the argument is put in as the United States has no right to do this kind of thing or you have no right to pass judgment on Russia or Ukraine or whatever because the United States has done so many bad things in its past. I think that's just a silly thing to say. I mean, the United States has absolutely done all sorts of bad things in its past. And the right thing to do with respect to that is to criticize it for doing that. It's not as if Americans think that it's bad to criticize America. Americans criticize America all the time. And some more than others, of course, and you should be thoughtful about how you do that and think about it. But there's no moral guideline that says that you just can't criticize other countries until your country is completely correct.
Starting point is 01:46:40 I think you should criticize all the countries that are doing bad things, your own country as well as other countries. Sugar Pine Press says, do you suppose that in this? same way that the contradictions that exist among a multiplicity of religious beliefs lends credence to the theory that none of them are correct or even that God doesn't exist, the contradictions between numerous metaethical theories increases the likelihood that none of them are correct. Not really, no, I don't think so. I mean, forget about difficult things like religion and ethics and so forth. There's plenty of cases where we have multiple theories because we don't know what the right theory is,
Starting point is 01:47:19 and yet one of them is going to be correct, right? The fact that there are multiple theories to disagree with each other, I don't think is very strong evidence that any one of them is incorrect. In the case of religions, it's a lot deeper than that. The story is a lot more complex than that.
Starting point is 01:47:35 It's not just that there are a lot of religious beliefs, but that the specific kinds of religious beliefs that there are and the ways that they develop, you know, in different countries and things like that are to me exactly what you would expect if none of them were true, right? If it were really just human beings telling each other's stories, rather than saying something true and important about the nature of the universe. So that may or may not be true in these other cases where you want to compare them. In the cases of metaethical theories, for example, I could very easily imagine that one of them is true and the others just are not true. I don't see what the slightest impact. that there is on the existence of other theories should be for the theory that I think is true. Maybe there is a more detailed analogy to be spelled out there that I don't know about, but as it is, I don't think that that has a lot of weight.
Starting point is 01:48:33 Simon Carter says, I know that Bell's theorem does not apply to many worlds because it just proves that a hidden variables interpretation can only be non-local. Does many worlds assume non-locality at the fundamental level? Well, it goes back a little bit of little bit to what we've already talked about, that the way that you choose to describe the branching of the universe is up to you in some sense. There are wrong ways to do it for sure, but there's not necessarily a single right way to do it. And I think that someone like David Wallace would say he has a way of doing it that recovers locality at the fundamental level. My way of doing it does not have locality at the fundamental level, but I also don't think you should have locality at
Starting point is 01:49:16 at the fundamental level, because I don't think that physics has locality at the fundamental level. There is such a thing as gravity. And in a world with quantum gravity, you don't expect physics to be purely local. So as I've said before, from my perspective, the thing to puzzle over is not, oh my goodness, how are we going to include non-locality in physics? Rather, it is, oh, my goodness, why does the world look pretty local to us in our classical world? I think you can try to answer that question, but I think that's the one you should be focusing on. The surprise is not non-locality. The surprise is locality. Peter Musgrave says, as a lapsed relativist who went into software long ago,
Starting point is 01:50:00 I've continued to monitor the new physics textbooks on GR, collecting some along the way. This week I get yet another email from a publisher with yet another new GR book on offer. It seems like there are several new textbooks on GR per year. This seems like a lot. Why do you think people are writing GR books at? this rate? What made you write your GR textbook? I'm not sure if there are several new textbooks on GR per year. That would sound like a lot. By the way, GR general relativity, for those of you who are not in that subfield. But I'm very happy that there are multiple books out there because the books
Starting point is 01:50:33 are different. They're not just Xerox copies of each other. Different people have different ways of coming to terms with these different ideas. And so just among famous books, if you compare, you know, Bob Wald's book, to Mizner Thorne and Wheeler, to my book, to Jim Hartle's book, to Stephen Weinberg's book. These are all radically different books. Like none of these two books look alike, okay? They're all teaching you general relativity, but all in very different ways. As far as what made me write my GR textbook, you know, when I was writing it, I did have at least one famous general relativist say, why are you writing another book? We already have Wald's book. We don't need any more books. But if you've ever looked at Wald's book, it is a brilliant, wonderful
Starting point is 01:51:16 gorgeous book, a true tour de force and a, you know, a work of art in a very real way, it's also not the best way to learn general relativity for the first time for many people, including myself, and I say that as someone who took a course that used that book to teach. So it's everything is in there, and it's all correct, but it can be hard to extract sometimes. So my own book, this is not exactly correct, but my own book can be thought of as, you know, Wald translated into English for people who are not thinking in the pristine mathematical way that Bob Wald thinks. And it's not just that. I put other things in there as well, but different books are going to be useful for different people. I think that's the least surprising thing in the world, really. Anthony Nalt, N-A-U-L-T, says, What grounds space-time structure? I like being humane about the laws of nature and wonder if this intuition should extend to the laws of geometry. In other words, why is
Starting point is 01:52:14 distant simultaneity a thing in Newtonian space time, but not in Minkowski in space time? Are we just at ontological bedrock? So I'm not at all sure that I understand this question. I like it. I like the words that appear in the question. I'm not sure that I'm getting what is being asked in the sense of what grounds space-time structure. I mean, when you say, why is distant simultaneous a thing in Newtonian space time and not
Starting point is 01:52:39 in Mekowski space time? Part of me wants to say, well, because it is. That's part of how we constructed it. I mean, what Newtonian space time is, is literally an absolute space with absolute time. I mean, distant simultaneity is just there built into what you mean by Newtonian spacetime, whereas in Minkowski space time, it's just not. If what you're asking rather is, why is the world more like Minkowski space time than Newtonian space time? That's a different question, and that I don't know what the answer is. there is one nice feature that relativistic space time has that Newtonian space time doesn't,
Starting point is 01:53:19 which is the speed of light limit. You know, those of us who imagine hopping on a spaceship and flying across the galaxy might think that the speed of light is annoying, it's very, very slow, but in terms of physics, it has this extremely nice feature that it limits what you can do in the universe. If you clap your hands right here, right now in the room you're in, the impulse, the impact of that on the universe, cannot travel outward faster than the speed of light. In fact, it will travel out slower than the speed of light as far as the sound is concerned, but the visible impact will travel out at the speed of light,
Starting point is 01:53:54 but that means that you cannot instantly affect something a billion light years away and then instantly be affected back by it. And that's kind of a convenient thing when it comes to physics. It sort of provides a little bit of a limitation on what you can do. And as you know, in physics, very often we write down a theory that looks pretty good, but it has some weird implications. And I think that Newtonian space time would have weird implications because of this infinite velocity that we would, in principle, be able to have, that we don't need to worry about in the real world because we live in something more like Minkowski space. I mean, it's not exactly Minkowski space, because the universe is curved, the space time, but it's locally Minkowski. James Heath says is the sleeping beauty problem the same as self-locating uncertainty in many worlds
Starting point is 01:54:42 and my credence about the coin flip should be 50-50. The sleeping beauty problem, for those of you who don't know, is a thought experiment invented by philosophers. I think that Adam Elga popularized it, but I don't think that he invented it. So the puzzle is this. So sleeping beauty volunteers to appear in a philosophy experiment. Okay. And the philosophy experiment is the following thing. You're going to give Sleeping Beauty, Sleeping Beauty is going to go to sleep. That's what she does. That's what she's good at. And when she's
Starting point is 01:55:13 asleep, you're going to flip a coin. If the coin comes up heads, she will wake up the next morning, call it Monday. Okay. If the coin, and that's it, that's all it happens. If the coin comes up tails, then she will wake up the next morning, Monday, and then she will be put to sleep again with a memory erasing drugs so that she does not remember having woken up Monday, and then she will wake up again on Tuesday. Okay? So coin heads, you wake up once on Monday, coin tails, you wake up twice, once on Tuesday. In both cases, of course, after that, later on, she wakes up and she's fine. She all, she knows ahead of time what the experimental protocol is going to be, okay? And the question that she's asked when she wakes up is, what is your estimate, what is your value that you place on the probability
Starting point is 01:56:01 that the coin came up heads. And there are two very plausible sounding answers. One is, well, there's three possible things I could be. I could be waking up Monday in the coin is heads universe. I could be waking up Monday in the coin is tails universe, or I could be waking up Tuesday in the coin is tails universe. Those are three possibilities. I have no way of telling there's no difference to any of them when I wake up
Starting point is 01:56:31 and therefore I would give a one-third, one-third, one-third probability. So I'm a thirder for the coin coming up heads. The other argument says, before I went to sleep, I would have said it's a 50-50 chance that the coin was heads or tails. After I go to sleep and wake up, I'm a good Bayesian. I collect more data, but the data tells me nothing about whether the coin was heads or tails. Therefore, Bases theorem says it's still 50-50. There's a 50% chance, a hafer position on the coin being.
Starting point is 01:57:01 heads to begin with. So yes, this problem is very similar to many worlds, but it's not exactly the same because the worlds are different. In many worlds, there are multiple worlds, but they're simultaneous with each other. They exist at the same time. In Sleeping Beauty problem, in any one realization of the experiment, there's only a single world. So maybe you're comparing different possible worlds or something like that. I think that it is plausible but far from obvious that we should treat different possible worlds that you can imagine in the same way as you treat different actual worlds in the wave function of many worlds. So I will be very honest, my views on the original Sleeping Beauty problem go back and forth.
Starting point is 01:57:52 As of the current moment, I am a hafer. I think that the Bayesian argument that I gave you makes more sense. Partly this is because I taught a course last fall on topics in philosophy of physics, and we talked about the sleeping beauty problem. And one of my students wrote a really good paper that convinced me I should be a hafer. But of course, maybe next year another student writes another paper that points me the other way. I've not actually sat down. I really do hope to sit down and think about it and be able to come up with an answer all of my own. So they're related is the short answer, but they're not exactly the same problem.
Starting point is 01:58:28 Danny says, how is the bass playing going and what songs are you attempting to learn? So I'm only including this just to say, sorry that I haven't updated anyone on my bass playing or anything else that I'm doing in my life, because I've not been doing it. I've not had time. It's been quite a year. Let me tell you. And I think that as fun as it would be to share some stories about bass playing out there, it's more important for me to finish writing this book. So I got to do that. I have to prioritize. that. Sorry about that. The base playing is not going well because it's not going at all right now. Justin Proctor says, well, I understand that Wimps, weekly interacting massive particles, and axions are considered the two leading candidates for dark matter. What exactly are the differences between the two? They're very, very different. It's sort of an interesting feature that particles that are so different from each other can both be very viable candidates for cold dark matter. So by the way, dark matter,
Starting point is 01:59:27 one of the things we know about dark matter is that it's cold. What that means is that it's the particles themselves were moving very, very slow compared to the speed of light when they sort of first formed in the very early universe. And that's important the fact that they're moving slowly compared to the speed of light because if they're moving fast compared to the speed of light, that would have a big effect on the formation of large-scale structure in the universe and we would know it. So there were ideas early on about hot dark matter and so forth. Those have been ruled out by experiment. For very different reasons, wimps and axions are both cold dark matter, even though they're very different kinds of particles. Weekly interacting massive particles
Starting point is 02:00:06 are, you know, they're kind of like the z boson. You know, the z boson is one of the force-carrying particles of the weak interactions. It interacts weakly. It has zero electric charge. The only difference is that the z-boson is not stable. It decays away very, very quickly. So it's not going to be a good candidate for dark matter. But if you somehow had a model of particle physics in which there was a thing like the Z boson, but it was perfectly stable, that would make a very good dark matter candidate. So it's very heavy, you know, a hundred times the mass of the proton or something like that. So that's a lot. So mass of the proton is almost a billion electron bolts. So there's be 100 billion or even a thousand billion electron bolts for a wimp. Whereas axions are very light
Starting point is 02:00:54 particles, less than a single electron volt, less than a thousandth of an electron volt, in fact. And what you might expect is that they're so light, it doesn't take a lot of energy to make them move, so you might expect them to be hot, dark matter. But the axion has a very unusual way that it is formed from spontaneous symmetry breaking in the early universe. I'm not going to go through the whole thing right now, but the upshot is that even though the axiom particles are extremely light, they move very, very slowly when they are formed. A sense. essentially zero velocity. So even though the mass range here is very different, what is that, 10 to the 16 difference between the mass of a typical axiom and the mass of a typical wimp,
Starting point is 02:01:37 they both count as cold dark matter. They also interact very differently with ordinary matter. Wimps interact by the weak interactions, that's thus the name. Axions interact primarily electromagnetically with known matter, in terms of at least the ways that we are trying to look for the axions. That's the interaction that we're looking for, but it's a very, very tiny interaction because when I say interact electromagnetically, the axions are not electrically charged. They're neutral. So there's zero charge. You might think they don't interact with electromagnetism at all, but because of quantum field theory, there's always indirect interactions. The axione interacts with something that interacts with photons. So ultimately, you see an effective interaction
Starting point is 02:02:22 with an axion and two photons, something like that. So we've been very good at building experiments looking for WIMPs. We've been less good at building experiments looking for Axioms. It's a little bit harder to look for and find axions, but we're trying, so who knows, maybe we'll do it. You know, Wimps could have been found by now. The searches are that good. It's not that we should have found them by now, but we had a chance, and we haven't yet. So as a good Bayesian, your credence that the dark matter,
Starting point is 02:02:52 as axions should have gone up over the last 10 years or so. Jason says, in some of your podcasts, you refer to the ongoing decades of learning, where we shifted our view of energy density in a space vacuum from being zero to being significantly greater than zero and ultimately validating the cosmological constant. My confusion from an outsider perspective is, was there a legitimate belief at one point that the energy density was exactly zero? Well, I think so. I had that belief, so I think it was legitimate. But to be completely fair, this is a tough game where the rules are very unclear.
Starting point is 02:03:30 So what we're talking about here is the cosmological constant, the energy density in empty space itself, which, by the way, is not significantly greater than zero. Even if it is the thing that is causing the universe to accelerate, it's still a very tiny number. What 10 amy eight ergs per cubic centimeter or something like that is the energy density in the vacuum. And we didn't know. We never had a theory ahead of time for how big the cosmological constant should be. We had a sort of hand-wavy way of thinking about it, which said the following. If you start with some classical value of the cosmological constant, and then you turn on quantum mechanics,
Starting point is 02:04:08 so you live in a world where there are quantum fields and the quantum fields vibrate in their vacuum state, etc. It turns out that there are quantum corrections to that classical value, and they tend to make the classical value bigger and bigger and bigger. In fact, naively, they make it infinitely big. So that's a problem. The cosmotral constant has divergent quantum corrections in our ordinary understanding of quantum field theory. Of course, that's a little bit of a cheat, because to get those divergences, you have to include contributions at arbitrarily small distances, arbitrarily large energies, and those probably aren't there. So if you put a cutoff on those contributions at the Planck scale, That's where you get the idea that the prediction is 10 to the 120 times bigger than the actual value.
Starting point is 02:04:56 And so the logic was the following. People knew that their naive prediction, and everyone agreed that it was naive, but it was the only thing we had, the naive prediction was that the vacuum energy should be 10 to the 120 times bigger than the limit we had on how big it actually could be. And they said, look, we don't know why. It's clearly much smaller than that. We would have noticed if it were that big. don't know why it's smaller, but it's smaller by at least a factor of 10 to the minus 120 from what we expect it to be. And here's where the magic happens. In the space of all
Starting point is 02:05:30 possible theories that we haven't yet thought of, it is easier for us to imagine a theory that takes a big number all the way down to zero than theories that take a big number down to 10 to the minus 120 that big number. Because zero has a symmetry, right? Zero is a nice round number. And even if we don't know why, it's plausible to imagine theories that would make the vacuum energy exactly zero. And in fact, there were plenty of candidates. Sidney Coleman came up with a famous quantum gravity argument that the cosmotial constant should be precisely zero. And there was no good reason. and there was no theory on the market that said it should be precisely 10 to the minus 120 times the plank scale, except for the anthropic principle, except for the idea that if the vacuum energy took on different values
Starting point is 02:06:24 in different parts of the multiverse, we would only be here if it were small enough to allow us to exist. And Stephen Weinberg and others pointed out that that would naturally give rise to a vacuum energy of order 10 to the minus 120, what the plank scale prediction really was. So I think that that argument was fine. I think that that was a good argument that the cosmological constant is probably zero. It certainly was never an airtight argument. It's not a statement along the lines of, here is the correct theory of everything, here's the correct set of laws of physics that I'm going to use to predict the cosmological constant
Starting point is 02:07:00 and get you a definite answer. That was never it. It was always and supposed to be a way. of reasoning about what would seem natural to us, given that we don't know the final answer. It turned out to be wrong, okay? I think it was wrong. It's still possible the cosmontrial constant is zero, and the actual dark energy is something else, but I think the smart money is the cosmological constant is not zero. So that reasoning was wrong. So that's good. That's a clue. That's helping us move in the direction of something that is more correct, but we're not
Starting point is 02:07:35 there yet. We don't have the final answer to those kinds of questions. James Swift says, you've mentioned writing a little bespoke software yourself in the past to help with some research problems. And I've heard other academics talk about it as a necessity on occasion. But I also get the impression that it's frustrating and too time-consuming, especially since they are not often trained or very experienced in software development. My question is, given the modern culture of open source development, do you think it would be useful for academics to put out calls for software to the wider community? Perhaps they do this already, and I am unaware. Yeah, they absolutely do do this. Now, I think that there's, don't get the wrong impression, there's plenty of academics, plenty of physics professors who write software all the time at a very
Starting point is 02:08:19 deep, sophisticated level. I just happen not to be one of them. I'm more of a pencil and paper person myself. And for better, for worse, the following thing happens. The people who know enough about open source development and how to use GitHub and things like that, are also the people who are perfectly competent at just doing it themselves. So, you know, they will always be happy to outsource certain subroutines or whatever, certain tasks that are relatively common and they can plug into their software. But for the most part, really hardcore computational physicists are going to have to write it themselves, or at least their team of grad students and postdocs and so forth will write it along with them.
Starting point is 02:09:00 So it's a given take. What the open source community would be useful for is people who almost never, write software, but those people also don't know how to take advantage of the open source community to find what they need. So, and maybe they don't need to. Like if they don't use the software that much, it's just easier to write the little bit themselves when they, when the need arises. Tarun asks, is, as a humian constructivist, does the criticism that this point of view leads to a form of moral relativism concern you? No, it does not concern me. I mean, there are actually moral relativists. It doesn't concern them either. I think that it doesn't, who cares, whether
Starting point is 02:09:42 it concerns you or not, is one way of stating my response to this. If it's true, you have to deal with it. I mean, the thing that I am most put, but the highest credence on is that there are no objective moral truths out there in the world. That I'm very pretty confident in. Again, not 100%, never 100% always willing to change my mind, but pretty confident in. Less confident in what we should do about it. I do think that there are ways of moral reasoning as a constructivist, and I can talk about, you know, why we reason in one way rather than another, et cetera, but I think that's the best we can do. There's just no choice. I don't take seriously the option of pretending that there are real moral strictures out there in the universe that I should
Starting point is 02:10:27 listen to just because I worry that someone else is not going to agree with my arguments for taking a certain moral stance or another one. Constructivists remember just take seriously the idea that we're human beings who are constructing our moral systems, and that's okay. That's all we have. So there's nothing that we should regret or feel bad about or be concerned about just because of that. It's just accepting the real world for what it is. L'Arent Delamere says, Is it possible to know how different our universe would be if physics were simpler, i.e. none of the complexity of quantum mechanics exists, only the classical physics and standard model of particles. Well, I think that you put the word simpler in quotes, which is a good
Starting point is 02:11:17 thing to do, but maybe you should be even more impressed with how ill-defined that is in a context like this. I don't think it's at all obvious. Maybe, in fact, it's obviously false to say that quantum mechanics is more complex than classical mechanics. It is less intuitive to us, and quantum mechanical structures lead to complex systems, but I'm not quite sure what the objective measurements of complexity or simplicity would be, according to which quantum mechanics is more complex than classical mechanics. Furthermore, and at more down to earth level, you cannot say only classical physics and the standard model of particle physics, because the standard model really, really, really needs quantum mechanics to make sense. You need quantum mechanics
Starting point is 02:12:01 to make sense of atoms, right? Without quantum mechanics, electrons would spiral into atomic nuclei and matter would be dramatically unstable. So there's no such thing as a model of the world that is essentially classical, but looks more or less like our world. The macroscopic world that we live in looks essentially classical, but we know that when we put a microscope on it, it begins to look quantum, and we don't know how to not do that. We don't know how to get a purely classical world. Unless you really just didn't have atoms and molecules, you just had fundamental substances, right? Steel and wood and water and air were all just separate fundamental substances with their different properties. That would be a possible world where you could be classical.
Starting point is 02:12:51 And I say that because that was the world. thought they lived in 200 years ago, right? But it's not a simpler world. It's a world where you have a lot of fundamental materials and substances. That's way more complex than the quantum world we think we live in. Andrew Goldstein says, it seems like the ultimate conundrum when we humans try to study our own psyche. How can we arrive at objective conclusions when we are both the subject and the observer? I've heard Richard Feynman was skeptical about the science of psychology and psychoanalysis. You know, I think that it's okay to be skeptical about psychology and psychoanalysis, but I mean, in a very short question, I feel like there's a lot to say here. One, there's a
Starting point is 02:13:33 huge difference between psychology, which is the study of human beings and how they think and things like that, versus psychoanalysis, which is one school of therapy founded by Sigmund Freud within the psychological tradition. So those are very different things. Two, you can be skeptical about the amount of progress that has been made in psychology because human beings are hard. They're complicated. It's difficult to study them. And we have, you know, a desire within academia to get surprising results and things like that. This leads to replication crises and so forth. So that doesn't mean we shouldn't do it or that it's impossible. It just means that it's hard and we should take that difficulty seriously. Third, who cares whether Richard Feynman was skeptical about it? I mean,
Starting point is 02:14:19 either there are reasons to be skeptical or not. I don't think that Feynman is a special expert on the reliability of psychology. So I wouldn't put a lot of weight on that thing. The final thing is you're pointing to a specific reason why you might be skeptical about the ability of psychology to make progress, namely that we are the subjects that we are studying, right? We are both the subject and the observer. And I think that that's absolutely something to take seriously and keep in mind, you know, we have intuitive feelings about how people act, how they think, and so forth, because we are people who act and think and so forth. And so we never come into this particular set of experiments without any opinions about what is going on. And that can get in the way.
Starting point is 02:15:06 There's no question about that. But guess what? We can also just study other human beings. We can look at what other human beings do. We can make hypotheses. We can test them against data. all that is possible. So I don't think it's any fundamental barrier, sort of epistemologically, to making sense in psychology. There's just a practical difficulty that human beings are kind of complicated. Astro Nobel says, is there any particular reason why we call neutrinos matter and antineutrinos antimatter? Or could they have been named the other way around just as well? There actually is a reason if you think about the decay of the neutron, okay, beta decay, as it's called, because it gives off a beta ray
Starting point is 02:15:47 back in the early days, and now we know it's just an electron. So a neutron is slightly heavier than a proton, and will decay after a few minutes, if it's left alone, into a proton, an electron, so the charges cancel out, but also an antineutrino. Those three particles, you need all of them, the experiments have verified that picture very well.
Starting point is 02:16:10 Why an anti-neutrino? Well, if you think about lepton number, the number of leptons in the universe. The number of leptons in the universe in every experiment that we've ever done is conserved. It's a constant. We have speculative ideas about how maybe it's not a constant in nature, dealing with the matter-antimetry and so forth, but we've never done an experiment where lepton number was not conserved. But that doesn't mean the total number of leptons plus anti-leptons. It means a total number of leptons minus the total number of anti-leptons is conserved. So when you have a, neutron, how many leptons do you have? Zero, because leptons are electrons and muons and neutrinos and so forth. The neutron is a barion, not a leptons. So you have zero leptons lying around. If you said that the neutron decayed into a proton, a neutron, a proton, an electron, and a neutrino, a real neutrino, not an antinitrino, then you would have that lepton zero initial state going to a lepton number two final state because you have an electron and a neutrino. So you violated lepton number.
Starting point is 02:17:19 Whereas if you say that I am saying it's an antineutrino with leptone number minus one that is created during neutron decay, then the number of leptons minus the number of anti-leptons is zero, both before and after. And you can keep that conservation law intact. Now there's reasons why there's that conservation law and there's interactions in electric week. model, et cetera, you can go through all that. Furthermore, you could just choose to to use intentionally dumb notation, right, to call what we call the anti-neutrino the neutrino and then just nevertheless assign it a different leptone number. But this way does make a lot of sense. There really are differences between neutrinos and antinitrinos in how they interact with other kinds of
Starting point is 02:18:06 particles. Casey Mahone says, the eternalist view of time makes perfect sense to me on an intellectual level, but I find that it betrays my intuitive sense of the world in such a deep way that I struggle to really believe it. This is also true of many things in physics, such as the branching of the wave function. Have you gotten to the point where you can effortlessly see these concepts playing out in the world around you and make them feel real? Or is it simply enough for them to fit together on an intellectual and conceptual level? I think that they mostly feel real to me. I'm not going to say that I have a complete intuitive grasp of various high-level concepts in physics and certainly not in mathematics, but I think that what we call our intuition changes.
Starting point is 02:18:49 We can train it over time. So the eternalist view of time, for example, I have no trouble at all thinking about it. It just makes perfect sense to me. I honestly do have trouble not thinking of time in an eternalist perspective. I have even trouble articulating what a non-Eternalist is trying to say. So I think there's a journey you come through. You start with some folk, naive, manifest image kind of picture of the world. You learn new things.
Starting point is 02:19:16 You struggle to internalize them. And at the end of the day, you think about them very differently so that you actually have trouble remembering what it was that you originally thought about things. Kyle Stevens says, the Sixers have again failed to make it out of the second round of the playoffs. I don't know why all you Patreon supporters are just riling me up about the Sixers like this. but I get that we're all in it together, so that's okay. Anyway, Kyle continues on. Subsequently, Doc Rivers has been fired and the team seems to be due for a shake-up.
Starting point is 02:19:47 The coaches for the Bucks and the Sons, two other playoff teams with championship aspirations who fell short this year, have also been fired. Coaches in today's age seem to have a very short leash. Do you think that this is the right approach to take in the quest for a championship? Well, I think this is a very hard question, actually. I'm glad that I don't have Darrell Morey's job. as president of basketball operations for the Philadelphia 76ers. Trying to judge the track record, the empirical success of a coach in team sports,
Starting point is 02:20:21 is just a really hard thing to do because guess what? The players matter more than the coach overall. And also crazy things matter, like random luck and, you know, various situations that you can find yourself in and not really be in control over. So there are coaches who have had good records and coaches who have had bad records, even though they are good coaches and bad coaches respectively. Nevertheless, it's your job as the general manager or the president to try to find the best coach for your team. You know, I think that there are absolutely situations where a coach can be kind of objectively good and yet have run their course for the team, right? You know, at some point the players start tuning out the coach, almost no matter how good.
Starting point is 02:21:06 good they are. Or maybe they're just not a good fit. In the case of the Sixers, you know, Darryl Morey, who is the boss, was hired after Doc Rivers was hired as the coach. So Mori did not hire Doc Rivers. So he has now managed to hire his own choice for the coach. And Darrell was always very, very supportive of Doc Rivers. And I would say that Doc Rivers gets a bad rap in Philly. I think he was a good coach, but I don't think he was great. I think, you know, the specific shortcomings he had kind of showed up year after year. So I think it made perfect sense to let him go as long as the owners want to keep paying him, you know, because he had a contract, so they have to keep paying him even though he's no longer employed. As far as the other teams,
Starting point is 02:21:51 the Bucks and the Sons, I really don't know. I was very surprised that Milwaukee Bucks fired their coach. I thought they had a lot of success, but, you know, people get impatient and likewise for the Sons. But maybe those people have inside scoop. Maybe the owners or the general manager of those teams knows something about the locker room or the practices or the strategies that were used on the court that I don't know about, right? So I simultaneously think that the implication of your question is probably true that there are owners and management structures that are too impatient and are not willing to. enough to let coaches work through some occasional rough patches. And I think that it makes sense
Starting point is 02:22:41 sometimes to fire your coach, even if you've been doing pretty well. So again, that's why I'm glad I don't have that job. Peter Blankenheim says, a few weeks ago, your guest Thomas Hurtog said that cosmic inflation created a universe in a fraction, a big universe, rather, in a fraction of a second. I've read elsewhere that at the end of the inflationary epoch, what is now our observable universe was about the size of a watermelon. If inflationary theory is correct, what is your best estimate for the size of our universe at the end of it? I think the important thing here is you really have to take seriously the distinction between the size of the universe and the size of what is now our observable universe, right? Because the universe, we have no idea how big it is.
Starting point is 02:23:21 It could be infinitely big for all we know. It could be some finite size. So the relevant thing is to not care about the size of the universe, but we can care about the relative. size of the universe at different moments in time. The important thing for inflation is it expands by a factor of something like E, the number E, to the power 60 or more. It could expand by much, much more than that. But we don't know. I've written papers about it. There are different people who have different thoughts about it and so forth. As far as our observable universe, on the other hand, yeah, when it was at very, very high energy scales, if you go backwards, so it has nothing to do with inflation. You just take the post-inflationary universe and you can ask how big was it when it was a
Starting point is 02:24:06 certain temperature, the observable universe today. And I think, I remember, I don't know, I haven't done this lately, but I think that our observable universe, if you push it all the way back to the plank scale, was something like a centimeter across. And of course, if you have inflation, the thing about inflation is we don't know that much about it, including when it ends and what the temperature was, but it might not be that much smaller than the plank energy. Therefore, it might be a little bit bigger than a centimeter. So watermelon size, that's completely reasonable. But honestly, we don't know for sure because we don't know when inflation ended even if inflation did happen. Jeff B. says, I'm very fascinated by the idea of affintasia, the inability to visualize
Starting point is 02:24:52 things in one's mind. I believe that my own ability to visualize is probably quite weak, but I'm able to do it. I tend to think more in words and impressions than in images. There is a test that is often given for visualization ability. You're asked to visualize an object in your mind, such as an apple. Then you'll be asked questions about the apple you visualized, such as its color or size. If you have a strong ability to visualize, then all of these details should be obvious to you without you needing to fill them in all after the fact.
Starting point is 02:25:19 Do you know where your ability to visualize may fall on the scale and how important do you find it to do, how important do you find it when doing work in physics? Yeah, I did, I took one of these tests a while ago, years ago, and I think that my ability to visualize is pretty high, although not super duper high. My artistic skills are nearly non-existent, so I can't visualize well enough to then reproduce anything with my hands, but I do have, if I think about an apple, an image of an apple that is more than just a cartoon image or something like that. So it's pretty good, not super duper great. How important is it to doing physics? I think not much, but I'm not sure, because of course, in physics we often deal with things that can't be visualized at all. And it's more important to understand the equations that generalize from simple cases, you know, the two-dimensional plane or whatever where you can visualize things to 10-dimensional space time or 10 to the 10 to the 1202-dimensional Hilbert space where you simply can't.
Starting point is 02:26:18 You just have to understand how to deal with the equations. On the other hand, there's absolutely cases in physics where visualization is helpful. I think that intuition is very, very helpful, but I think that different people have different kinds of intuition. Some kinds of intuition are going to be quite visual. Some are going to be quite symbolic. You know, I had a friend in grad school who, you know, thought of tensors as multilinear maps, which is the technical definition of tensors, but even, you know, just starting out, he had a much easier time thinking of a formula with little slots in it for various arguments,
Starting point is 02:26:50 rather than a picture, you know, that was his style of thinking of things. And whatever works for you is what I'm in favor of. Jim Murphy says, a few months ago I asked about whether you have any starstruck students or if other professors treat you differently due to being a public personality. You essentially said that you may view me as famous, but it largely goes unnoticed in my day-to-day life, which I think is true. Despite this, if I were to meet you, I would definitely be a little bit starstruck and nervous to say hello. Since you're the only famous person I have a chance to communicate with regularly,
Starting point is 02:27:19 I wanted to ask, how does it feel to have this starstruck power over other people, and how would you prefer a fan to approach you in public, if at all? I don't think it's really any power over people at all, to be perfectly honest, not trying to be falsely modest there. Some people are fans. I get that. That's great. I love it.
Starting point is 02:27:36 I appreciate it. And, you know, if someone sees me and recognize me and wants to just politely say hi and they like the podcast or the books or whatever, that's wonderful. I'm all in favor of it. If I'm in the middle of a conversation or having dinner or whatever, then don't stick around for too long. You know, let me get back on with my life. But I don't think, I just think it's ordinary politeness going on here. I don't think there's anything very special about it.
Starting point is 02:27:58 So I wouldn't, I wouldn't sweat it too much. Just be an ordinary, considerate, polite person, and you're fine. Tim Allman says, I've been reading Leonard Suskin's book, The Cosmic Landscape, which contains much discussion about the anthropic principle. He defines it as the principle that requires that the laws of nature be consistent with the existence of intelligent life. This statement seems to me to be devoid of predictive or explanatory power simply because the existence of a friendly universe does not imply that intelligent life must develop. I seem to be missing something.
Starting point is 02:28:27 Would you please comment on the anthropic principle and why some people take it seriously? Well, I have to confess, I think that Lenny's book, Leonard Suskin, former Minescape Guest, his book, The Cosmic Landscape, I was not a fan of that book, honestly. I think that he kind of dashed it off. It had that feeling about it. whereas his follow-up book to that, which was the Black Hole Wars, I think is one of the best books ever written about science, about physics at a high level for a broad audience. So he just wasn't inspired when he was writing the cosmic landscape. And I do think that these issues of the anthropic principle are precisely places where philosophy is useful and important.
Starting point is 02:29:05 And not every physicist takes it as important. And I think that therefore you get some sloppy statements about what it says. There's different versions of the anthropic principle. I think the most straightforward one is that it's a selection effect. If you have a situation where there are many different environments in the universe, then intelligent life will only arise in those regions where the conditions allow for the existence of intelligent life. That sounds tautological, but it's the conditional that is doing all the work here. If you have a universe with many different kinds of conditions from place to place,
Starting point is 02:29:42 You know, by the way, we do, in some sense, here in the solar system, conditions are very different on the surface of the Earth versus the interior of the sun versus interplanetary space, right? Guess what? Life has arisen in those regions here in the solar system, which are hospitable to the existence of life. Now, what does that get you? Why is that a useful thing to say? Well, it means that you shouldn't necessarily generalize from just what you see to the
Starting point is 02:30:11 rest of the whole picture. Back in the day, before people knew that planets were just like the Earth and the Sun was a star and things like that, you might very well have thought that most of the universe was hospitable to life, right? Most of the universe was kind of like the Earth that we live on. Now we know better. That was a mistake to have thought that because, of course, you're subject to the selection effect, that you are seeing the part of the universe that allows you to exist. If the universe... is just single, going now to the cosmic universe, so we have the multiverse with possibly different regions with different laws of physics and things like that, there's a comparison you want to do
Starting point is 02:30:53 between two different kinds of scenarios. One is that multiverse scenario, and one is just a single universe where things like the cosmological constant and other parameters of particle physics do allow for the existence of life. And the point is, it affects scientific practice in a very clear-cut way. If you knew there were a multiverse, where the cosmological constant took on different values from place to place, certainly you would not spend your time trying to think of a theory that predicted the value of the cosmological constant uniquely once and for all, because it wouldn't be right, because you know the cosmological constant is different in different places. But we don't know whether that's our universe or not. So there is still some motivation for looking for theories
Starting point is 02:31:36 we predict the cosmontal constant once and for all, because maybe there is only the cosmontal constant we observe, and we're trying to explain why. But we keep in mind that maybe that's not the explanation. Maybe the explanation is just, it takes on very different values from place to place, and the anthropic principle tells us we live in the part of the universe where it is small and allows for life to develop. Dennis Briggs says, I have your You Are Here t-shirt. It shows the low complexity with both low and high entropy. I cannot explain to curious observers that what may appear to be a contradiction.
Starting point is 02:32:08 You've said before is because of gravity or lack thereof. Could you expand yet again on that? So I don't think it's because of gravity, actually. The thing that is because of gravity is the statement that in our actual universe, the early universe looks both thermal, right, like a black body at a constant temperature and very smooth, and yet is low entropy. That, to explain those facts, to reconcile those facts, you need gravity. But the T-shirt you're talking about shows two graphs, one where entropy is just increasing with time,
Starting point is 02:32:39 and the other is complexity is first increasing and then decreasing. And that's going to be true whether or not gravity is involved. And by the way, it's not necessarily true. There are absolutely possible evolutions of the universe where complexity never evolves. Okay, sometimes with the right conditions, the right laws of physics, right dynamics, complexity can evolve, but it doesn't have to. So the general form of the curve where it goes up and goes down is going to be true, but maybe it goes up almost invisibly or maybe it goes up by a lot. Now, why is complexity low on the far left and the far right?
Starting point is 02:33:14 Well, think about what it means to be very low entropy. Think about a box of gas, right? Low entropy means that the gas is confined to some really tiny region. It's not taking up all the phase space that it could take up. And that means there just aren't a lot of states. Low entropy means there aren't a lot of states that you can be in. So there's not a lot of room for things to be complex. There's not a lot of specification of what's going on. Whereas at high entropy, then everything is an equilibrium, right? Everything is as smooth as it could possibly be when you're at high entropy. And that is also
Starting point is 02:33:47 not very complex. In order for complexity to exist, you need enough room to wiggle around, enough room for the things to arrange themselves in interesting ways without being completely smoothed out into high entropy equilibrium. So without knowing, as a matter of fact, how complexity does evolve in any particular system, we can say with pretty much confidence that in ultra-low entropy situations, it will be simple, and in ultra-high entropy situations, things will also be simple. Andrew Jaffe says, I enjoyed the Andy Clark episode. It got me thinking if the brain utilizes.
Starting point is 02:34:23 a predictive algorithm, to create our reality and presumably improve our survival, is it not also creating the sense of time passing? Psychedelics appear to break the brain's ability to utilize past experience to seamlessly produce a smooth, changing landscape while also altering one's sense of time. Does time then not exist outside of the mind? So I was with you right there until the end, Andrew. You have to distinguish between time and our experience of time, right? I mean, those are very related, but they're obviously very different things. When you're asleep, you're not experiencing time that much at all, if you're not dreaming or whatever, but time is still passing. After you're dead, time will still be passing, but you will not be experiencing
Starting point is 02:35:05 it. So time passes. Time is real. Time exists outside of the mind, but under what circumstances and exactly how, do we appreciate it passing? Do we experience it passing? Do we feel the passage of time. And I do think that it's a subtle question. I mean, ultimately the answer is because entropy is increasing, but that's always the beginning of the answer. That's not the end of the answer. Entropy is increasing and the particular way in which it is increasing leads to certain phenomena, whether it's mixing of cream into coffee or having a memory of the past or predicting the future. You know, the way I like to think about the passage of time is at any one moment of time, your brain carries with it images of the immediate past and the immediate future. The immediate past being its most recent memory,
Starting point is 02:35:53 what is just saw or heard out there in the universe, and the immediate future, it's predicting what's going to happen next. And it is constantly updating both of these. As more experiences come in, as you live in the world and breathe, et cetera, you're constantly making new predictions for what happens next, constantly updating your picture of what the universe was just like. And it's that constant sense of updating that gives us the sense of time flowing. Lewis B says, I have been really moved by your series of arguments on the physics of consciousness that makes the point that proponents of non-physical theories of consciousness really have to actually choose between their non-physical components either having no effect or interacting in a way that violates in profound ways the laws of physics in our brain. What I haven't heard is if you've heard any responses to this, are there any popular replies, any that you find interesting? short answer is no. I have not had any responses that I find interesting. Obviously, this kind of
Starting point is 02:36:49 argument that I make, it's not unique to me. Other people have made it. The thing that is slightly unusual or different about the way that I make it is really emphasizing the laws of physics side of things. You know, I want to not talk too much about the details of consciousness. I want to put the burden of proof where it lies. If you think you need to violate the laws of physics or change them or alter them or whatever, tell me exactly how. and tell me exactly how that's supposed to be compatible with these enormous amount of evidence that we have. And some people are very eager to open their minds to changing the laws of physics without doing the work, doing the homework of being very precise about how those changes should happen.
Starting point is 02:37:30 And I don't even mean write down the theory of everything that includes consciousness. I mean, at all, tell me how you are literally changing the laws of physics, rather than just saying, oh, I have a thing, a new picture of new kind of stuff. Tell me how that new kind of stuff interacts, or even not new stuff, but new properties or new origins or new natures. Tell me how it changes the ordinary behavior predicted by physics. And people don't do that. So, you know, I'm going to keep talking about it.
Starting point is 02:37:59 Philip Goff and I are having a little debate in September. Hopefully it will be recorded and put online, and maybe that will spread the word a little bit more. You know, it's one thing to have ideas and to put them out there is another thing to get people to listen to them, right? I'm not a consciousness expert, so I'm not the first person people turn to in that regime. But my paper on consciousness and the laws of physics was published. People have read it. So hopefully it'll have some impact. Stephen Lord says from Andy, my seven-year-old, who listens to your podcast with rapt attention.
Starting point is 02:38:33 Hi, Andy. How's it going? The quote is, what if the multiverse contains green? groups of universes that share the same laws of physics, but whose evolution differs. What possible differences could there be between universes within the same group? Yeah, that is absolutely 100% possible. In fact, it's easier, right? Maybe different regions of space-time that we are attempted to label as different universes
Starting point is 02:38:57 have different local laws of physics. Maybe they don't. That's not something that we really know, for sure. But it's very easy to imagine different regions of the universe with the same. same laws of physics, but slightly different initial conditions, especially because we think, you know, the leading candidate for the origin of the fluctuations and the perturbations in the early universe that led to galaxies and stars and all the large-scale structure in the universe eventually evolving was a fundamentally quantum fluctuation-driven process. So when you look at the
Starting point is 02:39:34 pattern of galaxies spread across the sky, as seen some galaxy, survey or something like that, the idea is that that's a particular observation of a quantum fluctuating initial condition. And if you believe many worlds version of quantum mechanics, that means that there are many, many other branches of the wave function where the galaxies are in different places. So I think that the physics being the same means that the evolution from roughly similar initial conditions will be roughly the same. You know, the number of galaxies, the type of galaxies, the type of stars will all be statistical. the same, but the specific examples of which stars and galaxies there are could, of course,
Starting point is 02:40:13 be very different. Not to mention things like the evolution of life could be very, very different, because that maybe depends on some details. We don't really know yet. Lewis McCarton asks a priority question, saying, in special relativity, there's no objective notion of now. There's no fact of the matter about distant simultaneity. If this is true, how do we think about distant observers?
Starting point is 02:40:35 If my buddy is on Alpha Centauri, how do I think about their, conscious experience. Does the relativity of simultaneity change anything about this? Does it impact how we should think of each other? Or do I just regard them as conscious like normal? They move through their world line, through their perspective, and I do the same. Yeah, the latter. It's completely normal. Like living on Alpha Centauri, you wouldn't, if there was a nice Earth-like planet around Alpha Centauri, you wouldn't feel anything different because you're four light years away from the Earth, right? From their perspective, everything is completely normal. The only new thing in special relativity, where, like you say, there is no objective notion of now is there is no
Starting point is 02:41:12 objective notion of now. So there is a set of experiences experienced by your friend on the planet around Alba Centauri. It's just that none of them, none of those moments in their lifespan, correspond to something you can identify as what's going on now. So their life is completely normal, but you have to think of the four-dimensional span of their life. This is why eternalism, This is one of the reasons, the big reason, why eternalism, the idea that all moments in time are created equal are equally real, both past, present and future, became much more popular after relativity came along, because you can't even define what you mean by this present that is supposed to be special and existent. There's no such thing as the present moment stretching throughout the universe. Individual people at every moment call that moment now, but they're going to keep calling it now. A year from now, they'll still say, yes, this is now.
Starting point is 02:42:06 So you just have to get used to not attributing nowness to people who are very far away. Paul Hess says, my son and his friend in advanced 10th grade chemistry class posed this question to their teacher who was dumped. Can you help? In quantum physics, when a photon with a precise energy required to transition an electron from the n equals one shell to the n equals two shell interacts with a neon atom where the n equals two shell is already fully occupied, what would be the expression? outcome. Considering the principles of quantum mechanics, particularly the Pali Exclusion principle, would the electron in the n-equals 1 shell still be able to absorb this photon and attempt to transition to the n-equals 2 shell, if not what alternative interactions might occur? So just to sort of rephrase what the
Starting point is 02:42:54 question is going on here, you have the Pauley exclusion principle, which says that is only one quantum, one particle, one fermionic particle like an electron, allowed per quantum state. And so you have shells around atoms, and maybe all those shells are filled up with electrons. So there's no more electrons you can put there. And you can have a situation where you could have had an electron transition from one shell to the other, because it was hit by a photon and it bounced upward. But if the new shell that it wants to go to is full, what happens? The answer is, it doesn't go there. It doesn't matter that a photon passes by. In quantum mechanics, what you're going to do is you are going to calculate the probability that that photon interacts
Starting point is 02:43:37 with the electron in such a way as to send it to some new state. And if all the new states that it might want to go to are full, then you calculate that probability and it turns out to be zero. And that's fine. You know, there are such a thing as photons passing by atoms not interacting with them at all. That's what would happen in this case. QBit says, let's assume that I have the wave function of the universe and I want the device
Starting point is 02:44:01 it up into different summans, each of which corresponds to a different world and cannot interact with any other summans. I think we would ordinarily say components or branches, but I get what you're talking about. I believe there are many possible ways to do that. How do I know the correct way which actually corresponds to the real worlds that I could potentially experience? Is it also possible to derive this correct way of splitting from the Schrodinger equation, or do we have to add it from the outside as an additional postulate? Well, you can't, you're right that once you have a vector. I mean, forget about Hilbert space and complicated things. Think about a vector, okay? I can put a vector in a vector space just a two-dimensional vector. I can have X and Y
Starting point is 02:44:40 coordinates, and I can talk about the X component of that vector and the Y component of that vector. But I can also rotate my coordinate system and have X prime and Y prime coordinates, and with the original vector, I can now talk about the X prime component and the Y prime component, and when I have many, many, many, many more dimensions, there's correspondingly a lot of more ways to do that. So the math itself, just in the Hilbert space description or the Schrodinger equation, does not tell you how to divide the wave function up into worlds. And this is called the preferred basis problem in quantum mechanics. But we kind of know how to solve it, and the answer is something called pointer states and decoherence. So you know that decoherence
Starting point is 02:45:23 happens when some quantum system becomes entangled with its broader environment. And the question is why, I mean, think of it in terms of Schrodinger's cat, okay? Schrodinger's cat is in a superposition of awake and asleep. You open the box, you always see it either awake or asleep. And as far as the quantum mechanical description of the cat goes, there is absolutely a possible basis for the cat's wave function, which is 1 over the square root of 2 cat awake plus cat asleep. That's one basis vector.
Starting point is 02:45:55 And the other basis vector is 1 over square of 2, cat awake minus cat asleep. Okay, those are two good basis vectors, just as awake and asleep individually are good basis vectors. But when we open the box, we never see the cat in a state of 1 over squared of 2 awake plus a sleep or minus asleep. We see either awake or asleep all by itself. Why? Because those are the pointer states. Those are the states that are robust under being monitored by the environment. Think about it this way. If the cat was in a superposition of two different macroscopic positions, immediately it would be
Starting point is 02:46:29 more entangled with the environment because the photons in the box would hit the cat differently, depending on whether it was in one position or another. It's only when you're in the pointer state, which is sort of a macroscopically coherent ensemble, like a cat that is awake or a cat that is asleep. Then the photons in the box interact with the cat, they get absorbed by it or they reflect off it or what have you, but they don't entangle with it, as we already talked about earlier in the AMA, because they don't interact with it differently, depending on different parts of its wave function. So there is a whole discourse. Vojek-Zurek is the guy who his name is generally associated with this,
Starting point is 02:47:09 understanding why we see certain pointer states in the world and we don't. It's not from the Schrodinger equation. It's from this additional requirement that we sort of form a coherent classical thing that does not keep entangling with the rest of the world. Mark Schoerne says, do you see chat GPT and other AI tools as being useful in your work, perhaps either for research or for teaching? Yeah, I think they will absolutely be useful. I mean, for research, it's very easy to sort of use it as a search engine, right?
Starting point is 02:47:42 You just have to be super duper careful because it will lie to you. But you should always be super duper careful because anyone can lie to you. Wikipedia can lie to you, Google can lie to you, et cetera. But if I say, like, you know, I just have forgotten what is the, the notation that people usually use for this constant, right? I can ask chat GPT, and it will tell me, and then I will either go, oh, yeah, I knew that, or I could double check it by looking somewhere else, right? So that's very useful in a very straightforward way. Also, you can use it for programming, right? You can use GPT tools to help you write computer programs. I found that
Starting point is 02:48:15 very useful. For teaching, I haven't been teaching since the revolution happened, so I'll be doing that in the fall for the first time. And I think the right strategy is just to lean in, like not to pretend that you can force your students not to use it, right? Students are going to use these tools to write papers. So I've seen various ideas about what to do. For example, you can assign an assignment rather than saying write a paper on this topic. You can say, let chat GPT write a paper on this topic and then critique it. And the critique is what you're graded on because chat GPT is not very insightful. It really, you know, it is very much like a student sort of just core dumping a whole bunch of sentences that sound good in the hopes that one of them
Starting point is 02:48:59 is the magic one that the professor will give a good grade to, right? So hopefully you can train your students to do better than the current generation of AIs are able to do. Max says, do you have any advice for meeting people from other academic disciplines at Caltech or just in general? I'll be starting my physics PhD there this fall, but I'm coming from a large state school where I was able to make friends who studied philosophy, art history, etc. I want to try my best. to stay well-rounded, any tips. I don't think there are any specific tips about Caltech or anything like that. I think that it's almost all in your attitude, right?
Starting point is 02:49:35 Like the very fact that you want to do it is the most important thing. You can go to seminars in other departments. And, you know, if you see people over and over again, you can strike up conversations. You can go to classes taught by people, you know, can sit in on a philosophy class or whatever. I don't know where people live in grad school at Caltech. I mean, typically what I did when I was a grad student was lived in the dorms in the first year and then moved into an apartment after that. And I've met people in the dorms.
Starting point is 02:50:05 And I made friends with them for a very long time. So I think it's just up to you. Grad school is hard. Grad school is a lot of work. You certainly will hang out with people who are in your department because they're going to be the ones who are helping you and commiserating with you. you along the way, but I think that your life will be richer if you go outside a little bit. I mean, Caltech as a particular place is less amenable to that than most places.
Starting point is 02:50:33 Caltech is about getting your work done, not about stretching yourself outside of your discipline, but if you want to do it, you absolutely can. Nalita S says, do you personally believe that we are both a physical system and a spirit or just a physical system. If the first, then how do those two systems communicate the way they do? If the second, then how does a physical system alone give rise to a spirit? Good. You know, this is the kind of thing that I have thought about, and I have a very strong opinion, that it's the latter. We are a physical system. And any temptation you might want to talk about us in terms of a soul or a spirit or anything like that is just a slightly loosey-goosey way of talking about emerging properties of that
Starting point is 02:51:14 physical system. I won't go in the details because I did write a book where I went to integrate details. That's the big picture. So not the biggest ideas. That's a different book. But in the big picture, I talk exactly about this issue. And I bring up the example of Princess Elizabeth of Bohemia, who was a brilliant thinker back in the day of Descartes. And she corresponded with Descartes and gave him a hard time about exactly the idea that he had, that we are both a physical system and a mental system, both the body and a mind separately. And Elizabeth pointed out how difficult that is. in practice to really pull it off. It goes back to the question we were just answering a little bit ago, how in the world
Starting point is 02:51:54 could non-physical things interact with physical things? Maybe they could, but tell me exactly how they're going to do it, and no one is actually able to tell me that. Chris Gunter says, can you help me understand a question on black holes and time reversibility? For a normal, irreversible event, like a glass shattering on the ground, the bound-up energies dissipate into sound and motion and heat. We could imagine precisely that same form of energy conspiring to arrive at just the right moment to reinvigorate the glass and put it back on the table. Not impossible, just discountably unlikely.
Starting point is 02:52:26 Can such a thing be true for a book falling into a black hole? Can some conspiracy-minded forces arrive at just the right time to let us see the books simultaneously arise from the event horizon? This gets described as impossible in popular literature, not merely unlikely. Do we need hawking radiation to make this happen? Well, you could have hawking radiation spit out a book. It's super duper unlikely, but there's a probability that's going to happen and you could calculate the probability. But that wouldn't be what you're thinking of. The issue is that in a black hole, as you make the black hole, there is already a time orientation to the event horizon. The outside of the black hole is in the past of the event horizon, and the future of the black hole is in the future. So it's not like a glass hole. shattering on the ground. There really is a boundary, a barrier that separates the past from the future in the black hole. What you can do is imagine time reversing the whole shebang, and then you get a white hole. And a white hole is also an event horizon where the interior is in the past and
Starting point is 02:53:30 the exterior is in the future, and it would spit things out. Would those things being spit out be very, very low entropy, et cetera? That is harder to say, because in the real world there aren't any white holes out there. But, you know, the Big Bang is kind of like that. The Big Bang is a low entropy singularity in the past. So there's some commonalities there. But I think that the short answer to what you're asking is that the very idea of a black hole is by itself irreversible. Nick B says, how differently would an intelligent alien perceive the universe and what effect would that have on their physics? I really enjoyed your conversation with Thomas Hurtog, especially the section where he talked about
Starting point is 02:54:13 moving from a God's eye view to a worm's eye view. The idea that any perspective of cosmology depend on who's looking got me thinking about an alien's eye view in your session with Arik Kirchenbaum. How different could an alien physics or cosmological theory be given that they are looking at the same universe
Starting point is 02:54:30 but perceiving it very differently, eyes that see a very different frequency of light or so forth? Well, I don't know is the short answer because I'm not an alien, I've never met any to talk to them. I do have a suspicion. I mean, of course, aliens could be very, very different than we are. They could have very different senses, not just Arikirchenbound, but also the conversation with Ed Yong is about how the censorium of different species right here on Earth are actually very, very different from one to the other. But at the same time, those censoria are putting us in touch with the same external reality, right? I am perceiving a desk right in front of me, on which my computer and my microphone are on, no sensible alien would deny the existence of this desk just because they have different sensory apparatuses.
Starting point is 02:55:21 So my strong suspicion is that the central pieces of physics as developed by aliens are going to be the same as the central pieces of physics developed by us. Could be wrong about that, like I said, but I do think that, you know, it's important to recognize that the ways aliens work could be very different, but we still live in the same universe with the same underlying physical things happening.
Starting point is 02:55:46 Maxine says, I need help reconciling something based on my naive understanding of quantum mechanics. Specifically, what intuitively prevents the uncertainty principle from allowing a particle to travel faster than light? My understanding is that if we observe the position of a particle more and more precisely, the velocity becomes more and more uncertain. If we measure the position approaching exactly in principle, what prevents the particle from traveling outside of the light cone
Starting point is 02:56:10 in the next instant. Well, you know, it's, there are details here, okay? I hate to say it, but sometimes the description of things like the uncertainty principle in words don't quite measure up to what you need here. I mean, it's not actually position in velocity that are limited by the uncertainty principle. It's position in momentum, okay? And you can get momentum to be bigger and bigger and bigger without ever going faster than the speed of light.
Starting point is 02:56:37 In relativity, momentum approaches infinity as you approach the speed of light. So there's no reason just to say I'm going to measure the position so accurately that I have to include velocities greater than light. All you have to do is include momentum that are very, very big in your uncertainty. And you can do that. So there's no problem there with violating the speed of light. But the other thing to do just because I have the opportunity to do it is to say, as I like to say, and I will go on about at some length in volume 2 of the biggest ideas in the universe, the uncertainty principle should not be interpreted as saying that if you observe the position
Starting point is 02:57:18 of a particle, the velocity becomes more and more uncertain. Ultimately, the uncertainty principle is not about observations, and ultimately, there's no such thing as the position or the velocity or the momentum of the particle. Those are possible observational outcomes. Those are not things that exist when you're not observing it. The better way to think about the uncertainty principle is there are wave functions, there are quantum states, and they have predicted spreads or uncertainties or standard deviations in the possible measurement outcomes for momentum and for position.
Starting point is 02:57:56 And there is no wave function for which the possible measurement outcome are simultaneously zero in both position and momentum at the same time. That's one way of thinking about the uncertainty principle. There are other ways of thinking about it, but that's the basic idea. The Great Deceiver asks a priority question, saying, given your excellent communication skills, I'm super curious to know if you are familiar with or have taken any courses in general semantics. General semantics is defined as concerned with how events translate to perceptions,
Starting point is 02:58:28 how they are further modified by the names and labels we applied to them, and how we might gain a measure of control over our cognitive, emotional, and behavioral responses. Frankly, I believe that the limits of language lie at the heart of many problems in physics and philosophy. So I've heard of general semantics, but no, I've not taken any courses, read any books in it, or anything like that. I do think that both physicists and philosophers have their own techniques for trying to get things right, as far as definitions and meanings and semantics is generally concerned. I'm very happy to imagine that they fail, that they don't do a good job in particular specific circumstances, but I don't want to, you know, tar them with a brush of failing in some general way.
Starting point is 02:59:10 I think you need to be careful about what exact questions you're talking about there. Darren Rogers says, how would we ever know if we arrived at a brute fact? What is the difference between a brute fact and something that we can't yet figure out an explanation for? Well, a brute fact is one where there is no explanation. That's the difference. The important question you asked is the first one. How would we ever know if we arrived at a brute fact? And the answer is we wouldn't.
Starting point is 02:59:36 That's okay. You know, we never know lots of things. We never know for certain if our theories of physics are correct, right? We do the best we can. We try to understand the universe. We say, you know, all right, here's my best current idea, the law of gravity or whatever it is. Likewise, I say my current best understanding is that the following thing is that the
Starting point is 02:59:54 following thing is a brute fact, but maybe it's not, maybe we can keep looking. Good, you can keep looking. The only thing to keep in mind is it might be a brute fact. I can't promise you that this or this, this or that fact about the universe is brute, has no further deeper explanation, but that doesn't mean that I can't believe that it could be, that I must be driven to find some deeper explanation. I have to keep in mind the possibility that no such deeper explanation exists. Okay, the last question for today comes from David Dubrow, who says a previous AMA question about living a thousand years made me think about the possible limits of our episodic memory. If our sense of identity is dependent on our episodic memories and we lived many hundreds of years, would we lose so much of our episodic memories from when we were younger that we would not be anything close to the same person we were in previous centuries? Well, the honest answer here is, I don't know, because again, just like I've never met.
Starting point is 03:00:52 aliens, I have also not lived for hundreds of years or thousands of years or whatever. It does seem very plausible to me. In fact, I would be shocked if someone thought that you could live for thousands of years and not be a very different person. I mean, I'm a pretty different person than I was when I was 10 years old, which is, believe me, not hundreds of years ago. It's a while ago. So I would like to think that it's very natural if you live for hundreds of years further, you would turn into a different person. Part of it would be. be that your memories would be different. Of course, if we actually get technology to extend our lifespans that long, we might also have technology to improve our memories, right?
Starting point is 03:01:34 And maybe that's not just improving our brains. Maybe that's, as Andy Clark talked about with the extended mind hypothesis, maybe that's offloading some memories to our hard drive or something like that, right? Very plausible in the far future where we're imagining living for thousands of years. So I think it's going to be interesting because, you know, we have so much intuition, so much fielding for what it means to be human, to be a person, to be a self, that has been trained over all of human history. And now we are on the cusp of changing those things in dramatic, interesting ways, right? Through technology and brain computer interfaces like we talked with Nita Parahani about. but also possibly longevity, gene editing, things like that, all sorts of biological advances that we haven't even yet foreseen. So it's going to be very, very interesting how people
Starting point is 03:02:30 want to hold on to what we used to be and how we adapt to what we're going to become. It's very fun to think about, very hard to get it right. I think that the goal is less to try to figure out what actually things will be like and to try to rather scope out the space of possibilities so that we are aware of whatever might happen next and maybe we plan for it just a little bit. That's all we got for this month. Thanks for tuning in. Thanks as always for your support of the Minescape podcast. Bye-bye.
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