Daniel and Kelly’s Extraordinary Universe - Listener Questions 55: Time and waves!
Episode Date: May 7, 2024Daniel and Jorge answer questions from listeners like you. Get your questions answered: questions@danielandjorge.comSee omnystudio.com/listener for privacy information....
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Hey, Daniel, do you think going to space
will make you older or younger.
I think it's going to be a rough trip,
so you'll probably come back feeling pretty worn down and older.
Yeah, but it's probably pretty exhilarating,
so wouldn't you come back younger in spirit?
I mean, you might feel wiser,
which is just going to make you feel older.
Wiser is good.
But what does physics say?
What does relativity say?
If you go to space,
are you going to get older or younger?
Physics says you're going to be a tiny bit younger,
probably not enough to compensate for the decades of wear and tear.
But you're in space,
floating, what wears you down? The danger of dying at any moment, perhaps? But that's the same
here on Earth. The lack of gravity, the intense radiation, and yes, the danger of dying,
which is much higher up in space. But if you can gain a second, I mean, isn't time priceless? It's all
we have. You gain one second and you lose 10 years. But what of you?
Hi, I'm Jorge, I'm a cartoonist and the author of Oliver's Great Big Universe.
Hi, I'm Daniel. I'm a particle physicist and a professor at UC Irvine, and I'm going to enjoy every second of life here on Earth.
Yeah, presumably, hopefully. Even these seconds where we are recording this podcast.
Oh, these are some of my favorite seconds, absolutely.
Wouldn't you rather be, like, floating off an island in the Pacific?
drinking some drinks.
I mean, this is really cool, but how does that compare
sitting in a private island?
That would be so selfish, you know, just thinking about my needs.
We're here to talk about physics with everybody
and help everybody understand the universe better.
That's so much more valuable.
Well, actually, I am sitting in a pool
in my private island right now recording this,
so I think that means I win.
Is your garage a private island or is it just like a mental island?
I'm not even in my garage, actually.
I am floating around somehow.
You're floating in cyberspace.
But anyways, welcome to our podcast, Daniel and Jorge,
explain the universe, a production of IHeartRadio.
In which we float your brain through an ocean of crazy physics ideas.
We try to take you to the private island of understanding,
hoping to marinate your brain in these ideas
and percolate some of them down into your consciousness.
We think that the deepest questions in the universe,
how it started, how big is it, how it all?
All works are things that can be understood and deserve to be understood, or at the very least, we can explain to you what we do and do not yet understand.
That's right, because it is an amazing universe, and we like to take your sense of wonder on a vacation sight seen through the universe and the cosmos looking at things that are already understood by humankind and things that are still a huge mystery.
Because science is a never-ending list of questions.
We're always going to be curious about the way the world works and why it is the way that it is.
and it's those questions that power science.
Questions asked by people working in the very forefront of human knowledge
and questions asked by everybody,
looking up at the night sky or looking down between their toes,
wanting to understand how everything works.
Don't you ever want to take a vacation, Daniel, from asking questions?
Where I guess this podcast is sort of your vacation,
because you're answering questions.
Vacations are just more questions.
Where should we go?
How should we organize it?
How should we get there?
What should we eat tonight?
There's no end of questions.
What should we not do?
That's my favorite question on a vacation.
But yeah, the universe is full of questions, things we can ask about it,
thinks we can wonder about it, things we can try to find the answers to.
And sometimes on the podcast, we like to answer these questions.
If you have questions about the nature, the universe, how things work,
or if ideas aren't just not clicking in your mind right to us,
we would love to help you understand it.
We answer all of our emails to questions at danielanhorpe.com.
And sometimes I get a question and I think,
Ooh, I bet other people want to hear the answer to this,
or I want to hear what Jorge has to think or joke about this topic.
So then we answer them here on the podcast.
So today on the program, we'll be tackling.
Listener questions.
Number 55.
55 doesn't seem like a very big number,
but we are pretty deep into our production run.
55 is a pretty big number.
There are lots of podcasts out there.
they don't even have 55 episodes.
55 is a new 75.
Time to take a vacation.
But yeah, we like to answer listener questions.
And so we have three great questions here about space travel,
but the nature of light,
and about quasi-particles, not queasy particles.
Those are particularly uneasy.
We will not be talking about burp-ons today.
Yeah, or barf-ons.
But yeah, we have three awesome questions.
And so let's dive into our first one.
This one comes from Dan.
I'm Dan, and I have a question about space travel and time.
If we're able to send a spaceship to Mars and back,
wouldn't the astronauts be different age than the rest of us when they returned?
And would the difference be caused by how fast they traveled or how long they were gone?
Interesting question from Dan.
I guess the main thing is that a lot of people maybe associate space travel with differences in time,
like the famous twin paradox.
Yeah, it sounds like Dan is planning a vacation to Mars
and he's wondering how many shirts he's got to pack.
How long will that trip be for him?
Yeah, I guess if he's not aging, he won't need his many shirts?
Or he doesn't need to go to that rejuvenating spa on Mars?
Or maybe he's wondering about renting his place out while he's gone.
If he's gone for one year, does he need to Airbnb for two years?
Or how does that all work?
It's confusing here on Earth if you're changing time zones.
That's right, exactly.
But Dan is right to worry about this because clocks do run differently out in space and on space travel, but for two reasons, both of which will affect the answer.
Interesting. There are multiple factors here that the universe throws at you.
Yeah. There's two different ways that time can flow differently. One is based on relative velocity, moving clocks run slow.
And the other is an absolute one. It's just based on space curvature. When space is bent, time is also bent. So clocks tend to run more.
slowly when space is more curved.
These are two separate effects with different causes and importantly different behaviors,
but both of them will cause clocks to run more slowly.
Meaning that time depends not just on how fast you're moving,
which is maybe the one people are more familiar with,
but also just how close you are to heavy things,
things that bend space and time,
including the Earth.
Including the Earth and including the Sun.
This is why, for example, if somebody is near a black hole,
distant observers will see their time running super,
super duper slowly, not because they're moving at some high speed, but just because they are in place
of high curvature.
They are near a big, massive object.
And time will run more slowly.
That's called gravitational time dilation.
So there's velocity-based time dilation and gravitational time dilation.
Well, so then when you're leaving Earth, you're basically experiencing both at different degrees
and at different times, right?
Because you're leaving the Earth, which has a gravitational field, but you're also going potentially,
really fast out there in space.
Yeah, exactly.
And so it depends a little bit on the details,
but we can do some approximate calculations
to give Dan a rough answer.
All right.
Well, let's start with, I guess,
the first factor, velocity.
How fast do you think Dan is going to Mars?
This is a good question.
It depends a lot on what you assume.
But I thought, let's crank it to the extreme.
Let's think about, like,
the fastest possible trip you could make to Mars
to have the most dramatic impact on time.
Meaning, like, to calculate the speed,
we're just going to draw a straight line,
from here to Mars.
Yeah, we're also going to assume that we have a super heavy duty engines and excellent power
because you could get to Mars really slowly.
Like you could go to Mars at like walking speed.
It would take you a zillion years and you'd have no time dilation effects.
Or you can get to Mars super duper fast if you have really powerful engines that push you up above
a tiny fraction of the speed of light, then you'd have more time dilation effects.
So the time dilation effects depend on your top speed in the journey,
which depends a little bit on the technology you have to get to that top speed.
But in reality, I guess when we send things to Mars, they usually take this a roundabout way, right?
Like you try to use orbital dynamics and you try to use maybe the gravity of other planets to assist you and push you along.
And so it takes a while.
But even though you're going pretty fast.
Yeah, it takes a while.
It can take like six months to get to Mars.
And you are going pretty fast relative to like the speed of a Lamborghini on Earth.
But you're not going very fast relative to the speed of light.
And that's the issue.
The speed of light is crazy, super duper fast.
And to see real time dilation effects, you guys.
going to get somewhere near the speed of light, and that's pretty challenging.
So I thought, how fast can we get to Mars to maximize this effect?
I see.
You thought that was not an interesting answer, so you thought, let's crank it up.
Yeah, let's crank it up.
Let's crank it up and make it more fun.
Yeah.
Let's assume Elon Musk or somebody else develops like a really powerful engine, one that uses
like antimatter fuel, that uses like antiprotons or anti-electrons that totally annihilate
perfectly efficiently into energy and can pour that directly into the acceleration
of your spacecraft.
It doesn't have to be an antimatter engine.
It just has to be a powerful engine, right?
It just has to be a powerful engine,
but you want an efficient fuel source
so that you minimize the amount of fuel
you have to bring along
so the fuel is mostly pushing the spaceship
and not the other fuel.
I feel like you're worrying about
real life consequences
in an imaginary scenario.
Like, I guess maybe you calculated
the distance to Mars.
What's that distance?
At the closest approach,
the Earth to Mars distance
is about half of the Earth to Sun distance.
So it's like 45 million miles.
So we have a distance.
And so how did you calculate how fast do we need to go to get there in a reasonable scenario?
Well, I imagine that we could build an engine out of antimatter.
And I thought what are the practical limitations for launching that kind of ship,
how much engine power could it produce?
And, you know, if you spent like a few years generating antimatter,
you'd have enough engine power at launch that's like more than a thousand times
the electrical power output of the United States.
which would require like five tons or so of antimatter, which is totally unrealistic.
But if you did that, then you would be able to get to Mars in just a couple of days.
Like that kind of super powerful engine would get you up to like a third of 1% of the speed of light
for a pretty zippy trip to Mars.
Would that run into like acceleration limits?
Like our bodies can only tolerate so many Gs.
That's right.
Humans can only tolerate about eight to 10 Gs and even that's pretty extreme.
So I was assuming we have like super robust astronauts that can tolerate about 8 to 10 Gs.
Okay, so then you calculated the trip for Dan and you get up to about 0.028 C's.
Yeah, exactly.
And that's at the halfway point because you've got to speed up and then you're going to turn around and slow down so that when you get to Mars,
you're not just zipping by it at half a percent of the speed of light because that's kind of beside the point.
So there's top speed is at the halfway point.
Now, this is a very small percentage of the speed of light, less than a third of a percent.
So I'm guessing maybe time didn't move that much slower for Dan because of the speed.
Yeah, exactly.
And relativity is very non-linear.
So if you're still at very low velocities, there's basically no effect.
The effect gets stronger as you get closer to the speed of light.
As you get very close to the speed of light, it gets much more dramatic.
So when you're going at this pretty respectable speed compared to Lamborghinians on Earth,
but still very, very slow compared to photons.
How fast are we going relative to a Lamborghini?
Yeah, so that's about 840,000 meters per second, which is something like 1.8 million miles per hour.
So a lot faster than a Lamborghini.
Yeah, by a large amount.
But even though you're going over a million miles per hour, the time dilation is not that much.
The time dilation factor is 1.00004, meaning like every million seconds, somebody traveling
at that speed experiences four seconds fewer at the peak speed at the peak speed yeah but dan is not
going at the peak speed the whole time so like if he goes there and back how much time is a younger
relative to his twin who is born at the same time here on earth and that didn't go if he goes there
in 48 hours and back in 48 hours that's like roughly 100 hours which is not even a million
seconds so the difference is going to be less than a second overall but he's also had to accelerate up to
speed and decelerate down to zero so it's probably even less than that maybe maybe like a tenth of
that yeah it's going to be less than a second for sure so dan is going to uh go to mars come back he's
going to be at eight to ten gs the whole time and he'll only be younger by about less than a second
yeah less than a second exactly that's only considering the velocity effects right right like
starting from orbit or something exactly that's not considering the gravitational time dilation
All right. Well, let's get into that. What are the gravitational effects of time due to gravity?
So there's two effects here to think about. One is that you're leaving Earth's gravity and time passes more slowly when you're close to Earth gravity.
We know this because like satellites in orbit that keep our GPS systems in sync, their clocks run faster than clocks on Earth.
This is something we've measured. So we know this very, very well.
They've measured this with mountains too, right? Like you can tell the difference between someone at the bottom of a mountain and a clock run.
at the top of the mountain.
Yeah, exactly.
They have atomic clocks that are like two meters apart in altitude and they can tell the difference
in how they run.
It's very, very precise.
It's super awesome.
Yeah, which means like your feet are moving through time slower than your head if you're
standing up.
Yes, but the size of this effect is tiny.
Like time passes on Earth more slowly than out in deep space by like 0.7 parts per billion.
That means in a billion seconds, time on Earth will have ticked by 0.7 seconds more slowly.
So if Dan just went up to orbit, Earth orbit, we would be a little bit younger, but not by much.
Like a half a part per billion.
Yeah, exactly.
A billion seconds is like 32 years.
So if you spend 32 years like in deep, deep orbit, then your clock will have run faster by one second.
So it's a very negligible effect.
It's not, I don't know, if it's negligible, you can measure it with very precise devices, but it's real.
And the interesting thing is that Mars has lower gravity than Earth, right?
It's a smaller planet.
So on the surface, the gravity is not.
as intense. And so this same effect on Earth that's like 0.7 parts per billion is only 0.14
parts per billion on Mars. So if you go to Mars and spend a lot of time there, your clock will
run faster than clocks on Earth because you're not as deep in a gravity well.
Well, you're aging faster in Mars.
You're aging faster on Mars, exactly. But that's actually not even the biggest gravitational
effect. Mars is further away from the Sun. So the Sun's gravity is weaker at Mars.
than it is on Earth.
And this is actually a bigger effect
than the difference between Earth and Mars.
Sun's gravity causes a seven parts per billion effect on Mars
and a 10 parts per billion effect on Earth.
Meaning from the Sun's gravity, you're aging faster in Mars also.
Yeah, that's right.
You're aging faster on Mars because its gravity is weaker
and because you're further from the Sun's gravity.
Overall, this effect is like six parts per billion on Mars.
Okay, so then what's the grand total for?
And it seems like he's going to gain a little bit of time due to velocity going to Mars and back,
but he's going to lose a little bit of time by being further away from the sun
and by being around a planet that's smaller.
What's the grand total?
Well, it depends on how much time he spends there, right?
If he just goes there and back, there's basically no effect from gravitational curvature.
But if he goes there and lives there for like a thousand years,
then he's going to accumulate some effect from the curvature.
So it depends on how much time he spends there on Mars.
Depends on how long he books that Airbnb.
Exactly.
But the overall story is that these are tiny, tiny effects.
It would be a challenge to measure these things.
You'd need very precise devices.
But in the assumption that we can build crazy, powerful engines that get us to Mars in two days,
then the time dilation effects are going to be the most dramatic.
But even those are parts per million.
Yeah, they're super tiny.
But what's interesting is that they're there, right?
They're measurable.
Like if we synchronized our clocks and you went out there.
came back, like our clocks would be off.
Yeah, and it really reveals that we live in an unusual set of circumstances.
You know, we're not living near very strong gravity.
We're not traveling at very high speeds.
And so our clocks are mostly just synchronized.
But there are places in our universe with extreme gravity
where things are traveling at very high speeds relative to each other.
And their clocks are much crazier.
All right, well, I guess then the answer for Dan is that he's much better off vacationing here with me,
my private island, floating at the point.
than by going to Mars, I think my mojito will probably take more time off with his overall
age than going to space and with an anti-matter engine.
Yeah, that's right.
His mojito will melt one second slower after a million mojitos.
It'll be hard to drink and going at 8 to 10 Gs.
So, again, come join me, Dan.
It's much more comfortable here.
Dan, you just scored an invitation.
Wow.
Yeah.
Of course, I don't know your last name, Dan.
so I'm just going to ignore all emails from Dan's.
I'm sensing a problem here.
How do I know which one to ask the question?
Or is this Dan Daniel?
Oh, did I just invite you to my island?
Yes, this is my alter ego, Dan.
This is your twin that I wanted to go to space.
When I take off my glasses, I'm Dan.
Oh, no.
It's the twin paradoctor.
All right, well, let's get to our two other questions.
we have an awesome question here about the nature of light
and one about quasi-particles and crossword puzzles.
So we'll get to that clue.
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All right, we're answering listener questions here today
and inviting people to our private island, apparently.
All right, we have a great question here from John Lopez
about the reality and nature of light.
Hi, Daniel and Jorge.
My question is, what is the physical reality of a wavelength of light?
Like, what does it look like to have a wavelength of nanometers
versus a wavelength of tens of meters long?
On the graph, I know we represent it as
the peaks and valleys all stretched out.
But what does this mean in real life?
For example, in microwaves mesh holes block microwaves
because their wavelength is longer than the size of the holes,
the visible light passes through because the wavelength is so much smaller.
So in reality, a wavelength must be something different
than stretched out peaks and valleys
because otherwise it seems like both could pass through the holes just fine.
All right, great question.
Basically, what exactly is light is the question?
Can you shed some light on this topic?
I love this question because it's clear to me that John is trying to, like, build a mental picture in his mind.
It's trying to think about what happens in the universe and trying to describe it mentally,
thinking about like, are the photons zigging and zagging is like really wiggling sideways?
What is actually going on?
How to think about this stuff?
It's really important that you build this mental model in your head.
That's what physics is.
So I love hearing him doing physics in his mind, trying to link it all together to get a coherent picture.
It's perfect.
Yeah, I guess he's trying to get an intuitive sense of what light is like.
Like if you were shrunk down to the small level, quantum level, what would it be like to experience light?
Yeah, that's a great question.
And, you know, fundamentally we don't know what light is.
Quantum mechanical things are very hard to visualize and to think about.
But John's question actually is more about like classical physics, like thinking about light
in terms of electromagnetic waves, you know, the peaks and the valley and the wiggles and
why that means your microwave is not frying your brain, even if you stick your nose against
it while you're cooking your popcorn.
That do you know of?
Maybe that's why my brain is fried.
Oh, my gosh.
Yeah, you're too impatient on the popcorn there.
Should you go to Mars, take a vacation, come back, it'll be ready for you.
And I think there's a lot to learn in terms of how to think about light as wiggles in the
electromagnetic field because I hear a lot of misconceptions out there and actually a lot of mistakes
in popular descriptions of how light works. So I think we can clear up a lot of those misunderstandings
even just in the classical picture ignoring quantum effects, not thinking about photons, just thinking
about light as an oscillation in the electromagnetic field. Wow. Okay, so this is confusing me a little
bit because I think maybe what I know, what a lot of people know is that light is both a particle
and a wave, right? Like that's kind of one of the dualities that physics found out at some
So you're saying let's ignore the fact that it's a particle, or are we just going back in time and forgetting quantum physics?
We're going back in time and forgetting quantum physics because we don't need quantum physics to explain this effect.
The reason your microwave works and the reason it doesn't fry your brain can be explained using purely classical physics.
So when you're talking about the wavelength of light as a wave in classical physics, is that the same wave as when you're talking about quantum physics and things having a wave function, for example?
there's an evolution there from one idea to the other idea absolutely but we don't need to go into
quantum physics for this answer and that's a whole digression and you might think hold on a second but
you know the world is quantum how can you do that but you know physics is all about making approximations
none of our theories of the universe are exact and perfect they ignore quantum gravity because we don't
understand it but you only need to apply the physics you need to answer the question like if somebody
asks is this cannonball going to make it over that castle wall you don't need to do quantum calculations
you just need f equals m a so part of doing physics is applying physics judiciously and in this case
we can just think about like maxwell's understanding of photons and light as waves in the electromagnetic field
well i imagine john is curious and it seems like from his question he is about the nature of light
yeah so like is light a wave is light a not a wave we can think of it as not a wave or as a wave or only a
wave what is the classical picture of light yeah so the classical picture of light Maxwell's idea
from like 150 years ago before quantum mechanics is that light is just wiggles in the electromagnetic
field like an electron has an electric field right and if you wiggle an electron the field wiggles
with it that's why wiggling electrons in an antenna will generate waves like radio waves which are
electromagnetic waves and other charged particles wiggling more quickly with higher frequency
will generate waves in the electromagnetic field that have higher frequency some of those are visible
or even ultraviolet light.
So all kinds of light and radio waves,
all the electromagnetic radiation
are just wiggles in the electromagnetic field.
That's the classical picture.
And the electromagnetic field in this case
is not the same as the electromagnetic quantum field
that we've talked about before.
Well, you can quantize this whole theory, right?
You can say the electromagnetic field
follows rules of quantum mechanics
and so only some solutions are valid
and there's minimum oscillations.
But in classical physics,
it just follows standard wave equations.
And it's just the electromagnetic field oscillating.
It's the same field.
It's just like which equations are using to describe it
and are those quantum mechanical or not.
And here we don't need to get into the quantum mechanics.
But it is important to understand what that field is, right?
Sometimes we imagine a field is this like weird physical thing
that fills space.
But really what it is is a set of numbers at every point in space.
Like if you think about an electric field,
you think, well, it's strongest near the electron,
it's weaker further from the electron, right?
There's values to the field and those values vary
across space.
That's how you can have a wave propagating through it.
It's like stronger here and weaker there and stronger here.
And those values are moving through the field.
Sort of, I guess, like a sound wave kind of.
But instead of there being like a physical air particles, imagine they're just being nothing
there, just math.
Yeah, exactly, just numbers.
Imagine those numbers then moving through space.
Like this location is a zero and the next location is a two.
And that two is moving through space.
So now a different location has that two.
That's like a pulse moving through a field.
But is it too moving through space or is it too somehow like exciting the number besides it,
making it sort of like the wave in a stadium when you're watching a game or something?
Yeah, it's more like the wave in a stadium, right?
The energy is moving from one spot in the space to another spot in space.
It's a different place in the field that now has that energy.
Okay, so then before quantum physics, we thought all light is just like the wave in a stadium.
It propagates that way.
And I guess that makes sense for like a light bulb.
which is emanating light in all directions.
But then how do you think about it for a laser?
Is it just like one row of the stadium is carrying the wave?
Yeah, just like one row of the stadium, exactly.
And there's an important point here when you're visualizing that laser beam,
that photon flying through space.
You probably have in your mind some sort of like sine wave.
Like it's wiggling sideways as it moves through space.
Right.
So what is actually wiggling sideways there?
Does the laser actually have like a sideways extent?
The answer is no.
the light moves in a straight, perfect line.
If you make a laser beam that has like zero width and is perfectly parallel,
then the light moves in a narrow line.
It doesn't wiggle sideways.
What's wiggling are the values of the field, right?
Because electromagnetic fields are slightly more complicated than just numbers in space.
They're vectors in space.
So now at every point in the field, you don't just have a number, like a two.
You have a number and a direction.
And so that's what's oscillating.
As the light beam moves through space, you have like an arrow, a vector from that point,
and that vector can change directions and magnitude.
So when they depict a photon like wiggling sideways,
it's not physically moving to other points of space.
It's just that the arrow of the electro or magnetic field is now pointing in a different direction.
Like its value has a direction sort of perpendicular to the direction of the travel.
Yeah, exactly.
Is that direction changing?
Like for a regular pulse of light, that direction doesn't really change, does it?
Absolutely, it does. And that's what the wavelength is, right? The wavelength is how far the light travels before the arrow comes back to where it was before.
Wait, as it's going, as the pulse is going, it's changing in both the value and it's rotating?
That's right, because it's shifting between its electrical and magnetic components. At one point, it's purely electrical in one direction.
And then that electrical component is shrinking as the magnetic component is growing in a perpendicular direction. Those two fields are always perpendicular to each other.
Which direction does it rotate?
And that depends on the polarization of the light.
Light can be polarized in lots of different directions.
So it could not rotate or it could rotate left or it could rotate right.
That's a whole other issue.
We talked about that in another podcast, the polarization of light.
But here we can just imagine the simplest scenario.
Imagine it's not polarized.
The electric field is pointing in one direction.
Then it shrinks to zero as the magnetic field is created.
Then it goes negative.
So it points in the opposite direction and then it comes back.
The wavelength of the light is how far it's traveled between those peaks
of the electric field.
All right.
So then John's question was like,
what does it mean to have a nanometer wavelength
and a wavelength that's maybe tens of meters long?
Does that mean like the wiggles are just shorter?
Yeah, it just means the wiggles are shorter.
So if you generate microwave radiation,
you know, with microwave wavelength,
that means like the light travels a very short distance
between those peaks in the electric field.
If it's like radio waves with tens of meters of wavelength,
then it means that you can start off with like your electric field.
field peeking at one place and then it's literally tens of meters before it oscillates down
and then back so that it has the electric field pointing in the same direction again.
That really is something physical.
But in both cases, it's going at the speed of light.
It's going at the same speed.
It's just spiraling or wiggling or changing at a different scale.
That's right.
The frequency is different, but the overall speed of the wave is the same.
It's still moving at the speed of light.
Just how many wavelengths happen when you go 100 meters.
But again, I feel like this is kind of the classical view.
You preface this as being the classical view.
Is this actually what's going on and does this actually tell us what light is?
Or is this just some mathematics that we came up with that helps explain what's going on with light?
You know, some mathematics that we came up with that helps explain what we see could describe all of physics.
You know, we don't know what's really going on at any level.
Philosophically, all of our theories are just some mathematics that help.
us explain what's going on. We don't know what's true. We think that none of our theories
are true. Well, there's a little bit of a difference, right? Like, for example, like if you're
dealing with waves in the ocean, you can use wave equations, describe those waves. But really,
you know, that underneath, there's, you know, little particles of water bumping against
each other and propagating energy and pulling on each other, right? So it's like the wave
equations work, and they start to tell you what's going on, but they maybe don't tell you about
the nature of what's going on underneath. That's right. But sometimes they're actually
better at answering questions. Depends on the question you're asking. If you're asking questions
about waves and why the reflect or why they break, then the answer is better described in terms of
the macroscopic. Why do waves break? It's because as they approach the shore, part of them get
dragged. You can't really answer that question using the microscopic picture of waves as tiny
particles. You get lost in the details. So the answer depends on the question you're asking,
which theory of physics you want to use, which approximation, which details you want to sweep under
the rug depends on the question you're asking because fundamentally we don't know the deepest
theory of the universe so in that sense we can't answer any questions we always got to zoom out to
some level and give the appropriate answer based on the question right right but i feel like john's
question here is trying to get us to like what is the nature of things right like i feel like maybe
we just repeated his question thus far which is like yeah life has different wavelengths and some
them are more shorter somewhere more longer like when then what would you say then is the relationship between
electromagnetic fields and arrows and maybe what we know now about the quantum particle nature
things. I mean, I think maybe you're more curious about the quantum nature. John wanted to know
about microwaves. But, you know, in terms of the quantum nature, quantum theory of electrodynamics
is a natural successor of classical electron dynamics. Like you take Maxwell's equations for electromagnetic
fields and you quantize them. You say, well, they can't just have any value. They have to have
limited values and you end up with photons packets minimum bundles of energy in the field instead
of arbitrary size energies in classical theory you can have as dim light as you want but in quantum
theory you can't there's a minimum there it's because it's additional mathematics so there's
definitely a relationship between like the wave function of a photon and the classical wave length
of a beam of light and we're actually going to talk about that in an episode coming up soon where we're
talk about, like, how long is a photon? But I think to answer John's question here about, like,
why can mesh holes block microwaves? We only need to use classical physics. All right. Well,
let's answer that question then, because he asked that directly. Like, why is it that some waves can
pass through holes and others not? This is a really cool question and actually a very difficult one.
A simpler version of the question is much more simple. Like, why does a metal box at all block
radiation? The microwave is encased in a metal box to protect you from the radiation.
but you might wonder, like, how do the metal box block radiation?
Like when you get into an elevator, why do you have no cell phone signal?
It's the same question.
And this is a simple process called a Faraday cage.
Anything that's a conductor that has electrons roaming around in it,
if you try to pass an electrical signal through that conductor,
the electrons inside the conductor are going to rearrange themselves
to basically cancel out that electromagnetic radiation.
Because they're electrons free to move,
the radiation creates electric fields,
that pushes the electrons to counteract that electric field.
So you basically can't have an electric field inside a conductor.
So any time you build a metal box, you can put your phone inside, for example, it'll get no signal.
And also, nobody can spy on you.
So that's how a Faraday cage works if it has no holes in it.
Because the box, I guess, is made out of stuff and that stuff blocks the light trying to get in.
Yeah, exactly.
And it's not just that it blocks light, right?
You know, materials can block light.
But metal can also block invisible radio waves that could pass through walls.
They just can't pass through metal.
So if we're given a metal box, there's no wave of light that can penetrate it?
It depends on the wavelength and the thickness of the box.
Like there is a depth that electromagnetic radiation can penetrate into various conductors.
So like a super high intensity beam or the right wavelength might be able to penetrate some metal boxes depending on their thickness.
But for a perfect conductor, then yes, you have to have zero electromagnetic field inside of it.
Okay, so then what happens in like in my microwave that you punch holes in this box?
Yeah, so you might wonder, okay, there's holes in the box.
Why can't light go through the holes and be blocked by the mesh?
Right?
Am I just getting like patchy radiation through the holes?
Amazingly you're not.
Even though there are holes in that mesh, none of the light gets through.
Well, some light gets through because I can see inside my microwave.
That's right.
none of the microwaves get through. The light actually does get through. And so now it depends on
the frequency of the light. And I think in John's question, he's wondering, like, is that because
the light is like oscillating sideways? And so it can't fit through the mesh? And the answer to that
is no, that's misleading, right? Light is not oscillating sideways. Microwaves or visible light
aimed right through the center of one of those holes, they can both fit through the hole. It's not a
physical issue. They're not like bumping up against the size of the hole. It's a different effect
that's filtering out the microwaves and not the visible light.
So then what is that effect?
Yeah.
So what's going on there is a little bit more subtle.
What has to happen is you have to have zero electric field inside the mesh.
Like everywhere you have metal, you have conductor, you have electrons, that's going to zero out the field.
Now you need to think of the light not as a particle, not like as one little thing that's like a tennis ball flying through the hole, but like a wave.
And when a wave meets a new kind of material, like when light hits glass or when light hits water, right, then you have to find a solution.
that satisfies all the wave equations at the boundaries.
What that really means is that the waves have to line up.
Remember, we talked about the waves as wiggles in the field.
Well, you can't have weird discontinuities in the field.
They have to match up at that boundary.
This is why, for example, light bends when it goes from air to glass or water.
Because the different medium means a different index of refraction,
which means a different wavelength.
So for two fields to match at the boundary,
When they have a different wavelength, one of them has to be bent relative to the other, the different angle.
The same principle applies here with the case of the mesh, but it's much harder to find solutions on both sides of the mesh
because the mesh requires the field to be zero at so many places on it.
And in this case, requiring that the electromagnetic field is zero inside the mesh creates these interference effects
that cancel out any electromagnetic fields with low a certain wavelength on the other.
side of the mesh. Okay, you lost me
a little bit there. I wonder if we've lost
our listeners. Maybe let's been
maybe a more simple scenario. Let's say I'm a
Mark Wave and I'm flying through space
and I see a big metal
sheet in front of me with a little tiny hole in it.
Now, earlier you're saying that I should be able
to go through it because I don't really have any
width to me, right?
Like the wavelength of my light is not
sideways to me.
It's more like
how often I'm pulsing,
right? Technically I could still go
through that hole. You have no width to you, yes. Yeah, I'm a beam of light. If I'm a microwave,
why can't I go through that little hole? Yeah, sounds like you should be able to, but you're actually
using a particle picture, right? You're thinking of yourself as having one location and flying through
space. But we're talking about waves and waves have to have solutions everywhere in space.
So you have to find a solution that satisfies all the equations everywhere in space. It's not about
an individual particle flying through space. It's like a steady state. You have like waves.
in this box and they're bouncing around.
Can any of them escape?
But didn't we talk about like a single beam of light being like one row in a stadium that's
doing the wave?
Like it's super thin.
Couldn't that wave go through a little hole?
Yeah, it's one row, but you have to think about the whole row, right?
You have to think about the equations of the whole row and whether the equations work on
one side of the mesh and the other side of the mesh.
It's a little bit unsatisfactory because it's all about these interference terms satisfying
the equations.
It's hard to get a physical intuition on it.
The best I can do is to remind you that when you approach that mesh, you're not just flying through it, right?
You're inducing electromagnetic fields nearby, and so you need a solution on both sides, and that effectively induces light in lots of different directions.
And the requirement that the electric field be zero inside the mesh means that you can't have wavelengths that are longer than that because it will hit that zero requirement and get canceled out.
this is the same issue with like thinking about how light gets bent at an interface like how does that actually happen how is an individual photon get bent how all the photons bent the same way it's the photon picture that's the problem it's really there's a wave description here and it's the solutions to the wave equations that dictate what happens so the problem is thinking about it in terms of like a little particle flying through you're right that is a very unsatisfying it's hard to tackle in a podcast but I think what you're saying is that instead of thinking about this
in a time sequential way like I'm in one side of the wall with the hole in it and then later I'm in on the other side of the wall with the hole in it
you because you're talking about ways you kind of have to think about it all at the same time like the before and the after
all had to be part of the same physical consistency and somehow if my wavelength is too big I just can't go through that hole like there's no solution that puts me in both sides of the hole in the timeline of the universe yeah exactly and you can actually escape this
requirement a tiny bit if you send little pulses. Like if you send individual tiny little pulses
of microwaves, some of them will get through. But it's when you have a consistent source of the
microwaves. It's like the previous ones are canceling out the future ones and they're all
interfering with each other in just the right way to cancel any waves that make it through. Individual
pulses actually can get through a little bit. So you're exactly right. You have to think about like
the steady state solution, all the waves working together can any of them make it through. So it's really
it's an interference effect.
Like the before and the after at the same time.
So I think to answer John's question,
I mean, he is asking, I think,
about the physical reality of wavelength
and what's really the nature of these things.
Maybe the answer is that the, you know,
light has this wave nature.
And this wave light nature is not just in space,
it's also in time.
And so for whatever reason,
the nature of light means that you have to take into account
the past and the future all at the same time
and it all has to work together
with the effects of the electromagnetic interactions with the wall.
Exactly.
And this wave picture of light really can't explain all these kinds of effects.
Light bouncing off of water, light refracting in water, and also light being trapped by Faraday cages.
Well, I feel like it's a bit of an unsatisfying answer for John here.
Basically, the answer is because you can't.
The answer is that like the mental picture of light moving as a little particle isn't really the right way to think about this problem.
And unfortunately, you need different mental models to solve different problems.
There's no single unifying understanding of physics that we can use in every situation.
All right.
Well, thank you, John, for that question.
Now let's get to our last question of the day.
And this one is about quasi-particles and crossword puzzles.
So let's dig into that.
But first, let's take another quick break.
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All right, we're answering questions here today, and our last question comes from Peter.
Hi, Daniel and Jorge. This is Peter from Winchester, Massachusetts. My question comes from a crossword puzzle.
The clue was type of quasi-particle and had to be seven letters. The answer turned out to be plasmon, P-L-A-S-M-O-N. Could you explain what that is? Thank you.
All right. Interesting questions here.
Peter was doing a crossword puzzle, and he came across an interesting solution, which is a plasmon.
And so he's wondering, what is that?
Or maybe Peter just made a mistake on his crossword puzzle.
No, I think he's exactly right.
A plasmon is a quasi-particle, and it has seven letters.
So boom, boom, boom.
Oh, all right.
Well, I would have to look at the whole crossword puzzle to double-check that answer.
sometimes crossword puzzles have multiple answers
That's true, yeah
There might be many quasi-particles that satisfy this
Yeah, no, they actually design
I think they even call them like quantum crossword puzzles
Where there's like multiple solutions that can fit
Oh my gosh, like cross-wans
Interfiring cross-wans
Yeah, yeah
And they have wavelengths and time moves slower
It's the whole thing
All right, well it sounds like
Plasmont is a real thing
What is it, Daniel?
And just to spell it out, Peter spells it out, P-L-A-S-M-O-M-M.
Mm-hmm.
A plasmon is a quasi-particle.
It's like an oscillation in plasmas that we can describe using the mathematics of particles.
Usually when we talk about particles, we're talking about oscillations in fields,
like the electromagnetic field or an electron is the oscillation in the electron field.
And we have wave equations that describe how those fields
oscillate and how they vibrate and how the Higgs boson affects them to give them mass and all the
kind of stuff. You can imagine like a little standing wave in the electron field. That's what an
electron is. So when we talk about particles, we have math that describes the oscillation of these
fundamental fields. We don't know what these fields are or what really is doing the oscillating,
but that's the math we have. We can take that same mathematics and we can apply it to things
that are not fundamental fields like you can apply it to sound waves in air or you can apply it to
electrons moving through materials you can apply it in lots of situations and those are quasi
particles so particles are these particular kinds of oscillations in fundamental fields quasi
particles are the same kind of mathematics the same kind of oscillations but in something that
isn't a fundamental field but then you can apply that to real things that are made out of things
like water and air, right?
You can sort of apply those wave functions to media.
Yeah, exactly.
And the cool thing about a particle is that it's persistent, right?
It's like quantized.
You can count it.
It's discrete.
And it like moves through the universe.
And electron as it moves to the universe doesn't like dissipate down into little mini electron
ripples, right?
It's persistent in this way.
And so sometimes you can see the same thing happening in other media, right?
Like if you can make a smoke ring that's really persistent,
and flows to the universe and holds itself together somehow.
I mean, I'm not an expert in how smoke rings work.
But imagine that.
Then you could maybe describe that using the same kind of mathematics
you could use to describe electrons.
So you might call that a smoke on or whatever.
But maybe just even more typical, like a wave in the ocean,
you can use wave equations to describe them.
And they're just ripples in the body of water.
So in a way, they're sort of just like waterons, right?
Yes.
Not every wave phenomenon can distinguish.
describe a particle. Like a particle is a special kind of persistent, discrete wave phenomenon. But yeah,
in the end, it's all rooted in wave descriptions of how a medium is moving. And we talk about sound
waves as like phonons. It's like a basic unit of the sound wave. Can you describe all sound in
terms of these like sound quasi-particles? That's what a phonon is. Where I guess if we're following
the same convention here, it would be erons, perhaps.
depending on what the
or gasons
yeah if you want to reinvent stuff that already has
names for it so that everybody gets totally
confused then perfect yes
yeah to make it clear perhaps
there is a thing called phonons
and there's lots of these quasi-particles
people are discovering new ones all the time
you know there's things called
anions and plasmons
are an example of a quasi-particle
they are particular kinds of oscillations
but in plasma.
So plasma is just gas that's really, really hot.
Like take hydrogen, it's got a proton and an electron.
The electron is bound to the proton
because it doesn't have the energy to fly away.
Well, if you give that electron more energy
so that it's moving like too fast
to be bound by the proton, then it's free.
And now you have a gas of protons and electrons
instead of a gas of hydrogen.
That's a plasma.
Now, is a plasma then basically a phonon
in plasma?
Well, a phonon is like a density wave, and that's ignoring the charge distribution.
Plasma on is a little bit more than that because it also has to do with the charge distribution.
Because once you have a gas that has charges in it, there's more kinds of forces that it can feel.
Like hydrogen, pressure passes through it because the particles are bumping up against each other.
But in a plasma, pressure can move through it because the charges are repelling and attracting each other.
So you have sort of like two gases on top of each other.
You have a positive and a negative gas on top of each other,
and they're pushing and pulling on each other.
If everything has infinite time to sit around, it'll equilibrate.
But that's not usually what happens.
You form these things in high-intensity situations.
You have pulses in them, et cetera.
And so plasma is a description of the oscillation of mostly the electrons,
but also a little bit of protons due to the charges of these things.
So you have this plasma of electrons and protons floating around, flying around,
and sometimes because of the dynamics between the different particles,
you get these weird little effects that move around like there were particles
inside of the plasma.
And that's what you call a plasma.
Exactly.
And that's actually related to the previous question,
because the reason these electrons are moving is because there's an electric field.
Often the electric field is because the electrons are separated from the protons.
So they've created an electric field between them.
So now the electrons move to try to balance out that electric field that they had a part
in making, but sometimes they overshoot. And so they oscillate back and forth and back and
forth. So you get all these sort of like oscillations of the electrons because of their charge
differential. And those oscillations, we can call plasmons. This is like people trying to make
connections between different fields of physics. They're like, oh, people have all these cool
mathematical tools they can use to describe waves as particles. Maybe if we apply that to our situation,
we'll try to gain some understanding. This is all about like emergent physics, like,
Should we take a step up from the microphysics and try to understand the bigger picture immersion phenomenon?
Should you think about the water particles or should you think about the waves?
It depends, again, on the questions you're asking, which tools you want to bring to bear.
We don't have a fundamental theory of physics that can answer every question we can ask.
So we have to sort of choose like how to zoom in, how to zoom out, what approximations to make,
what things to focus on, what things to ignore.
So plasmons can be useful for some kinds of questions in plasma physics.
Like what kinds of questions?
Like what are these useful for?
Like how to keep plasma stable?
You know, in magnetic confinement fusion,
when you get plasma is really, really hot
and you hope that the protons will fuse sometimes
and then create more fusion,
you're really interested in these kinds of oscillations.
The thing that makes magnetic confinement fusion difficult
is that plasmas are really hard to keep stable.
They're very turbulent and very chaotic.
So understanding the oscillations in a plasma,
how to keep those stable,
how to keep those from spiraling out of control
and creating chaos that breaks up,
the plasma and ruins the fusion conditions can really help you build like a long lasting fusion
reaction, which is the whole idea of magnetic confinement fusion.
That's kind of the holy grail of fusion, right?
A super clean energy that will last this forever.
Like if we can control plasma and then we can basically replicate what's going on inside
the sun.
Yeah, that's exactly right.
We need to understand plasma oscillations if we have any hope of keeping plasma stable and
getting fusion, which is the energy source of the universe in the end.
So plasmon's can be really helpful for answering some questions about plasmas.
And crossword puzzles, apparently.
I wonder which one is more useful to humanity.
I don't know, but maybe you and Peter can answer these crossword puzzles as you drink mojitos on your private island.
That sounds wonderful.
It's going to be me, Dan, John, and Peter drinking mojitos, solving crossword puzzles in my private island while we get wiser and older.
That sounds good to me.
Wait, wait, wait, are you Dan or not?
We're just happy for us?
I'm the quantum interference between Dan and Daniel.
Yeah, I need to know which one we're getting here.
All right, well, those are three awesome questions we've answered today.
Thank you to all of our question askers.
And thanks to everybody who writes in with questions about the universe.
Keep thinking deeply, keep asking questions, and don't give up until it makes sense to you.
And or you get an answer from Daniel or us on the podcast.
That's right.
Or maybe shows up in a crossword puzzle.
Either way, it's a thrill.
And if you don't hear from me,
feel free to look up Jorge's address
and take him up on his invitation to the private island.
Yeah, there you go.
All right, well, we hope you enjoyed that.
Thanks for joining us.
See you next time.
For more science and curiosity,
come find us on social media
where we answer questions and post videos.
We're on Twitter, Discord, Insta, and now TikTok.
Thanks for listening,
and remember that Daniel and Jorge Explain the Universe is a production of iHeartRadio.
For more podcasts from iHeartRadio, visit the iHeartRadio app, Apple Podcasts, or wherever you listen to your favorite shows.
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