StarTalk Radio - Einstein’s Crumbs with Janna Levin
Episode Date: April 29, 2025How did Einstein’s work influence the world we know today? Neil deGrasse Tyson and Harrison Greenbaum team up with astrophysicist Janna Levin, PhD, to explore Einstein’s physics and its resultin...g discoveries, from Walmart laser pointers to black holes and wormholes. NOTE: StarTalk+ Patrons can listen to this entire episode commercial-free here:https://startalkmedia.com/show/einsteins-crumbs-with-janna-levin/Thanks to our Patrons Vickie Patik, Chukwuma, Jaxie Thund-a-Lund, Eric Muldoon, Kevin Price, True Gordon, Chris Del Rosario, Bill Taylor, Garth Graham, George Koris, Kari Legates, Robert Browning, Everyone wants to be a cat, Christine Ferguson, Monte Plays Games, Bernard Pang, HARMS, Ari Nahmad, Alyssa Feldhaus, Noel Aguilar, 5ityf, Lez Dunn, Jeff Blessing, Brian Hann, Gregory Rodgers, Renzo, Serge, Ralph Loizzo, Tejas Phatak, André Shabazian, Lester W Marlatt, WILLIAM WALKER, Prema Wargo, Gaz Davies, Shota Dzidziguri, Phillippe Chicoineau, Hunter Hall, Marcos Lima, Mark S. Jones, Robert Fisher, Dave Zetrenne, Moad, Brain Jones, Sergio, Jeff Sauer, Donald G Smith, and Aleksey Parsetich for supporting us this week. Subscribe to SiriusXM Podcasts+ to listen to new episodes of StarTalk Radio ad-free and a whole week early.Start a free trial now on Apple Podcasts or by visiting siriusxm.com/podcastsplus.
Transcript
Discussion (0)
So Harrison, if you loved Einstein before,
how do you love the man now?
Oh my gosh, so much.
And I already loved him.
I had a t-shirt when I was a kid
of Albert Einstein on a surfboard.
So you a geek kid?
Oh, 100%.
And was that like a backhanded reference
to gravitational waves?
I think I didn't know that at the time,
but now I do.
Yeah.
Who knew that Einstein's smorgasbord
left crumbs for the rest of us to discover
and win Nobel prizes on?
Oh my gosh, all that and more coming up on Star Talk.
Welcome to Star Talk, your place in the universe
where science and pop culture collide.
Star Talk begins right now.
This is Star Talk.
Neil deGrasse Tyson, your're a personal astrophysicist.
Got with me is my co-host, Harrison Greenbaum.
Harrison, how you doing, dude?
Good to be here.
All right.
Yeah, I'm excited.
And that's your first Star Talk rodeo?
Nope, not at all.
All right.
Maybe it'll be my first rodeo.
I've never done a rodeo.
I think I would die immediately.
That's not happening here, I promise.
We're gonna talk about Einstein today. Love it. You gonna help me out on that? I've heard of him. I need more be doing that. That's not happening here, I promise. We're gonna talk about Einstein today.
Love it.
You're gonna help me out on that?
I've heard of him.
I need more help than that.
He married his cousin, I know that.
Every time we talk about Einstein and related subjects,
we have our go-to person at large.
Jana Levin, Jana, welcome back to Star Talk.
I'm always glad to be here.
You're like a regular practically.
It's always fun, I know.
Because Einstein's a regular.
I know, I feel like I just wanna here. It's always fun. I know. Because Einstein's a regular. I know.
I feel like I just wanna hang around here all the time.
So, Janet, you are the Tao Professor of Physics
and Astronomy at Barnard College of Columbia University.
Theoretical cosmologist.
Yeah, I mean, I say astrophysicist these days.
Or theoretical physicist.
Only because people think cosmology's like cosmetology and stuff.
They wanted me to do their makeup.
I want a fancy title, I'm not a comedian,
I'm a punchline engineer, specializing in ha-ha building
and giggle construction.
So you're director of sciences at the Pioneer Works
in Brooklyn, one of my favorite places.
This is quite the juxtaposition of science,
creativity, and art, and it's just we're creative people
on both sides of that fence, if there really is one,
come together and express themselves.
I really feel like Pioneerix is a sanctuary
because science is part of culture.
We're not trying to hide it in something else,
we're not packaging it in something else,
it just exists out there, and it's a big appetite for it.
People wanna know.
And you've also written a bunch of books.
I have two with me right now.
The Black Hole Survival Guide.
It looks tiny but it's dense, like a black hole.
Spoiler alert, it does not end well.
It does not end well.
I could've guessed that, I think.
So, Black Hole Death Guide,
and then Black Hole Super-Black Hole Guide.
Exactly.
The book is normal size, Neil's hand is gigantic.
There's an element of truth to that.
And my favorite book I like to pronounce,
the Black Hole Blues.
I love that.
That's the British cover, that's very nice.
Oh yeah, so I get around.
What's the difference between the British and, that's very nice. Oh yeah, so yeah, I get around. I get around.
What's the difference between the British
and the, is there an extra you?
Yeah, right, well actually they're
completely different covers.
Yeah, they decide, yeah, different countries,
they have issues with each other's covers.
They change the Albert Einstein's teeth
to make them feel less bad.
In one language and translation, they changed my last name.
To what? Levanova. well as it's funny. In one language and translation, they changed my last name. To what?
Levanova.
I think it was Czech.
I thought that was some serious license.
We'll help you out, we'll make it less dewy.
What?
I kind of liked it.
Yeah, because they made it like Italian almost.
It's just a thing, women are Levanova.
The ova, okay.
Uh-huh, yeah. It was a a thing, women are lava nova. The ova, okay. Uh-huh, yeah.
It was a female thing.
So, we're here to talk about what I've intermittently
referenced as Einstein's crumbs.
You know, when you're eating a meal that you enjoy
and something spills over the edge, you don't even notice.
Because the meal is so good.
And then you walk away with your plate
and other people see what spilled off of your plate,, hey, that's tasty, I want that,
I can work with that.
So in this analogy, the other scientists are my dog.
Who comes in and is like, crumbs, this is the best.
So these Nobel Prize winning scientists are Rufus.
Thank you.
I had not thought about it just that way.
Let's benchmark ourselves, Janna,
to, do I pronounce this right, Anis Mirabilis?
It's Latin, I'll take it.
I don't know.
1905.
Yes, quite a year.
Just listen to me. Young man.
What did Einstein do in 1905?
And the dude was 26 years old when this happened.
Go for it.
So he writes a series of papers,
all of which completely knock the world
on its proverbial arse.
Each one?
Yes, each one.
On its anus, if you will.
Yeah.
I'm sure there's Latin for that.
On its miraculous anus.
Yes, that's my dating profile there.
So let's see, what are they?
Photoelectric effect? Yes, that's my dating profile. So let's see, what are they? Photoelectric effect?
Yes, which?
The photoelectric effect was the idea
that sometimes light behaved like a particle
and not a wave, and so sometimes when you bombard a surface
with light, it will knock it like a basketball
might dislodge something from place,
as opposed to accumulating energy like a wave might.
And so it really was very shocking in terms of.
Was that the first demonstration that light could be
also referenced as particles?
Yeah, it was the first observation,
connection between theory and observation
that it is actually behaving like a particle sometimes.
Very shocking, because 1800s we thought of light as a wave
and we often still do because it's very convenient
to do so sometimes and sometimes it's acting like a wave.
But here was an instance where it really acted more
like you threw a basketball at something.
A really tiny basketball.
A really tiny basketball.
Which was incredible for Einstein to observe
because basketball hadn't been invented yet.
Right and I somehow don't see him,
I don't know, jiving with the sports analogy, but anyway,
so photoelectric effect, shocker.
Paper one, paper two.
Paper two, special relativity, where he has.
Oh, just that.
Just that.
So a lot of times, so the theory of relativity
became this real colloquial thing,
everything's relative and it became invest in society.
I often say it could have been called
the theory of absolutism, because what Einstein really had done is he had adhered to the absolute limit of the speed of light
He took that more seriously than anybody else was taking it at the time
In fact people were struggling to get rid of it
This idea that speed of light was a constant and they were doing everything I can to dethrone that concept which really wasn't taking
Well, it's not just that it's a constant,
it's that it's a constant no matter how,
when or where you measure it.
Absolutely.
You're getting the same answer,
even if you're moving and the light is moving relative,
you measure the same speed of light.
Right.
Which doesn't exist for anything else.
That's insane.
That was an insane concept.
Two cars coming at each other,
or coming at each other faster
than if one of the cars stops.
Okay, but that is not true at the speed of light.
You run at the speed of light,
maybe you're running slowly,
maybe you're running near the speed of light yourself.
It's still coming at you at the speed of light.
It is chilling, strange, seems impossible.
So I think a simpler example
is I'm on the front of a train,
let's say the train goes 60 miles an hour,
and I throw a ball 40 miles an hour,
can I throw that fast?
Probably not.
Okay.
I know I definitely can.
Five miles an hour.
I think you can do anything, Neil.
I can do anything.
I think you can do anything.
I throw it 40 miles an hour in front of the train.
You're standing at the platform,
how fast is the ball passing you?
Do-do-do-do.
Right, is it not adding the two up?
Yeah, yeah.
So it's 100 miles an hour.
100 miles an hour.
Should be, I mean that was common experience.
But if I'm on the front of the train.
I mean I'm not calculating the speed,
I'm worried that Neil deGrasse Tyson's
on the top of a train throwing the ball,
I'm very confused.
So now I'm on the same 60 mile an hour train,
I shine a beam of light,
and you measure the beam of light going by you,
it is the same speed of light.
We don't add the train.
We don't add the train.
We don't add the train.
That's bat shit crazy.
It is crazy and Einstein meditated on this for so long
and there's kind of a simple way to see,
he said, well, you know, what is speed?
It's the distance you cover in space
divided by the time elapsed.
So it has to do with space and time.
I mean, I mean, that's a huge leap already.
And he said, I'd rather that your measures
of space and time are relative than give up
the absolute nature of the speed of light.
So two of the-
So your very measuring stick changes.
Changes.
Relative to the other.
So that you get the same answer.
So that you get the same answer.
That's, that's, that's, your measuring stick
and your rate that time ticks.
That's crazy.
I mean I still get chills a little bit.
Yes, 1905.
Which drug is he on?
I know.
Is it opium?
Is it ether?
At the time.
Ether?
He's not doing ketamine shots.
No.
Okay, give me more, so that's two.
Brownie in motion?
Talk about it, give me some brownie in motion.
So if you look.
I mean I think that feels like a dirty topic.
I don't know if that's appropriate for this.
Actually, I'm not, but Neil knows why it was called Brownian.
There's a guy.
There's a guy who first talked about the statistical.
Observed it, but didn't fully understand it.
Right, so we've all observed it.
So you go to a window, the dustier the house,
the better, you pull the curtains aside,
and you start to see all the particles move around.
They don't fall like rain, they bounce around.
The dust particles.
The dust particles.
And you can see the reflection of the dust in the air.
You know, it's kind of a beautiful image,
the sunlight hitting,
reflecting off the dust particles.
Of an undusted apartment.
I was gonna say, yeah.
Of grandma's.
My OCD is like, no.
Clean that.
Why have you let it go so far?
But we all have had that observation
and we all know it doesn't fall like rain.
So Einstein also relates this
to the quantum nature of matter.
He says fundamentally, air is not a continuum.
If I look at it at the microscopic level,
I'm gonna realize it's made up of individual molecules
and the molecules are moving randomly
because they're knocking into each other.
They're bouncing around, he called that Brownian motion. So they bounce around randomly because they're knocking into each other. They're bouncing around, you call that Brownian motion.
So they bounce around randomly
because they're kind of constantly knocking it,
banging into each other as they move around.
And it was more evidence for the quantum nature
of reality in very early years.
I think it was one of the first supportive bits of evidence
that atoms even exist.
That's right.
Because in other words, you can have a big,
you use the air dust analogy,
but in a liquid solution, if you have a suspended particle
that's larger than the molecules themselves,
the particles sort of moves around in response
to the collective energy of all the particles
that are around it.
And you can calculate what should happen
if this liquid is composed of these tiny particles.
And then you only get this motion
when you have atoms doing the constant agitating.
Jostling around.
Jostling, that's a better word.
We talk about the temperature in the room all the time,
but what that really is is the average
of the thermal motions of an awful lot of particles.
And the statistical behavior later,
very well predicted by Planck.
And so this was all part of that early era
of starting to understand that if I look at a glass of water,
it is not a continuum.
If I get small enough,
it is actually made up of individual molecules.
And it was in the fourth paper, wasn't there?
E equals MC squared.
Oh, okay.
That's a pretty good one.
Okay, yeah, how can I forget about that one?
Yeah, yeah.
That was the whole paper, he just wrote E equals MC squared.
E equals MC squared.
Mic drop.
This has been a busy year.
Except they didn't have mics then.
But drop, he'd find something to drop.
I'll be a speaker.
Refrigerator drop, he was working in a patent office,
right, refining things like refrigerator coolants
and refrigerator cooling mechanisms.
And at the bottom drawer of his desk,
he had what he called the physics department.
And in the physics department,
he was working on these papers
between refining people's patents.
And E equals MC squared is one of the most gorgeous results,
obviously, most famous equation.
Obviously, we all love this result.
And the implications of it went so far beyond
his initial motivation for thinking about it.
But it's so far beyond.
I mean, it's changed the world
as we know it in so many ways.
But he was so.
Okay, so of those four results,
two of them were stapled together
for the one Nobel Prize that he got.
Brownian and photoelectric.
Correct, right? And so he's got one Nobel Prize for two got. Brownian and photoelectric. Correct. Right?
And so he's got one Nobel Prize for two things that are-
And not for eagles, MC Slater.
And not for eagles, MC Slater.
Not for relativity.
Let alone general relativity, which comes 11 years later.
So for me, what's intriguing is,
his Nobel Prize is some of the least interesting work
that he's done.
Right.
It was somebody who wins a Grammy for their worst album.
Well, it was practical.
It was practical.
The Nobel was always very attached to verifiable results.
So it was very hard for Stephen Hawking
to get nominated for a Nobel Prize.
It was surprising to me that even Roger Penrose
not only was nominated but was awarded the Nobel Prize
because they were so theoretical.
And the Nobel Prize is often awarded
for things that have been verified by experiment,
not a minute before.
That's the intention.
That's correct.
Because it was the idea that if it's a theoretical result
could go with the wins.
Right, right.
Whereas if you anchor it in an experiment,
then we got legit, you become legit.
So let's-
And he did this all at 26.
By the time he turned 26, yeah.
I'm 38, so this is very demotivating.
You got it!
Sorry, Harrison.
I'm already 12 years in past.
What is your mommy saying?
Look at us both consoling.
Okay, so you're 38?
38.
So when Mozart was your age,
he was already dead for a year, okay?
So, I don't mean to tell your mom this.
Oh no, it's not gonna happen. You are such a disappointment
Hello, I'm Alexander Harvey and I support Star Talk on patreon
This is Star Talk with dr. Neil deGrasse Tyson.
So let's pick up some of the crumbs now.
All right.
So let's talk about his cosmological constant.
OK.
What's up with that?
I love the cosmological constant. It's up with that? I love the cosmological constants.
The guy couldn't be wrong.
It's like he couldn't be wrong
even when he was terribly wrong.
Even when he was terribly wrong, he was right.
He was somehow later would turn out to be right.
Yeah, so one of the crumbs,
a crumb you don't even know it's gonna grow
into an interesting crumb later.
So your dog would need to give it a chance
before it laps it up.
He put it in his bed and he saved it.
Yeah. I should go look up some more Einstein crumbs actually now that you're saying. The dog would need to give it a chance before it laps it up. He put it in his bed and he saved it. In the bed.
Yeah.
I should go look up some more Einstein crimes,
actually, now that you're saying.
Maybe this will give me some.
I got to open it for yourself.
Invigorate some, yeah.
Yeah, yeah.
Well, so Einstein writes down the general theory
of relativity, which goes beyond special relativity.
This is later, 10 years later, okay?
Yeah, it takes him a little bit.
36, all right, now we're talking about it.
He's feeling it.
He's feeling that there's something there
that he wants to describe,
not just that space and time are relative,
not just that I can rotate space into time,
that they're one kind of space time,
but also that space time itself could maybe curve,
stretch, be mutable, respond to matter and energy,
that around the earth,
the reason why the apple falls from the tree
is because it's following the natural curve in space
created by the mass
of the earth. This is general relativity now. He generalizes the theory away from flat space-time
to curved space-time. Now, once he does this, he still cannot predict everything that this
theory suggests. It's just abundant. It's so abundant that today people are still trying to find solutions from the series
to describe universes.
People came to him, a number of different scientists from around the world, very international
experiment, and over very quickly and over the next couple of years said, you know, your
theory predicts that the universe is expanding.
So other people are studying his theory.
They're imagining what if I have an average distribution
of galaxies in there, all this stuff now,
but I smooth it out, I imagine it's pretty smooth out there
and they say, how is space-time mutable in response
to this distribution of energy?
And you would sort of think, well, a lot of gravity
means things are gonna recalabse.
Yeah, everything is mass.
Everything is mass, and so, you know,
it's all gonna pull towards each other
and it's gonna cause a collapse of the universe,
in which case the universe shouldn't be static,
stable, or permanent.
And Einstein really is resistant to this idea.
He does not like it.
And he says to himself, I must have made a mistake.
In my fundamental equations of general relativity
that describe every possible scenario in the universe.
And he adds something called the cosmological constant.
Because technically, mathematically,
it was consistent with Einstein's laws.
And if you're being completely thorough,
you would have included this term,
called this cosmological constant,
and it's this magic term.
Doesn't know what it is physically,
doesn't know what it refers to
in terms of known forms of matter.
It's not galaxies.
So you can have a math representation of an idea,
not all of which actually applies to reality.
Yeah.
I also liked the idea that you could just throw that in
and be like, I don't know if my theory is right,
but there's this magical extra thing.
Right.
And now it's right.
He knew it was mathematically consistent,
and that's exactly what he did.
Now you know my taxes.
That's what I wanna know.
That's exactly what he did.
Mathematically legit.
He said, look, maybe nature produces an energy density
that's uniform across space and time,
and it is an absolute constant,
and it has this very different property
that it actually pushes the universe outward,
and if I tune it to exactly the right value,
I'm going to balance things,
and the universe will not collapse,
and it will be permanent.
And it will exist that way forever.
Because why should the universe is doing anything at all?
Right. It doesn't owe you anything.
Right, the universe is just there.
And if it's just there, you gotta somehow stabilize it.
Yeah, so he stabilized the universe
with the cosmological constant.
There you go.
Now he has a universe that's permanent,
has lived forever, will last forever,
but not so fast because very quickly,
people study the mathematics of this
and they say it's very unstable. You basically have stood a pencil on its tip
on the top of a hill and said it's stable.
I mean, you can do it for a second.
But it very quickly wants to fall over
and begin to do something.
It'll fall in one direction or the other.
Or the other, and the two directions in this case
collapse or expansion.
Yes, there you go.
So either the universe is collapsing or it's expanding.
It does not want to stay static.
And he called it his greatest blunder.
Now he made a lot of kind of mathematical mistakes,
so he was not afraid of that.
And he was really so experimental and so daring.
So the idea that he even called it a blunder,
I think was because it was a blunder of intuition.
But resistance.
Wait, but wait. It's not a blunder until it's a blunder of intuition. But resistance. Wait, but wait.
It's not a blunder until it's a blunder.
So he puts it in reluctantly and then Hubble comes along.
Later in the.
Oh that's true.
Yeah, yeah.
A telescope phase.
A telescope came first.
Yes.
Edwin Hubble comes along in the same decade,
discovers that the universe is not static, it's expanding.
So now we're okay, because that's one of the signs.
That's one of the signs, and so you don't even need
the cosmological constant.
You don't even need the cosmological constant,
so he comes along and says, look, the universe is not
dominated by the cosmological constant
from what he could measure, It's dominated by the galaxies,
and the galaxies are in fact expanding away from each other.
The universe is in fact expanding.
And it was a real shock.
We had no physical way to understand a force
or a pressure in the universe going opposite gravity.
There was no way, there was no.
And then philosophically, what is it expanding into?
I know, that's the way that we haven't gotten there.
We'll get there.
Yeah.
But you know, at the time Einstein was first doing this,
especially 1905, I mean, he didn't know
there were other galaxies out there.
Oh yeah.
I mean, imagine that.
We knew about the Milky Way, our little island
of hundreds of billions of stars.
The whole universe is just the stars in the night sky.
And that was that.
Right.
I mean, he imagined, I mean,
but it wasn't until Hubble that we identified
that some of those objects out there really were,
first of all, other galaxies,
and that they were all moving away, essentially, on average,
and that it looked like the universe was, in fact, expanding.
So at that point,
he doesn't need the cosmological constant,
and then he declares.
His greatest blunder.
His greatest, and then fast forward to 1998.
Right, and there it is.
And we discover the cosmological constant
operating in the universe.
It's measured and it wins a Nobel Prize.
For him?
No!
God damn it!
Plus they don't give it to you if you're dead.
They don't announce that you're a winner
unless you're alive.
But if you die between the announcement
and the award ceremony.
Then you're okay.
Then you're, you're still dead.
You gotta hold on.
You gotta hold on until the announcement.
Yeah, if you die, you still get the award,
but you're dead.
So in this sense, what he rejects as a blunder
becomes an actual measurement,
and they get the Nobel Prize for making that measurement.
So now the reason why they can measure it,
even though it's not static, you might think,
oh, they could only measure it
if it made the universe static or something.
It actually was very unstable.
What it really wants to do is kind of dominate.
So as all the energy density in the universe
kind of slowly wanes, this constant is eventually there
to peak above all the others as they dilute away.
It just doesn't go away.
And so eventually.
It's a permanent feature of the vacuum of space.
It's a permanent feature.
It's crazy.
Empty space.
Right, there's no way.
It is the energy of empty space.
Energy of empty space.
So eventually it will dominate the property of the universe
and what it does when it dominates
is it drives the universe not only to expand,
but to expand at an accelerated rate.
It's getting faster and faster.
Dark energy.
I've heard about the energy of empty space from my realtor.
Is that right?
They walk around and say,
you should feel the, there's nothing in here yet.
But you should feel this energy of this empty space.
Did they sell you air rights?
Exactly. Maybe they should charge you extra for the empty space. Did they sell you air rights?
Maybe they should charge you extra for the dark energy.
Yeah.
In the air rights.
Don't give them that idea.
And in 10 to the 22 years, which is a long time from now.
That's a pretty long time.
Pretty long time, but I have it on my calendar.
The dark energy will become so dominant,
and the expansion will become so dominant and the expansion will become so accelerated that the fabric
of space time cannot keep up with it and it will rip.
Well that's not, you don't wanna be alive then.
It's called the big rip.
That's if it goes unchecked, the big rip.
So if there are still humans that far out,
they have to figure a way to stop it?
To not have it rip, right.
It'll rip the very structure of the fabric of space time. humans that far out, they have to figure a way to stop it. To not have it rip, right.
It'll rip the very structure of the fabric of space.
Cosmological climate change.
Like they'll have that, you know.
Does it happen instantaneously or do they feel it slowly
start to happen or is it like they just know
at a certain time it's all over?
I know, you start seeing it all around you.
Stuff starts flying apart.
Oh yeah, that may not face like it's gonna happen
in your lifetime.
So now here's a good one.
Great, great, great, great, great, great good one, maybe you don't know this one.
Okay, he predicts based on general relativity
that if you have an alignment of two objects,
one of them will get lensed around it.
And you get what is called an Einstein ring.
Because if two objects are perfectly aligned together,
the curvature of space will take that light
and spread it into a perfect ring.
And so you would see rings around stars in the night sky
from another star that's exactly aligned behind it.
Here's the problem.
Back then, the universe was composed only of stars,
and stars are so small at those distances,
you would never get an exact alignment.
So he said this will probably never get observed
until we discover whole galaxies out in the universe.
And so it's no longer a point of light.
The galaxy has a whole field.
So there are many places you can be behind a galaxy
and still have this phenomenon.
So we see gravitational lenses all the time.
Yeah, and we see it around black holes.
That's how we detected a black hole.
We took a picture of a black hole
because the light from behind it went above and below
and cast the shadow of the black hole.
There's no above or below in space.
Went around.
You in my office, you got to.
Went around.
Went around.
She's out there in the face of the compass like what?
It's all north.
So that was one that he predicted,
assumed it would never be found,
and then in my lifetime, like while I'm in graduate school,
we discover gravitational lenses.
Because people found these objects hanging off the side,
they said, what is that?
Why is it a little distorted?
It's like a whole arc.
It's a whole arc, and then he took a spectrum of it
and exactly matched the spectrum of the object
on the other side and that's the splitting
of the light around the object.
So that's another little crumb
that fell off the dude's plate.
Okay, so tell me about black holes themselves.
Yeah, well black holes also predicted
from his mathematical theory.
But did he predict it?
But not by Einstein.
Why not?
He did not predict, well you know, it's as I said abundant, but not by Einstein. He did not predict.
Well, you know, it's, as I said, abundant.
It's endlessly productive.
You can sit there.
So black holes are crumbs.
Black holes are yet to be shaped crumbs.
Yeah, you have to go at the equations
to decide what you want to think about.
Because it describes every possibility imaginable.
Once you put matter and energy in,
how will space and time curve?
So I could, how does that couch curve space-time?
Not a great question, scientifically not one
most people aren't gonna spend their time on,
but one guy decided, you know, he's on the Russian front
during World War I, Karl Schwarzschild.
Yes, did he die on the front?
He did, he died like six months after,
I think, this correspondence with Einstein
where he sends him, he said,
I found a very simple solution to your equation.
Did he die on the front
because he was busy writing letters to Einstein?
I know, but not paying attention to the bullets.
Hey buddy, you're on the front.
Yeah, I think he contracted some infection.
It was quite dire.
A lot of people back then died of non-bullet injuries.
Related, yeah.
So, but he said, imagine, it was a thought experiment,
imagine you took all the mass of a star
and you crushed it to a point,
or it could have been a planet,
or it could have been anything.
So you're imagining that all the mass is at the center
and a point, you don't ask how nature would do such a thing.
I don't even think Schwarzschild believed
that there was a way nature would do such a thing.
Certainly Einstein didn't, but the math was sound.
It described the curvature of space-time
if you're far away around a star or the Earth,
but as you get closer and closer
and all the mass is still in front of you,
eventually you form this event horizon
where not even light can escape.
That's really what we mean by the black hole.
Because the surface gravity gets higher and higher.
Yeah, it just gets,
because the mass is always in front of you
if you think about it.
Yeah.
Like if I go inside the sun,
the gravity drops off because I'm leaving
some of the mass behind.
So you're vaporized.
I'm vaporized.
They didn't bring that complication.
Right, right. I always say, you know,
black holes are much more benign
than people give them credit for.
Oh yeah, you can just dive.
The star is incendiary, right?
Right, right, right.
But the black hole, you can get real close.
So this is what I-
You just can't get out.
So we call this the Schwarzschild solution
to Einstein's equations.
Yes.
So Schwarzschild does this,
but he dies, so no Nobel Prize for him.
But it's still an amazing result.
And Einstein doesn't think they're real.
He says it's beautiful, he helps get it published,
and he couldn't believe that such a simple solution
came out so quickly, it was within six months.
Or that nature would even allow it.
Yes, he thought nature would not allow it.
Yeah, that there could be something that arises
that prevents such a catastrophic collapse of matter itself.
I mean try to.
Just staring at this guy, no.
Well try to crush a soda can.
It's nearly impossible to get past a certain point.
It's hard to do.
It's hard to crush things
because there's matter forces that resist.
Wait, that's a soda can with soda in it.
Empty.
I could otherwise totally crush a soda can.
Can I be clear about this?
That'll be like a demo that I wanna see added.
But only to a point, you can't make a black hole.
No, not a black hole, right, right, right.
Because the atomic forces will resist.
Now, so I have to share this quick story with you.
I'm having dinner with Stephen Hawking and.
Nice flex.
Yeah.
And so I was talking about Isaac Newton,
where he did not figure out that the solar system
was stable using his own equations, okay?
It turns out in the solar system,
here's the sun and here's like Earth going around,
you're Jupiter.
Every time I go between the sun and Jupiter.
You're saying I'm very big?
Yeah.
Yeah, exactly.
No, I'm saying you're gaseous.
I've been working to get to Mars. I'm saying you're gaseous. I've been working to get to Mars.
I'm saying you're bulbous and gaseous.
So Earth comes around and it feels you tug a little
because you're closer here, right?
And then over here and it comes back around
and feels a little tug.
So all these little tugs, he knew that if this continued,
Earth would just fly out of its orbit
for thousands, millions of years.
This would just be this runaway destabilizing force
going on in the solar system.
And so, you know what he said?
He said, God must step in and fix things.
Because that's how badass he is.
He said, I know my equation.
Where?
So the only thing, because we see a stable solar system.
Okay, but 100 years later, 100 years later,
Laplace comes up with a formalism,
a branch of, it develops with others,
but it develops a branch of calculus
that can demonstrate that these little tugs,
which are multiple little tugs on a major system, all cancel out.
It's called perturbation theory.
But it's just a branch of calculus.
The dude invented calculus.
So you can't figure that out.
So I asked Hawking, I said, how come he didn't figure it out?
Because who else are you gonna ask,
if not Stephen Hawking?
And you waited a very, very long time for a reply.
Yes I did, thank you.
So I went on to other conversations.
And when he was ready.
With his eye blanks, he's assembling the answer.
And it must have been 20 minutes.
20 minutes later, he said something simple and brilliant.
He said, you can't think of everything.
That took him 20 minutes to type?
No, no, no.
You can't think of everything.
And I said, that is so beautiful.
And then he went on to say, to follow that with,
Einstein did not come up with black holes.
That's right.
Because you can't think of everything.
You can't think of everything.
And I said, that's comforting actually.
I mean an entire industry of scientists
have been since still working on Einstein's equations.
I got another one for you.
He wrote a research paper on the stimulated emission
of radiation.
This is an extraordinary result that you have to kind of be
on the inside to appreciate.
Okay, I'll tell you what it is, you ready?
So you have an atom with these energy levels
where the electron hangs out.
It's in discrete energy levels,
it can't hang out anywhere.
It's quantum.
A quantum is units of anything, okay?
So it's quantized.
Even solace.
Quantized.
Think about it if you have a quantum of solace.
Very Marquez, somehow. Yes, it is.
So the electron can only be in any one of these
discrete levels at any given time.
And if it's at a higher level, left to itself,
it'll want to de-excite back to a lower level.
And it shoots out a photon in so doing.
So this is what atoms just want to do.
If you excite them, they want to de-excite.
We got this.
So let's go back to our atom and we have an electron
hanging out in an energy level.
Now, I send in light photons that are exactly
the energy level that'll boost this up.
So it's gonna absorb those and take them up, okay?
It's gonna do that.
However, here's what he discovers.
That if you bathe an atom with an electron
at a given level of photons that would boost it,
it will also spontaneously trigger it to de-excite.
At the same time. Yes! Exciting and de-excite. At the same time.
Yes!
Exciting and de-exciting.
No, no, no, I mean, it will, it will, not all the,
all the photons will not go to just boost it.
Gotcha.
Being in that bath will also de-excite it.
For, for, there's no, there's no classical understanding
of that, okay?
So it's the stimulated emission of radiation.
Normally when you stimulate it, it absorbs it.
This one, you shine on it, it de-excites.
Okay, that's a weird result.
It's a quantum result that he deduces
using math and quantum physics.
And what do we get out of this?
Well, we get lasers.
Lasers!
You say that so calmly, we got lasers. Lasers!
You say that so calmly.
We get lasers.
We get lasers.
I'm going to pull your hair.
Pull some.
You grab some more.
So it's really an interesting history because there were also masers before lasers, which
were microwave versions of this.
Joe Weber, who wanted to study gravitational waves, was working on masers and they were completely
overrun by the laser.
So give us the full acronym.
Microwave amplitude stimulated emission resonance or something.
Laser stands for.
You get a C minus on that one.
Laser stands for look and stare experience regret.
Oh, very good on the spot.
Or it's like remember George Costanza with the laser pointer? Look and stare, experience, regret. Oh, very good on the spot.
Or it's like, remember George Costanza
with the laser pointer?
So it's like, look, a Seinfeld episode reference.
Oh, hey, this guy's good.
That's very good.
That's very good.
From here on, let us call it.
So the laser is an acronym, like scuba
and all these fun acronyms.
Laser. Laser, light amplification.
Amplification.
By the stimulated emission of radiation.
And those are the three words in his paper.
I did a real bad job.
So light would be.
He has a sir of laser.
So it'd be visible light.
But it works with any kind of photons.
Microwaves, it turns out it's easier
to make a microwave laser.
Microwave amplification by the stimulated emission of radiation.
So this was, this is just some paper he does
like while he's taking a crap, right?
And publishes it, and then.
His poop paper.
And then third, I don't know if he was actually on the toilet.
He was experiencing some Brownian motion, if you will.
Oh, stop! Kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk A Brownian movement, yes. So that, for me, that's my favorite.
Is it? Of his crumbs.
Of his crumbs.
Interesting.
I mean, it's an unbelievable technological advance.
It's incredible, it's everywhere.
Yeah, because the amplification is,
if you emit light in this bath of light,
and that light you emit is the same light
when brought around that will de-excite it
and emit a photon.
So it's almost self-feeding.
The light that it emits is the same light
that it then absorbs.
So this loop, you can pump light that way
with the right number of molecules in the right cavity.
Oh my gosh. And it becomes very coherent and very tight beam
and very intense.
So it's a way of getting this incredible intensity
at this one very narrow frequency range or light range.
Yeah.
And so at the time I'm sure he was saying to himself,
skin peel.
Right, I was like, I'm gonna have the laser.
Yeah, I mean the application of laser were, oh my God.
So the people who invented the laser,
I think it was Charlie Towns, got a Nobel Prize for that.
Wow, did he expect it to be in like a Walmart?
Yeah, I know, at the checkout line.
Yeah, no, the first lasers were huge.
And so just the idea that here's a paper
that 30 years later becomes a device
and the device gets the Nobel Prize.
Incredible.
Do you know when Townes got the Nobel Prize?
So the laser was invented in 1956, 57,
and Einstein died in 1955.
So he would not have seen.
He was so close to seeing the laser.
So close, so close.
And they were gonna operate on him
because he had some element that was.
With a laser?
No, no, stop.
No, no, stop.
And he said, he was already in his 70s or something,
he said, my work is done.
Did he really?
Yes, I thought that was classy.
He was just scared of medical care.
Wow, I mean he was still so combative
with quantum mechanics.
I find it fascinating.
Which one, the God Does Not Play Dice?
God Does Not Play Dice.
There are others.
And then was it Niels Bohr who said back to him,
another physicist, Einstein stopped telling God what to do.
It was one of several times he talked about God
and God's intentions because quantum physics
is fundamentally statistical.
It does not describe a unique objective reality.
It only describes a statistical reality.
And this felt very bad to Einstein,
even though he made significant contributions
to quantum physics.
This feels like a trend though,
because Newton also was like, I don't know, God. So a couple of fast other ones.
So he predicts out of general relativity that certain phenomenon should produce ripples
in space-time continuum, gravitational waves.
Right, gravitational waves.
So he says, look, if the Earth can curve space-time,
if the Sun can curve space-time
so that the Earth falls around the Sun,
then if these systems move around,
the curves have to move too.
So the curves themselves have to modulate like waves,
and he predicted something called gravitational waves,
which are these silent waves in the shape of space time.
And they are not visible, it's not light.
It's pure gravity, it's not light.
But if you saw something, you could see it bobbing
on the wave as its path changed around and moving out.
So if the sun decides to do something crazy,
we would know eight minutes later when the wave got to us.
So I think I have this right.
There is a cottage industry rising up in astrophysics
where they're looking at the pulsars in the galaxy.
Pulsars are very fast rotating stars
that have extremely precise timing.
Precise.
So if there's a gravitational wave not coming towards us
but passing across our field of view,
we can see the effect of the turbulent space-time wave
on the timing of the pulsar as it goes through the wave.
And then you can see them move across the universe.
They'll bobble around, they're like buoys on the ocean.
Yes, you'll see this effect as that happens.
And so it's like, whoa.
He wrote many papers where he thought they didn't exist.
So he really struggled with whether or not these.
He headed his nuts there.
I know black holes exist, but maybe.
Well, gravitational waves were really confounding,
whether they carried energy or were real
in a substantive way or was just,
oh, I'm just changing my coordinates.
It's just, it's not physically real.
There's no physical impact.
This was confounding for decades.
He once would write, he wrote papers where he said
they do not exist, they would be accepted for publication,
and in the space between publication and sending it to press,
he would change the entire paper and say they do exist.
In the space between it being accepted
and going into print.
Yes, between it being accepted and going into print.
He would change the entire conclusion,
rewrite the paper, and say they do exist.
He's getting his best.
He wants to be right no matter what.
Both papers.
Right, right, right.
So then we decide maybe we can detect some of these,
and Kip Thorne, who was a guest on our show,
we took Star Talk to him, because he's Kip Thorne. We moved the mountain to Kip Thorne, who was a guest on our show, we took Star Talk to him, because he's Kip Thorne.
We moved the mountain to Kip Thorne.
We went to his home office in Pasadena.
He's a professor at Emeritus now, I think, at Caltech.
And we talked about Interstellar,
because he was an executive producer on Interstellar.
He wrote the original treatment.
It was like his dream idea.
He did write the original treatment.
He brought on Christopher Nolan to realize those views.
It wasn't the other way around.
So he petitions Congress and the National Science Foundation
and other agencies to, and with a lot of support
from other physicists and the like,
to build the first gravitational wave detector.
And it's built, it's called LIGO,
Laser Interferometer Gravitational Observatory, LIGO,
sensibly abbreviated LIGO.
And they made it really sensitive to this,
they have two lasers that go off at right angles,
and if a wave washes over Earth,
the length of one laser path will change
relative to the other.
They make this measurement,
bada bing, they found the first colliding black holes,
which deposited so much energy into the space-time continuum
that we have a chance of measuring it.
Yeah, I mean it was the most powerful event
humanity's ever observed since the observation
of the Big Bang itself.
More energy came out of this.
All in gravitational waves.
In utter darkness.
Utter darkness.
And yet, the power was greater than all the stars
in the observable universe combined at that moment.
But it all came out just in ringing space, literally.
So darkness could not see it with a telescope.
And so, think about it.
I love the look on your face, thank you for that.
He's looking back and forth like, well, that's good.
I'm trying to think of anything else
that would be more powerful than those stars combining.
I'm stuck at Taylor Swift and Travis Kelso.
When those stars came together, we all felt it.
That was a moment.
It was a tectonic shift.
So, we discover gravitational waves.
That won a Nobel Prize.
But more so, we discover gravitational waves using lasers.
Okay?
His crumbs connected.
His crumbs came together and made a big smorgasbord
of science and physics and Nobel prizes
for everybody on board.
So can you get more amazing than that?
I mean, I don't.
The detection was essentially in the centenary too.
Yes, it was in 2015.
100 years.
100 years after his gravitational wave papers.
Oh man.
Yeah.
That's Einstein has something to do with that.
I mean, his magic.
Einstein totally had something to do with that.
Now, Janna, memory serves,
Einstein was a big proponent of a unified field theory.
And when I first heard that, when I was a kid,
field, what do you mean by field?
I didn't know that field was synonymous with forces.
So we have gravitational force, electromagnetic force,
which in its day was the electric force
and the magnetic force.
And then the force.
And.
Ha ha ha.
I've seen Star Wars.
No, maybe they figured it out.
They got the one force, you know.
So with the work of Heinrich Hertz and others,
we figured out how to combine electricity and magnetism
to make one force.
And we take that word for granted,
but they used to be two whole separate words.
Electromagnetic force.
So, Einstein, why did he fail at this?
Or what was motivating him?
Well, we've all failed at this.
So, there's great success in unifying
all of the matter forces, all of the quantum matter forces, electromagnetism,
with the weak nuclear force and the strong nuclear force.
That's the whole story of matter, done.
Completely sealed.
There's an outlier.
Yeah, but they're not combined.
So the electroweak theory is combined.
Weak and electromagnetic.
So we went from electricity, magnetism,
and the weak nuclear force.
Then we got electromagnetism,
and then with my guy from my high school.
Right.
Which guy from your high school?
What?
Steve Weinberg and Sheldon Glashow.
They and who's the-
What was this high school?
No, no, yeah.
Who was the third one in there?
Salam, Abu Salam.
Abu Salam, right, that's correct.
So the three of them, two of them were classmates
in my high school, before me, but in my high school.
Anyhow, they- There was something in the water there Anyhow, they managed to conjoin the electromagnetic force
and the weak force, and they called it what?
Electroweak.
Okay, that's not very creative, but all right,
we'll go with it.
But it is pretty magical.
It says that those are really one force, which is magical.
Something that is nuclear ranges
that we do not experience in our everyday life.
That's manifesting as separate forces today.
You go back in time, there's a point where they were
just one expressed force in the universe.
So that gives us electroweak, strong force, and gravitation.
Yeah, now the strong easily can get in there,
even though we don't talk about it very much anymore.
What do you mean easily?
If you did that, you'd have a Nobel Prize now.
Well, there's something called the Grand Unified Theories,
and they have certain failures.
There isn't like an ideal Grand Unified Theory,
but really, there's nothing barring the possibility of it.
I mean it's not.
There's no fundamental obstacle
to a grand unified theory.
Most people think it's gonna come along for the ride
when we do the full unification.
So when Einstein said a unified field theory,
was he thinking just that
or was he also wanna include gravity?
He wants gravity.
He wants gravity.
He wants gravity and it's the same thing he did
when he went from special to general,
when he started thinking about quantum mechanics,
he wants a quantum theory of gravity.
But gravity behaves so differently from the other forces.
Because you can think of gravity not even as a force,
but as the just falling down the curvature of space and time.
It's geometry.
It's geometry, it's not really a force.
So that could be a barrier to summing these together.
Nobody's ever succeeded at even.
So how about Kip Thorne, does he have some ideas here?
Oh, well, I mean Kip has endless ideas.
Yeah, he does.
And I think.
Interstellar too.
Yes.
I think Kip's ambition is for, yes,
a universe that would be completely comprehensible,
which would mean we either understand quantum gravity
or we understand that gravity is not fundamental.
Those are the two kind of choices.
That everything's quantum mechanics.
Now I don't know that kids.
Yeah, quantum mechanics is the most successful idea
we've ever had about anything in the universe.
I don't think any prediction has ever failed.
No, and to the largest number of decimal points
of any scientific theory in the history of time.
Whereas general relativity, as badass as it is,
we know where its limits are.
Like at the center of a black hole is a singularity.
It gives you a singularity in the equations.
And I don't know what, that's where you say,
where God is dividing by zero.
I mean, you're not supposed to divide by zero.
Yes, bad.
Well, even Roger Penrose, who talked about the singularity
in his Nobel Prize winning paper.
Nobel laureate of recent years.
Even in that paper, he says,
I don't really think this part's gonna survive.
He really says, quantum mechanics
will probably get rid of the singularity.
So it was, but it hasn't,
but it hasn't done any of the things
it was supposed to do around gravity.
It's kind of.
More crumbs.
More crumbs.
Await the attention of brilliant people.
Yes.
Either walk among us or are yet to be born.
I'm just gonna throw in,
because this is very relevant to this,
wormholes, which Einstein talked about,
the Einstein, Rosen, Bridges,
which ultimately give rise to wormholes,
might be involved in understanding
that things like black holes and gravity
aren't fundamentally real,
they're just sort of embroidered out of quantum wormholes,
and so it might really be another one of Einstein's crumbs.
Embroidered out of quantum wormholes, and so it might really be another one of Einstein's crumbs. He has some embroidered out of quantum wormholes.
And not real. Like threads.
So more crumbs from Einstein to come.
Wow. Wow.
Is anybody, is there, has there?
Keep your eyes on wormholes.
Is there any other scientist that,
is that a Messian eater, so to speak?
Has anybody else left?
Isaac Newton was badass, too.
Okay.
In fact, I think if Isaac Newton were
a contemporary of Einstein,
he would have done everything Einstein did, and more. Whoa. I'm a Newton guy. Okay. Yeah, you're if Isaac Newton were a contemporary of Einstein, he would have done everything Einstein did and more.
I'm a Newton guy.
Yeah, you're a real Newton guy.
Yeah, you gotta give me something here.
I'm a Newton guy.
I mean, calculus is pretty impressive.
That's pretty good.
Yeah, just on a dare.
It's like, why are your orbits moving in ellipses
rather than circles?
And he said, I don't know, let me get back to you on that.
I'm gonna eat an apple.
Let me go back, and here's why, and well, how did you do it?
Well, I had to invent integral and differential calculus
to show that.
Okay, Isaac, we're good.
So if you'll indulge me just for a moment,
I need to reflect on our conversation.
Love me some mathematics.
Why? It was early on when I learned Love me some mathematics.
Why? It was early on when I learned,
when I wanted to be an astrophysicist,
that the language of the universe is mathematics.
Now that's an extraordinary fact
because we just invented mathematics out of our heads.
The history of math is filled with examples of,
I don't know how that works,
let me invent a way to calculate with it
so that I can figure out how it works.
Thus is the rise of arithmetic and algebra
and trigonometry and calculus.
All of this helps us commune with the cosmos.
But what makes it even more extraordinary
is you start out with an idea of how the universe works,
but you can't manipulate that idea
because you're stuck with using only words.
If you make a mathematical representation of that idea,
then you can manipulate that idea
using the perfect logic of mathematics.
And by doing so, you can extend the idea
in places you didn't even know the idea could go.
Because you're extending it with perfectly logical steps
from the map of that idea
into the world of mathematics.
The fact that that works for us at all
leaves me in awe of not only the existence of mathematics,
but of the human mind that took us there.
And here we have, in the likes of Albert Einstein,
laying down a physical idea of how the universe works,
attaching a mathematical model to it,
and the rest of us run with that mathematical model.
Crumbs from Einstein's plate,
leading to Nobel prizes that at some level
should have all gone to him.
My boy should have had eight, nine, 10 Nobel prizes.
But he's sharing his genius with the rest of us
in these, the 20th and 21st centuries.
More to come from Einstein's crumbs.
And that is a cosmic perspective.
So, Janet, thank you for helping out here.
Thanks, I'm always glad to be here.
And you have a podcast, tell me.
Oh, right, Joy of Why.
I love that, Joy of Why.
That's a beautiful title.
Yeah, Quantum Magazine.
So the story is, my friend Steve Strogaetz,
who's the original host of the show,
it's by Quantum Magazine from the Simons Foundation,
wonderful science magazine.
His book was called The Joy of X, Mathematician,
and I thought it was a brilliant title,
and so the show was originally called Joy of X.
Actually, I have a book here called The Joy of Lex,
which is all about language and words.
There's another one I think called The Joy of Sex.
That started it all, yes, okay.
Yeah.
Yes, that was the original.
So Steve and I co-host the show, it's a lot of fun.
We deep dive hardcore physics.
Excellent. Biology, computer science, math.
And the Simons Foundation from Jim Simons,
the very successful Wall Street trader.
I think he's the most successful
Wall Street trader there ever was.
His original quant.
His background in math and physics.
A brilliant mathematician and an accomplished mathematician.
We still use his mathematical results
and theoretical formulas.
I took it right on his yacht.
It was called the Archimedes.
Nice.
That's classy.
Jim was the best.
All right, I think we did justice to his crumbs here.
Oh my gosh.
Thanks so much guys, always fun.
Yeah, thanks for filling in those gaps
and taking us to the next step.
And Harrison, you're on the road with your routine.
Yes, I have my comedy magic show.
We've been off Broadway, I'm taking it on the road,
and I'm doing a standup all over the country.
Harrison.
HarrisonGreenbaum.com.
.com, we'll look for it, all right.
This has been Star Talk, the Einstein Crumbs edition.
Neil deGrasse Tyson here, as always, I bid you,
keep looking up.