Latest / Daniel and Kelly’s Extraordinary Universe / Listener Questions: the expanding observable Universe, what it's like to be a photon and the age of the Universe
Transcript
- 0:09Speaker 1: It's not easy to hold an entire universe inside your head.
- 0:14Speaker 1: I mean, that's a whole lot of planets and stars,
- 0:17Speaker 1: and I hope aliens to squeeze into a few pounds
- 0:21Speaker 1: of brain matter. Instead, we try to whole date model
- 0:25Speaker 1: of the universe in our minds. But you know, even
- 0:29Speaker 1: that is hard because it turns out that the rules
- 0:32Speaker 1: of the universe are pretty different from the rules of
- 0:35Speaker 1: rocks and trees and water and all the things we're
- 0:38Speaker 1: familiar with. You've got relativity and the expansion of space
- 0:42Speaker 1: and things moving and light speed and all that jazz.
- 0:45Speaker 1: So it can be quite a challenge. And when we
- 0:48Speaker 1: try to bring all these crazy ideas into our minds,
- 0:51Speaker 1: sometimes things don't quite fit together. But trust me, it
- 0:56Speaker 1: actually does make sense, and it can make sense to you. Hi.
- 1:16Speaker 1: I'm Daniel. I'm a particle physicist, and I've spent a
- 1:19Speaker 1: lifetime trying to import a model of the universe into
- 1:23Speaker 1: my brain. I spent a lot of time thinking about
- 1:26Speaker 1: how the universe works and making sure that I understand
- 1:29Speaker 1: what's going on looking at it, from the tiniest little
- 1:32Speaker 1: particles to the huge cosmic scales of the universe. I
- 1:36Speaker 1: want one single idea which explains everything. I want to
- 1:40Speaker 1: have a coherent understanding of everything that's going on out there,
- 1:44Speaker 1: and I believe, without evidence, without any reason to believe this,
- 1:49Speaker 1: I do believe that the universe does make sense. I
- 1:52Speaker 1: believe that we are capable of understanding some fraction of it,
- 1:56Speaker 1: at least, that human mathematics and philosophy are able to
- 2:00Speaker 1: build constructs in our mind which can map onto that
- 2:04Speaker 1: external universe and explain it to us in a way
- 2:07Speaker 1: that we can manipulate it and understand it and examine it.
- 2:11Speaker 1: I don't know if we're capable of understanding the entire
- 2:13Speaker 1: universe at all of its incredible glory, if we are
- 2:16Speaker 1: smart enough, if we will ever develop the mathematics, indeed,
- 2:20Speaker 1: if our mathematics are even capable of describing the entire universe.
- 2:25Speaker 1: But I do know it's worthwhile, So welcome to the
- 2:28Speaker 1: podcast Daniel and Jorge Explain the Universe, in which we
- 2:32Speaker 1: attempt to take our current knowledge of the state of
- 2:35Speaker 1: the universe and download it all into your brain. We
- 2:38Speaker 1: talk about everything that we do understand, and we love
- 2:41Speaker 1: to talk about the things that we do not yet understand,
- 2:45Speaker 1: because even the smartest of human physicists do not have
- 2:47Speaker 1: a complete model of how the universe works in her brains.
- 2:51Speaker 1: We are still working on that. There are still pieces
- 2:53Speaker 1: that do not fit together. We have ideas from lots
- 2:56Speaker 1: of different physicists, and sometimes we can mail them together
- 3:00Speaker 1: into one coherent theory, and sometimes they just do not
- 3:03Speaker 1: play nicely. And we're still hard at work trying to
- 3:07Speaker 1: get an understanding of the universe. But it's those scientists
- 3:10Speaker 1: asking those questions, trying to make one theory of the universe,
- 3:14Speaker 1: trying to understand how everything out there can make sense
- 3:18Speaker 1: to our tiny little brains. That is what is driving
- 3:22Speaker 1: science forward. If you are not an active scientist, you
- 3:25Speaker 1: might have the impression that science just sort of rolls
- 3:27Speaker 1: forward on its own, results being produced year after year
- 3:31Speaker 1: as we push back the darkness and illuminate the universe
- 3:34Speaker 1: with our ideas. But in fact, science is not a
- 3:37Speaker 1: monolithic institution. It's very personal. It's all about individual people
- 3:42Speaker 1: asking questions. It's because that little girl grew up and
- 3:45Speaker 1: really needed to know how stars are formed. It's because
- 3:49Speaker 1: that little boy really wanted to understand how the universe
- 3:53Speaker 1: was expanding. It's because this person over here really wanted
- 3:56Speaker 1: to know the smallest things about the universe. It's into
- 4:00Speaker 1: a dual people asking their personal questions about the universe
- 4:04Speaker 1: and spending their life trying to find those answers. That's
- 4:07Speaker 1: how science moves forward. That is how we develop new
- 4:11Speaker 1: understandings of the universe, and that is also how you
- 4:15Speaker 1: developed new understandings of the universe by asking questions. And
- 4:19Speaker 1: one thing we love on this podcast are your questions
- 4:22Speaker 1: because we celebrate that kind of curiosity. The same curiosity
- 4:26Speaker 1: to drive signs forward also drives you to understand the universe.
- 4:30Speaker 1: And you'd be surprised how often the questions you have
- 4:33Speaker 1: in your mind are the very same questions that scientists
- 4:37Speaker 1: are asking. And so we want to bring you all
- 4:40Speaker 1: the way up to the forefront of scientific knowledge and
- 4:43Speaker 1: make sure you understand what scientists are puzzled about and
- 4:46Speaker 1: what they have figured out. So Jorge is not here today,
- 4:49Speaker 1: so I'll take the opportunity to be answering some of
- 4:52Speaker 1: your questions about the universe. And today we have a
- 4:55Speaker 1: doozy of an episode for your folks. It's all about
- 4:58Speaker 1: time and space in the expansion of the universe and
- 5:01Speaker 1: how that can all make sense, and it's going to
- 5:04Speaker 1: require you to bend your brain a little bit to
- 5:07Speaker 1: accept that the universe operates in a way that is
- 5:09Speaker 1: very unexpected and very unusual and has very weird consequences. Remember,
- 5:15Speaker 1: we live in a universe that's very different from the
- 5:18Speaker 1: one that we thought we lived in just five ten
- 5:20Speaker 1: thousand years ago, and only in the last hundred years
- 5:24Speaker 1: have we revealed these deep and fascinating truths about the universe,
- 5:27Speaker 1: which frankly upend every idea we had about how things
- 5:31Speaker 1: move and what things mean, and what distance and time
- 5:33Speaker 1: and velocity even are man And so we expect that
- 5:37Speaker 1: in the future there will be more revelations, but until then,
- 5:40Speaker 1: a lot of us are still catching up with some
- 5:43Speaker 1: of the crazy, bonkers ideas that science has so far revealed.
- 5:48Speaker 1: So today on the podcast, we'll be doing listener questions
- 5:56Speaker 1: about space and time and the whole universe Earth, And
- 6:01Speaker 1: so don't forget that you two can get your questions answered.
- 6:04Speaker 1: If you write to me two questions at Daniel and
- 6:07Speaker 1: jorgead dot com, you'll get an answer, and you might
- 6:10Speaker 1: even get your question on the podcast. So, without further ado,
- 6:14Speaker 1: let's get to the first listener question from Chris Hey.
- 6:17Speaker 1: Daniel and Jorge. I've heard that as light travels from
- 6:20Speaker 1: the edges of the universe over time, that more of
- 6:23Speaker 1: the universe is visible today than yesterday because the light
- 6:26Speaker 1: from farther away has had time to reach us. But
- 6:29Speaker 1: also that the universe expands away from us at faster
- 6:33Speaker 1: than the speed of light depending on how far away
- 6:35Speaker 1: it is. In the far future, we wouldn't be able
- 6:37Speaker 1: to see even the light from our closest neighboring galaxy.
- 6:41Speaker 1: How can both of these facts be true? Thank you?
- 6:44Speaker 1: I love the podcast. Thank you Chris for this wonderful question.
- 6:48Speaker 1: At first, I'd like to point out that I love
- 6:50Speaker 1: hearing the way Chris is doing physics. He's heard one thing,
- 6:53Speaker 1: he's heard something else, and he is trying to fit
- 6:56Speaker 1: those two ideas in his mind together. He wants to
- 6:59Speaker 1: unify understanding of the nature of the universe, not just
- 7:02Speaker 1: two cools owning ideas. He wants it all to gel
- 7:06Speaker 1: in his head. And that's what everybody should be doing.
- 7:08Speaker 1: When you hear an idea about science or read some
- 7:10Speaker 1: news article, you should ask yourself, Huh does this make
- 7:14Speaker 1: sense to me based on other things I've heard? How
- 7:16Speaker 1: does it fit together with what I understand, and it's
- 7:20Speaker 1: by doing that that you build an ever larger constellation
- 7:23Speaker 1: of ideas in your mind that are all fitting together
- 7:26Speaker 1: and giving you a unified understanding of the universe out there.
- 7:30Speaker 1: So let's talk about Chris's question. He wants to understand
- 7:34Speaker 1: two different ideas. One that our observable universe, the part
- 7:39Speaker 1: of the universe that we can see, seems to be
- 7:42Speaker 1: growing because as time goes on, light has had enough
- 7:45Speaker 1: time to get to us, so we can see deeper
- 7:47Speaker 1: and deeper into the universe. That is true. And he
- 7:50Speaker 1: also wants to understand how the fact that the universe
- 7:54Speaker 1: is expanding means that things near us will in the
- 7:58Speaker 1: future no longer be visit bowl, which is also true.
- 8:02Speaker 1: And so let's unpack these two different ideas. First, let's
- 8:06Speaker 1: make sure we understand exactly what is meant by the
- 8:09Speaker 1: observable universe, this first part of his question. So at first,
- 8:12Speaker 1: let's just simplify things and assume that we were dealing
- 8:15Speaker 1: with the universe where there is no expansion of space,
- 8:17Speaker 1: so we don't have to worry about that for now,
- 8:20Speaker 1: and just think about this question of the observable universe.
- 8:23Speaker 1: What does that mean? Well, in the end, It comes
- 8:26Speaker 1: down to the fact that light takes time to get somewhere.
- 8:30Speaker 1: Something happens on Andromeda, which is millions of light years away,
- 8:34Speaker 1: you don't see it immediately. In fact, Andromeda could get
- 8:37Speaker 1: attacked by aliens and totally blown up. We would not
- 8:40Speaker 1: see that happen for millions of years. The fact that
- 8:43Speaker 1: light does not move instantaneously means we can't see infinitely
- 8:46Speaker 1: far out there, because there could be something out there.
- 8:49Speaker 1: There almost certainly is something out there galaxy so far
- 8:53Speaker 1: away that light has not yet had time to get
- 8:56Speaker 1: to us through the whole history of the universe. Imagine
- 8:59Speaker 1: that a photon created in the very very beginning of
- 9:02Speaker 1: the universe sent towards us, traveling for billions of years
- 9:07Speaker 1: and still still not having arrived, still needing to fly
- 9:11Speaker 1: through space to get to us. And so this portion
- 9:14Speaker 1: of the universe where light has had time to get
- 9:16Speaker 1: to us, that's what we call the observable universe. It's
- 9:19Speaker 1: not really a physical thing. The edge of the observable
- 9:23Speaker 1: universe is just defined by where we are and the
- 9:26Speaker 1: age of the universe. It's centered literally around us, like
- 9:29Speaker 1: our heads. If we lived on Jupiter, the observable universe
- 9:33Speaker 1: would be centered at Jupiter. If we lived at Proximus Centauri,
- 9:37Speaker 1: the observable universe would be centered at Proximus Centauri. And
- 9:40Speaker 1: aliens living in another galaxy have a very different observable
- 9:44Speaker 1: universe because light needs time to get to them, right,
- 9:48Speaker 1: So you could have different, partially overlapping observable universes if
- 9:52Speaker 1: you're observing it from different places. And the size of
- 9:55Speaker 1: the observable universe grows every year because every year you've
- 9:59Speaker 1: a loud more time for light to get to you
- 10:03Speaker 1: from those distant galaxies. And so in a universe that's
- 10:06Speaker 1: not expanding, the observable universe grows by one light year
- 10:10Speaker 1: in radius every year, and so if you wait, the
- 10:14Speaker 1: observable universe gets bigger and bigger, and you've had time
- 10:16Speaker 1: for that light to get to you from further and
- 10:18Speaker 1: further places. And so what's at the edge of the
- 10:21Speaker 1: observable universe. The edge of the observable universe is the
- 10:25Speaker 1: oldest light that we can see. And in the universe
- 10:28Speaker 1: that's not expanding, that's not actually light from the very
- 10:31Speaker 1: very early universe. Because in the very early universe, everything
- 10:35Speaker 1: was hot and nasty and interacting with each other it
- 10:38Speaker 1: was a big, crazy plasma sort of like the inside
- 10:41Speaker 1: of our sun, and so any light that was created
- 10:44Speaker 1: then was also we absorbed almost immediately, and so it
- 10:48Speaker 1: doesn't exist any longer. The oldest light that we can
- 10:51Speaker 1: see comes from the cosmic microwave background, this moment when
- 10:54Speaker 1: the plasma cooled so that it became transparent, and then
- 10:58Speaker 1: light created in that moment. Could they fly free through
- 11:01Speaker 1: the universe. So the oldest light we can see comes
- 11:04Speaker 1: from the first moments that his cosmic microwave background radiation
- 11:08Speaker 1: was created. So we can't actually see light from the
- 11:10Speaker 1: very very earliest universe, all right. So that's the concept
- 11:14Speaker 1: of the observable universe, and it seems to make sense
- 11:16Speaker 1: that as time goes on we can see further and
- 11:19Speaker 1: further out. But there's this other thing going on at
- 11:23Speaker 1: the same time the universe is expanding. You might have
- 11:26Speaker 1: in your mind this idea of the Big Bang is
- 11:28Speaker 1: like an explosion. A lot of people think of the
- 11:30Speaker 1: Big Bang is like a tiny dot of stuff the
- 11:33Speaker 1: whole universe swished down to an atom, which then explodes
- 11:36Speaker 1: and moves through space. But the modern idea of the
- 11:39Speaker 1: Big Bang is actually quite different. It's that the universe
- 11:42Speaker 1: was infinite and always has been infinite, and that the
- 11:45Speaker 1: singularity wasn't a single point in space, but it was
- 11:48Speaker 1: a singularity in density. That is, the universe was very
- 11:52Speaker 1: hot and dense everywhere, and the Big Bang was an
- 11:55Speaker 1: expansion of that. Density is stretching of space itself, so
- 12:00Speaker 1: not stuff moving out from a little dot through space,
- 12:03Speaker 1: but an expansion of space itself. That means that new
- 12:07Speaker 1: space is being created, and that expansion is still happening.
- 12:11Speaker 1: In fact, that expansion is still accelerating. That's what we
- 12:14Speaker 1: call dark energy. So the universe is expanding, by which
- 12:18Speaker 1: we mean new space is being created between stuff all
- 12:22Speaker 1: the time. And this new space is being created between
- 12:24Speaker 1: our galaxy and other galaxies for example, So the distance
- 12:28Speaker 1: between us and other galaxies can be increasing even if
- 12:31Speaker 1: we have no relative velocity, right, just like create new
- 12:35Speaker 1: space between them. So this is called the recession of velocities,
- 12:38Speaker 1: basically the rate at which the distance is increasing even
- 12:42Speaker 1: if you don't have relative velocity. Now, a lot of
- 12:44Speaker 1: people wonder a lot of second, is this new space
- 12:47Speaker 1: that's being created only out there between galaxies or is
- 12:50Speaker 1: it also here in our solar system? Why isn't the
- 12:53Speaker 1: Sun getting expanded away from the Earth, Why is it
- 12:56Speaker 1: Mars getting blown out of the Solar System. Well, this
- 12:59Speaker 1: process dark energy that's accelerating the expansion of space is
- 13:02Speaker 1: actually a very small effect per unit space, So like
- 13:07Speaker 1: in our Solar system, it's pretty weak, and gravity is
- 13:10Speaker 1: actually much much stronger, so it's strong enough to hold
- 13:13Speaker 1: the Solar system together. But dark energy adds up as
- 13:17Speaker 1: you get more space. Over distances, it adds up, so
- 13:20Speaker 1: you get more and more dark energy, for example, over
- 13:22Speaker 1: the scale of a galaxy. But galaxies are still strong
- 13:25Speaker 1: enough to hold themselves together. Even galaxy clusters are strong
- 13:29Speaker 1: enough to hold themselves together, we think. But between clusters
- 13:33Speaker 1: of galaxies and these much much larger distances, that's where
- 13:36Speaker 1: dark energy wins. That's where the expansion of space is
- 13:39Speaker 1: stronger than the local gravity and it's tearing things apart.
- 13:43Speaker 1: What does that mean for how far we can see
- 13:46Speaker 1: for this question of the observable universe, Well, what it
- 13:49Speaker 1: means is that we can actually see much further than
- 13:52Speaker 1: thirteen point eight billion light years away, which is the
- 13:55Speaker 1: age of the universe times the speed of light. The
- 13:58Speaker 1: reason is that we can see photons from stuff that's
- 14:02Speaker 1: now much further away because space has been expanded. Right,
- 14:06Speaker 1: something sent us a photon a long time ago. It's
- 14:09Speaker 1: flying towards us, and since then, that thing, that galaxy
- 14:13Speaker 1: or whatever, the bit of the CMB has been expanded
- 14:16Speaker 1: away from us, so it's now much much further away.
- 14:20Speaker 1: So we can see things now that are forty six
- 14:23Speaker 1: and a half billion light years away, and that's because
- 14:27Speaker 1: of the expansion. So on one hand, the universe is
- 14:31Speaker 1: tearing things away from us. On the other hand, it
- 14:34Speaker 1: means that we can see things which are now much
- 14:36Speaker 1: much further away than you would expect if the universe
- 14:40Speaker 1: is not expanding all right, So that means that we
- 14:43Speaker 1: have two things going on at the same time. One
- 14:46Speaker 1: is that we have more time for photons to get here,
- 14:49Speaker 1: so the observable universe is growing. On the other hand,
- 14:52Speaker 1: the universe is expanding faster and faster. So let's dig
- 14:56Speaker 1: into how those two things play off each other. What's
- 14:58Speaker 1: happening between us and a distance galaxy is that the
- 15:01Speaker 1: space between us is being expanded, So the distance between
- 15:04Speaker 1: us and that galaxy is getting bigger, and the further
- 15:06Speaker 1: away something is, the more bits of space are being
- 15:10Speaker 1: expanded and so the faster something is moving away from us.
- 15:13Speaker 1: So the further something is away from Earth, the faster
- 15:16Speaker 1: it's moving away from us. And this was Hubble's discovery. Actually,
- 15:20Speaker 1: this is just Hubble's law that this recession velocity grows
- 15:24Speaker 1: with the distance. The further you are away from us,
- 15:26Speaker 1: the faster you're moving away from us. And this can
- 15:29Speaker 1: actually add up to a speed moving away from us
- 15:33Speaker 1: faster than the speed of light. And remember this is
- 15:36Speaker 1: not motion through space. This is the expansion of space.
- 15:41Speaker 1: And while special relativity says nothing can move through space
- 15:44Speaker 1: faster than the speed of light, there's no limit how
- 15:47Speaker 1: fast space itself can expand. And their objects out there
- 15:51Speaker 1: whose distance is growing faster than the speed of light,
- 15:55Speaker 1: and what does that mean? Can we see those things?
- 15:58Speaker 1: This area of the universe is called the Hubble volume.
- 16:01Speaker 1: Things that are moving away from us less than the
- 16:03Speaker 1: speed of light are inside this Hubble volume, this Hubble sphere,
- 16:07Speaker 1: and things that are moving away from us faster than
- 16:09Speaker 1: the speed of light are outside the Hubble sphere. And
- 16:12Speaker 1: so you might imagine, I guess things that are outside
- 16:15Speaker 1: the Hubble sphere we will never see because they're moving
- 16:18Speaker 1: away from us faster than the speed of light. And
- 16:21Speaker 1: you might be wondering, what about these things outside the
- 16:24Speaker 1: hubble sphere, these things with a distance between us and
- 16:27Speaker 1: them is growing faster than the speed of light. Can
- 16:30Speaker 1: we see those things? Well, what happens if a photon
- 16:34Speaker 1: is emitted from those things while that photon starts moving
- 16:37Speaker 1: through space, but space is expanding, And if that space
- 16:41Speaker 1: is expanding faster than the speed of light, then it's
- 16:44Speaker 1: like Usain Bolt is running towards you, but somebody's putting
- 16:47Speaker 1: down new track faster than he's running. So the distance
- 16:50Speaker 1: actually grows between us and that photon. It's sort of
- 16:54Speaker 1: like the photon is moving towards us, but it's a
- 16:56Speaker 1: distance is growing, right, It's not moving away from us,
- 17:00Speaker 1: but the distance between us and that photon sent by
- 17:03Speaker 1: something whose distance to us is growing fast than the
- 17:05Speaker 1: speed of light. Our distance that photon is also growing,
- 17:09Speaker 1: all right. So you might think, well, we're just never
- 17:11Speaker 1: going to see those things. And this is a common
- 17:13Speaker 1: misconception because this hubble sphere, this point at which the
- 17:17Speaker 1: universe is moving away from us faster than the speed
- 17:20Speaker 1: of light, this actually is expanding. Right. As the universe expands,
- 17:24Speaker 1: so does the hubble sphere. So eventually this photon can
- 17:27Speaker 1: make some progress and the hubble spear catches up to it,
- 17:30Speaker 1: and then it enters a part of the universe that's
- 17:33Speaker 1: moving away from us less than the speed of light,
- 17:35Speaker 1: and so we can actually see those things. So because
- 17:39Speaker 1: that hubble spear itself is expanding, it means we can
- 17:42Speaker 1: see light from things that we're moving away from us
- 17:45Speaker 1: faster than the speed of light. But that's because the
- 17:48Speaker 1: hubble spear was expanding. The hubble sphere was expanding. But
- 17:52Speaker 1: around seven and a half billion years into the age
- 17:55Speaker 1: of the Universe, something happened. Dark energy took over and
- 17:59Speaker 1: started to accelerate the expansion of the universe to make
- 18:02Speaker 1: this expansion happen faster and faster, and that has the
- 18:06Speaker 1: effect of actually shrinking the hubble sphere. It means that
- 18:09Speaker 1: things are moving away from us faster and faster, closer
- 18:12Speaker 1: than they were before. Right, it's speeding up this expansion,
- 18:16Speaker 1: so you don't have to be as far away from
- 18:17Speaker 1: us anymore to be moving away from us at faster
- 18:20Speaker 1: than the speed of light. So this hubble sphere is
- 18:22Speaker 1: shrinking and shrinking and shrinking, and now there are things
- 18:25Speaker 1: that are so far away from us and moving away
- 18:28Speaker 1: from us so quickly that we will never see them.
- 18:31Speaker 1: And in fact, the hubble sphere itself is shrinking and
- 18:34Speaker 1: shrinking and shrinking, and if dark energy continues, then it
- 18:38Speaker 1: will shrink basically to zero. Almost all of the universe
- 18:42Speaker 1: would be moving away from us at faster than the
- 18:44Speaker 1: speed of light, making it invisible because we can only
- 18:48Speaker 1: see photons and things moving away from us faster than
- 18:50Speaker 1: the speed of light if the hubble sphere is expanding
- 18:53Speaker 1: and catches up with those things. But the hubble sphere
- 18:56Speaker 1: is now shrinking due to dark energy and the accelerated
- 19:00Speaker 1: spansion of the universe. So what's the furthest thing that
- 19:04Speaker 1: we will ever see. Well, currently we can see things
- 19:07Speaker 1: that are about forty six and a half billion light
- 19:09Speaker 1: years away. Photons from things that are now sixty two
- 19:12Speaker 1: billion light years away will eventually make it here. They'll
- 19:16Speaker 1: make it here just as space expands away to make
- 19:20Speaker 1: it impossible. Things that are further away will never catch
- 19:23Speaker 1: up to the hubble sphere. The hubble sphere is now shrinking,
- 19:26Speaker 1: so things that are sufficiently far away can never have
- 19:30Speaker 1: their light get to us because the hubble sphere is
- 19:32Speaker 1: shrinking and they will never catch it, meaning their photons
- 19:35Speaker 1: will travel through space towards us, but will never actually
- 19:39Speaker 1: get closer to us. So this is a great question.
- 19:43Speaker 1: Thank you very much Chris for asking this. The observable
- 19:46Speaker 1: universe is growing, but space is expanding even faster, and
- 19:51Speaker 1: so it's pushing things out past the edge of the
- 19:54Speaker 1: observable universe. And for most things, that means we will
- 19:57Speaker 1: never see them, and those things will disappear year and
- 20:00Speaker 1: in the far far future, most of the universe will
- 20:03Speaker 1: be dark. What remains to be seen is how much
- 20:06Speaker 1: of the universe can stay local to us. Can gravity
- 20:09Speaker 1: hold our galaxy together or will it get torn apart
- 20:13Speaker 1: by dark energy? Cannot hold our solar system together or
- 20:16Speaker 1: will dark energy tear that apart as well. The problem
- 20:19Speaker 1: is we just do not understand dark energy, and we
- 20:22Speaker 1: don't know how to predict its future, and so it's
- 20:25Speaker 1: very difficult to know exactly what the future holds. So
- 20:28Speaker 1: thanks for that really wonderful question. I want to answer
- 20:31Speaker 1: a couple of more questions, but first it's time for
- 20:33Speaker 1: a break. All right. We're back and we are trying
- 20:49Speaker 1: to import the entire universe into our minds. And understand
- 20:52Speaker 1: its expansion and the speed of light and what happens
- 20:55Speaker 1: when you move through the universe nearly at the speed
- 20:58Speaker 1: of light. And so there is from Norway has a
- 21:01Speaker 1: question about just that. Hello Daniel and her Head. Thanks
- 21:05Speaker 1: very much for a great show. I have three interesting
- 21:11Speaker 1: questions for you. The first is the speed of light
- 21:15Speaker 1: and the distances. As we know, the universe is so
- 21:20Speaker 1: huge that even for the light, it takes ages to
- 21:24Speaker 1: reach such a vast distanceance. But my question is actually
- 21:30Speaker 1: we know that the faster you go, the time for
- 21:33Speaker 1: you for some who who is observing you go slower.
- 21:38Speaker 1: So my question is what's the time of photons or
- 21:43Speaker 1: of the light? Does light have time? The second question
- 21:48Speaker 1: is if we can also reach such a huge distances
- 21:54Speaker 1: by having a very strong gravitation field very close to us,
- 22:00Speaker 1: for instance, to build a space shuttle that has numerous
- 22:04Speaker 1: black holes around, which should decelerate time for those observing us.
- 22:11Speaker 1: So this is the second question, and the third question
- 22:15Speaker 1: is concerning the gravitational waves. Does gravitation have the same
- 22:20Speaker 1: speed as the speed of light. So we know that
- 22:25Speaker 1: if we remove the Sun from the middle of our
- 22:29Speaker 1: solar system, then it will take like eight minutes to
- 22:34Speaker 1: realize there is no sun. But shall we continue for
- 22:39Speaker 1: eight minutes to spin around or it will be immediate disappearance.
- 22:45Speaker 1: Thank you all right, Thank you very much Andrews for
- 22:48Speaker 1: your enthusiasm about the universe and these fine questions. I'll
- 22:52Speaker 1: answer his other questions of email, but I want to
- 22:54Speaker 1: talk about this first question here on the podcast, this
- 22:58Speaker 1: question about what's the time for a photon? Do photons
- 23:02Speaker 1: experience time or are they frozen? This is a very
- 23:05Speaker 1: common question. I think there's some misunderstandings about it, and
- 23:09Speaker 1: there's some satisfactory and also sort of unsatisfactory answers that
- 23:13Speaker 1: I can give you. First, let's review what we know
- 23:15Speaker 1: about time and clocks. The basic thing to understand is
- 23:19Speaker 1: that moving clocks run slowly. What that means is that
- 23:23Speaker 1: if you're looking at a clock and it has velocity
- 23:25Speaker 1: relative to you, it will be moving more slowly than
- 23:29Speaker 1: a clock you are holding in your hands that has
- 23:31Speaker 1: no velocity relative to you. So moving clocks run slowly.
- 23:36Speaker 1: And there's a really key concept built into that statement,
- 23:39Speaker 1: which is that somebody has to be measuring that motion,
- 23:42Speaker 1: so motion is always relative. You can't say I'm on
- 23:45Speaker 1: a spaceship. I'm going near the speed of light. My
- 23:48Speaker 1: time must be running slowly because you have to talk
- 23:50Speaker 1: about your velocity as relative to somebody else. Somebody who's
- 23:54Speaker 1: measuring your speed and your time will only be running
- 23:58Speaker 1: slowly for that person, the person who is measuring you
- 24:01Speaker 1: to be moving quickly. Because if you're on the spaceship
- 24:04Speaker 1: and you're holding a clock and you're looking down, you're thinking,
- 24:07Speaker 1: I'm going super fast. Where's the relativistic effects. I want
- 24:11Speaker 1: to feel time go slow? Right. You never feel time
- 24:14Speaker 1: going slowly because your clock is always motionless relative to you. Right.
- 24:19Speaker 1: This is the clock that tells you how life is
- 24:22Speaker 1: being experienced, and it's not moving relative to you, so
- 24:25Speaker 1: it does not slow down. Somebody else on Earth who
- 24:28Speaker 1: is measuring your velocity to be very very high, they
- 24:32Speaker 1: do see your clock moving slowly. So there's that inherent disagreement.
- 24:36Speaker 1: You look at your clock, you say it looks normal.
- 24:39Speaker 1: They look at your clock and they say, well, you're
- 24:40Speaker 1: moving quickly. I see it running slowly, right, And so
- 24:44Speaker 1: there's this contradiction between what two different observers report, and
- 24:48Speaker 1: that's at the heart of relativity. It tells you that
- 24:51Speaker 1: observations are relative, right, that time itself is relative. So
- 24:56Speaker 1: then Anders wants to take this to the extreme, and
- 24:58Speaker 1: he says, well, say I'm in my spaceship and I'm
- 25:01Speaker 1: going at the speed of light relative to Earth. When
- 25:05Speaker 1: somebody looks at my spaceship, where they see my time
- 25:07Speaker 1: slowing down so much that it's almost stopped. And the
- 25:11Speaker 1: answer that, of course is yes. As you approach the
- 25:14Speaker 1: speed of light, your time goes slower and slower and slower,
- 25:17Speaker 1: And the closer you get to the speed of light,
- 25:19Speaker 1: the slower your clock goes. Again, according to the person
- 25:23Speaker 1: for whom you have that high speed, you don't have
- 25:25Speaker 1: a high speed relative to yourself, so you don't observe
- 25:28Speaker 1: that effect. So what happens if you do go the
- 25:31Speaker 1: speed of light? Does time actually stop? Right? Is something
- 25:35Speaker 1: moving at the speed of light like frozen in time?
- 25:39Speaker 1: So unfortunately, this is not a question we can really
- 25:41Speaker 1: answer in the satisfactory way because no spaceship with a
- 25:45Speaker 1: person and a clock and it can go at the
- 25:47Speaker 1: speed of light. Those things all have mass, and nothing
- 25:50Speaker 1: that has mass can go at the speed of light.
- 25:53Speaker 1: That's a fundamental rule. Light always moves at the speed
- 25:57Speaker 1: of light, no matter who is measuring it. But thing
- 26:00Speaker 1: that have mass, particles, people, lava, hamsters, nothing that has
- 26:04Speaker 1: mass to it can move at the speed of light.
- 26:07Speaker 1: So that means that you can't do that experiment and
- 26:10Speaker 1: see time stop for the ship moving at the speed
- 26:12Speaker 1: of light because the ship cannot move at the speed
- 26:15Speaker 1: of light. That's fine because and it's actually asked a
- 26:18Speaker 1: slightly different question. He said, what is time for a photon?
- 26:23Speaker 1: Because photons do move at the speed of light. Can
- 26:26Speaker 1: we think about what it's like to be a photon
- 26:29Speaker 1: or can we think about what time is like for
- 26:32Speaker 1: a photon? Unfortunately, this isn't a question that really has
- 26:36Speaker 1: a satisfactory answer because it's not something we really even
- 26:39Speaker 1: know how to measure. I mean, think about the measurement
- 26:42Speaker 1: we did where we had somebody on the spaceship. We
- 26:45Speaker 1: had their clock and we had our clock, and we
- 26:47Speaker 1: were comparing our clock and their clock. If we want
- 26:51Speaker 1: to think about a photons version of time, where's the
- 26:54Speaker 1: photons clock? Right? How do we compare our clock to
- 26:58Speaker 1: their clock? Basically we need in both frames to have
- 27:02Speaker 1: a clock that's stationary with respect to the object. So
- 27:06Speaker 1: when you were on the spaceship, you had a clock
- 27:08Speaker 1: that was not moving relative to you, And I had
- 27:11Speaker 1: a clock that was not moving relative to me, and
- 27:13Speaker 1: I was comparing your clock to my clock, and you
- 27:16Speaker 1: were moving quickly relative to me, So I saw your
- 27:19Speaker 1: clock running slowly. But a photon doesn't have a clock, right,
- 27:23Speaker 1: You can't put a clock in the photons frame. Another
- 27:27Speaker 1: way to think about this is that we could measure
- 27:30Speaker 1: time passing in the photons frame by having it passed
- 27:33Speaker 1: two stationary clock like put a clock on one side
- 27:36Speaker 1: of a track and on the other side of the track,
- 27:38Speaker 1: and fire a laser beam. And the way we measure
- 27:42Speaker 1: time on something that's going from one side of the
- 27:44Speaker 1: track to the other. As we look at the clock
- 27:47Speaker 1: that thing is holding, we asked how much time is
- 27:50Speaker 1: elapsed from the beginning to the end, And typically we
- 27:53Speaker 1: put two synchronized clocks, one of the beginning of the
- 27:55Speaker 1: race and one of the end of the race, so
- 27:57Speaker 1: we can compare it to the one that the thing
- 27:59Speaker 1: that's moving fast is carrying. But again, a photon cannot
- 28:03Speaker 1: carry a clock, right, I cannot hold anything. And in fact,
- 28:08Speaker 1: special relativity only deals with inertial frames, frames of reference
- 28:12Speaker 1: where you can measure things some way. You can have
- 28:14Speaker 1: things at rest or things in motion, but a photon
- 28:18Speaker 1: cannot have a frame. There is no frame of reference
- 28:22Speaker 1: for the photon. That's because a photon can't be at
- 28:25Speaker 1: rest with respect to anything. Anybody who measures a speed
- 28:28Speaker 1: of light will always find it to be moving at
- 28:31Speaker 1: the speed of light. There's no way you can like
- 28:34Speaker 1: catch up to a photon. I remember, a photon is
- 28:37Speaker 1: nothing but motion. It has no mass to it, so
- 28:41Speaker 1: if you caught up to a photon, it wouldn't be
- 28:43Speaker 1: anything anymore. So there is no frame of reference. You
- 28:47Speaker 1: can't do these special relativity calculations to transform yourself from
- 28:51Speaker 1: our frame to the photons frame and calculate how much
- 28:55Speaker 1: time has passed. It's a bit of an unsatisfactory answer
- 28:58Speaker 1: because while the limit special relativity as you approach the
- 29:01Speaker 1: speed of light seems to suggest that time stops at
- 29:06Speaker 1: the speed of light, actually doing these calculations at the
- 29:08Speaker 1: speed of light gives you nonsense answers, right, And what
- 29:12Speaker 1: that means is that essentially photons can't be observers. They
- 29:16Speaker 1: can't like make measurements about the universe. You can't calculate
- 29:20Speaker 1: what it's like to be a photon using special relativity,
- 29:23Speaker 1: because special relativity requires these frames of reference to have
- 29:27Speaker 1: an observer who's capable of making these measurements, and photons
- 29:30Speaker 1: just are not. And I totally understand that it's an
- 29:33Speaker 1: unsatisfactory answer. We'd like to say something awesome and cool,
- 29:37Speaker 1: like photons don't experience any time, and when they're born
- 29:41Speaker 1: in the Drameda, they're here the next moment, But really
- 29:44Speaker 1: that's not something that we can strictly say. We can
- 29:46Speaker 1: write science fiction novel about it, we can think it's
- 29:49Speaker 1: really cool, but we can't actually know what it's like
- 29:52Speaker 1: to be a photon. And if you're a science fiction
- 29:54Speaker 1: enthusiastic might be imagining, like, well, what if we had
- 29:57Speaker 1: a being who has made only out of photo potons?
- 30:00Speaker 1: Could you have a conscious observer made out of photons? Well,
- 30:04Speaker 1: these photons needs to be moving at the speed of light,
- 30:07Speaker 1: and photons don't interact with each other, so it seems
- 30:10Speaker 1: pretty incomprehensible to like build an intelligence or consciousness or
- 30:14Speaker 1: an observer out of these photons. And even if you
- 30:17Speaker 1: could remember, it would still have no frame of reference.
- 30:20Speaker 1: It couldn't measure anything in the universe. All right, Andrews,
- 30:23Speaker 1: thanks very much for that question. Unfortunately, we do not
- 30:26Speaker 1: know what it's like to be a photon. We cannot
- 30:29Speaker 1: strictly answer that question. We know that as you approach
- 30:32Speaker 1: a speed of light, your time seems to slow down
- 30:35Speaker 1: from the point of view of other people, but we
- 30:37Speaker 1: don't actually know what it's like to go at the
- 30:40Speaker 1: speed of light, and we don't even know if it's
- 30:42Speaker 1: like anything. Well, with that in mind, let's take another
- 30:45Speaker 1: break and I'm gonna dig into one more big question
- 30:48Speaker 1: about the universe. Alright, we're back and we're tackling the
- 31:04Speaker 1: biggest of questions today about the expansion of the universe
- 31:07Speaker 1: and the speed of light. And here's one about the
- 31:10Speaker 1: very age of the universe. Hi, then, Jorge, I may
- 31:13Speaker 1: do from Argentina, I have a question for you. So,
- 31:16Speaker 1: general relativity tells us that there is no absolute frame
- 31:19Speaker 1: of reference by which you can measure time. It always
- 31:23Speaker 1: depends on the observer. So if that's the case, how
- 31:28Speaker 1: can we mark the passage of time in such a
- 31:30Speaker 1: way that allows us to define the edge of the
- 31:34Speaker 1: universe as being thirteen point eight billion years old? What
- 31:39Speaker 1: is the frame of reference used to arrive to that
- 31:41Speaker 1: number and how can it change? If you choose another frame.
- 31:44Speaker 1: Thanks a lot, guys. All right, Eduardo, excellent question again.
- 31:49Speaker 1: Eduardo is trying to understand how two things can't fit
- 31:52Speaker 1: together in his mind. On one hand, we say all
- 31:56Speaker 1: the time, and I just said a few minutes ago,
- 31:58Speaker 1: that the passage of time depends on who is observing
- 32:02Speaker 1: the clock and what velocity is being measured, and who
- 32:06Speaker 1: is measuring that velocity. There is no absolute frame of reference.
- 32:09Speaker 1: On the other hand, we also say the universe is
- 32:13Speaker 1: thirteen four and eight billion years old, and there's been
- 32:15Speaker 1: a certain amount of time for a light to get
- 32:17Speaker 1: to us. For example, how can we talk about the
- 32:20Speaker 1: universe as having an age like one single number if
- 32:24Speaker 1: everybody's clocks are different, if there is no universal sense
- 32:28Speaker 1: of time. And really interesting consequence of relativity is that
- 32:32Speaker 1: you can't really talk about simultaneity of events if they
- 32:36Speaker 1: are separated in space. That the order of events of
- 32:39Speaker 1: things that are far apart can be different according to
- 32:42Speaker 1: your perspective. If you're moving fast or if you're moving slow,
- 32:46Speaker 1: if you're over here, if you're over there, you might
- 32:48Speaker 1: see A happen before B, and somebody else might see
- 32:51Speaker 1: B happen before A, and you can both be correct,
- 32:56Speaker 1: because in this universe, the order of things is not
- 32:59Speaker 1: necessarily nailed down if you're far enough apart. We dug
- 33:02Speaker 1: into this in a whole episode about a foot race
- 33:05Speaker 1: running really really fast near the speed of light, and
- 33:08Speaker 1: who wins the race depends on who is watching and
- 33:11Speaker 1: their velocity relative to the race, And so all of
- 33:15Speaker 1: this up ends the whole concept of having a single
- 33:18Speaker 1: age of the universe, which suggests a simultaneous event happening
- 33:23Speaker 1: all across the universe, all at once. And so Eduardo
- 33:27Speaker 1: is asking, is that possible? Does that make any sense?
- 33:30Speaker 1: And if it doesn't, then how do you define the
- 33:33Speaker 1: age of the universe. So the short answer is, Eduardo,
- 33:36Speaker 1: you're absolutely correct. The age of the universe is not
- 33:40Speaker 1: a fixed number. It does indeed depend on your frame
- 33:43Speaker 1: of reference or who is asking the question to think about, like,
- 33:47Speaker 1: the length of time that our universe has existed is
- 33:50Speaker 1: not even a number, right that it depends on who
- 33:54Speaker 1: is asking the question. And that's because the passage of
- 33:57Speaker 1: time does seem to depend on your beat. Right, Your
- 34:01Speaker 1: observation of how clocks are taking depends on how fast
- 34:04Speaker 1: those clocks are taking relative to You can't go all
- 34:08Speaker 1: the way to the speed of light, like we talked
- 34:09Speaker 1: about a minute ago. But you can get pretty dramatic
- 34:12Speaker 1: effects by going or of the speed of light. So
- 34:17Speaker 1: what does that mean. It means that like, something moving
- 34:20Speaker 1: really really fast relative to most of the rest of
- 34:23Speaker 1: the stuff in the universe will have its clock running
- 34:27Speaker 1: more slowly than our clocks, and if it ever slows
- 34:30Speaker 1: down and comes back into our frame of reference and
- 34:34Speaker 1: stops moving relative to us, it will seem younger than
- 34:38Speaker 1: everything else in the universe. And this is not something weird.
- 34:40Speaker 1: We observed this all the time. Take for example, a muan.
- 34:44Speaker 1: A muon is a sub atomic particle and it only
- 34:47Speaker 1: lasts for a few micro seconds before it decays into
- 34:50Speaker 1: electrons and other stuff. But we have muans which are
- 34:53Speaker 1: created in the upper atmosphere and make it all the
- 34:56Speaker 1: way down here to the ground. How is that possible
- 34:59Speaker 1: if mu wants only live for a few microseconds. Well,
- 35:02Speaker 1: the answer is that they're moving relativistically, and so their
- 35:05Speaker 1: clocks aren't running slower, and so when they get here
- 35:09Speaker 1: there are only a few microseconds old in their frame
- 35:11Speaker 1: of reference, right, and so they're like younger than they
- 35:14Speaker 1: otherwise would have been. They haven't aged as much as
- 35:17Speaker 1: they otherwise would have because relativity has kept them young.
- 35:21Speaker 1: And when they come down here to the service of
- 35:23Speaker 1: the Earth and they slow down and they stop, they
- 35:25Speaker 1: see the rest of the universe is sort of older
- 35:28Speaker 1: than they expect. So if you've been flying around, moving
- 35:32Speaker 1: really really fast relative to the rest of the stuff
- 35:35Speaker 1: in the universe for most of the life of the universe,
- 35:38Speaker 1: and then you slow down and you sort of hang
- 35:39Speaker 1: out with the rest of the stuff in the universe
- 35:41Speaker 1: and stop your motion, you will see the rest of
- 35:44Speaker 1: the universe is sort of surprisingly old. You will have
- 35:47Speaker 1: only lived for a billion years, for example, and you'll
- 35:49Speaker 1: be surprised to find the rest of the universe seeming
- 35:52Speaker 1: to be like fourteen billion years old. So there's an
- 35:55Speaker 1: idea and here that's been implicit in my answer that
- 35:57Speaker 1: I want to make explicit, which is the stuff in
- 36:00Speaker 1: the universe. Eduardo asks, if time is actually relative, then
- 36:05Speaker 1: how do we measure the age of the universe. Because
- 36:08Speaker 1: malogists have this idea of a proper time, they say, well,
- 36:12Speaker 1: everybody measures time differently, so let's just agree on a
- 36:15Speaker 1: definition of time as being according to a clock that's
- 36:19Speaker 1: stationary with respect to an object. So I can talk
- 36:22Speaker 1: about my proper time. It's the time measured by a
- 36:25Speaker 1: clock that I'm I'm holding. Somebody else moving fast past
- 36:28Speaker 1: me might see my clock moving slowly, but they can
- 36:31Speaker 1: agree that I measure my time and that's my proper time.
- 36:35Speaker 1: So this is a long way of saying that we
- 36:37Speaker 1: define one specific frame of reference when we talk about
- 36:40Speaker 1: the age of the universe, and that's the frame of
- 36:43Speaker 1: reference that's at rest with respect to most of the
- 36:46Speaker 1: stuff in the universe. Because when we're talking about the
- 36:49Speaker 1: age of the universe, we want to know, like how
- 36:51Speaker 1: old is the stuff around us? How long has this
- 36:53Speaker 1: stuff been here? I mean, I know there's also a
- 36:56Speaker 1: deeper level on which we want to ask the question
- 36:58Speaker 1: of like the whole existence of the universe, separate from
- 37:01Speaker 1: the question of like the stuff in it. But we
- 37:04Speaker 1: have to pick one frame of reference when we talk
- 37:06Speaker 1: about this. So we pick the stuff in the universe,
- 37:09Speaker 1: and most specifically, we picked the frame of reference in
- 37:12Speaker 1: which the cosmic microwave background radiation is at rest. That
- 37:17Speaker 1: early universe plasma that was created three hundred eighty thousand
- 37:21Speaker 1: years after the birth of the universe, that had a
- 37:24Speaker 1: frame of reference. There's a frame in which that is,
- 37:26Speaker 1: on average, not in motion, and that's not an absolute
- 37:30Speaker 1: reference frame, right, Like, the universe doesn't prefer that reference
- 37:35Speaker 1: frame for any reason. It just happens to be the
- 37:37Speaker 1: one in which that stuff is at rest. The laws
- 37:40Speaker 1: of physics still work in other reference frames. That's what
- 37:43Speaker 1: we mean when we say there's no absolute reference frame.
- 37:46Speaker 1: But there is a reference frame at which most of
- 37:48Speaker 1: the stuff in the universe is at rest, and that's
- 37:51Speaker 1: the one where the CMB is at rest. And so
- 37:54Speaker 1: that's how we define the age of the universe. The
- 37:56Speaker 1: universe is thirteen point eight billion years old according to
- 38:00Speaker 1: clocks that are not in motion relative to the cosmic
- 38:03Speaker 1: microwave background radiation. Now is the Earth in motion relative
- 38:07Speaker 1: to the cosmic microwave background radiation? Actually, yes, we are
- 38:12Speaker 1: moving through the CMB because you know, our motion is
- 38:15Speaker 1: actually quite complicated when moving around the Sun. The Sun
- 38:18Speaker 1: is moving around the center of the galaxy. Our galaxy
- 38:21Speaker 1: is moving around the center of mass of the local
- 38:23Speaker 1: galactic cluster, So our motion is quite complicated. And we're
- 38:26Speaker 1: actually moving through the CMB. It's several hundred kilometers per second.
- 38:32Speaker 1: So what that means is that the age of the
- 38:34Speaker 1: universe according to Earth clocks is a tiny little bit
- 38:38Speaker 1: different than it would be if our clocks were not
- 38:41Speaker 1: at motion relative to the CMB, But even several hundred
- 38:45Speaker 1: kilometers per second is pretty small compared to the speed
- 38:49Speaker 1: of light, and so it's a very small effect. In fact,
- 38:51Speaker 1: it's much much smaller than our uncertainty on the age
- 38:55Speaker 1: of the universe, so it's not a dominant effect at all,
- 38:58Speaker 1: and velocity is actually not the only effect. There are
- 39:01Speaker 1: other things that can slow down your clocks. If you
- 39:05Speaker 1: are near an object with mass, like a black hole
- 39:08Speaker 1: or a son, that also slows down your clock. That's
- 39:11Speaker 1: called gravitational time dilation, and we'll dig into that in
- 39:15Speaker 1: another episode the reasons for that. But for example, if
- 39:18Speaker 1: you get near a black hole, then your clock slows down.
- 39:22Speaker 1: So if you've spent a good fraction of your life
- 39:24Speaker 1: near a black hole, then you will not have aged
- 39:28Speaker 1: as much and you would think the universe is surprisingly old.
- 39:31Speaker 1: So the short answer to Edwardo's question is that we
- 39:34Speaker 1: do pick a frame of reference. It's the CMB, and
- 39:37Speaker 1: the age of the universe is quoted as relative to
- 39:39Speaker 1: the CMB. For observers that have not been near very
- 39:43Speaker 1: massive objects, So thanks very much for that question, Edwardo.
- 39:47Speaker 1: Thanks for thinking hard about whether these ideas really fit together.
- 39:50Speaker 1: I hope I help those click together in your mind.
- 39:53Speaker 1: And thanks to everybody who has sent in questions, who
- 39:56Speaker 1: continues to support the podcast, who shares with us your curiosity,
- 40:00Speaker 1: and it's been along for this super fun ride exploring
- 40:03Speaker 1: our bonkers universe. If you have questions you like answers to,
- 40:07Speaker 1: please don't be shy send them to me to questions
- 40:10Speaker 1: at Daniel and Jorge dot com. I know you're out there.
- 40:13Speaker 1: I know you have a question. I know you haven't
- 40:16Speaker 1: sent it to me. I just don't know why. Thanks
- 40:26Speaker 1: for listening, and remember that Daniel and Jorge explained the universe.
- 40:29Speaker 1: It's a production of I Heart Radio. For more podcast
- 40:33Speaker 1: from my Heart Radio, visit the I Heart Radio Apple
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