Latest / Daniel and Kelly’s Extraordinary Universe / What Is Time Dilation?
Transcript
- 0:07Speaker 1: Hey, Daniel, do you somebody's feel when you're bored time
- 0:10Speaker 1: slows down? That never happens to me when I'm talking
- 0:13Speaker 1: to you, or Hey, every conversation with you is riveting,
- 0:16Speaker 1: It goes back super fast. That's right. Time just flies by,
- 0:21Speaker 1: you know, and call you up, and then all of
- 0:22Speaker 1: a sudden it's hours later. Do you know what I mean? Like,
- 0:24Speaker 1: it's the idea that maybe time is relative in our heads. No,
- 0:29Speaker 1: I think that's true. When you're waiting for something, time
- 0:31Speaker 1: feels like it goes really slow. When you're listening to
- 0:34Speaker 1: your favorite podcast hosts, it just whizzes right by. We're
- 0:38Speaker 1: pretty bad at measuring time as a species, are we really?
- 0:41Speaker 1: Like our brains are not good at estimating time? Oh yeah,
- 0:44Speaker 1: they do all these experiments where they ask people to
- 0:46Speaker 1: estimate how long something has been, and they always over underestimated.
- 0:50Speaker 1: So psychologically time can be relative. That's proven. But what
- 0:54Speaker 1: about physics can that actually happen? Yeah? It turns out
- 0:58Speaker 1: that physics also doesn't provide a bedrock layer of truth
- 1:02Speaker 1: that time can slow down. Huh, So there's no universal clock, like,
- 1:07Speaker 1: there's no impartial, godlike measure of time. That's right. So
- 1:12Speaker 1: if next time you're late for a meeting, you can
- 1:14Speaker 1: just say, hey, I got my own clock and my
- 1:16Speaker 1: observer says I was on time. Physics gives you an
- 1:20Speaker 1: excuse to be late for your meeting. And I'm Daniel.
- 1:40Speaker 1: Welcome to our podcast Daniel and Jorgey explain the universe,
- 1:43Speaker 1: in which we take plenty of time to explain to
- 1:45Speaker 1: you how time works in the universe. Hey, yeah, we're
- 1:48Speaker 1: here to help you. Whatever it is you're doing, communing
- 1:51Speaker 1: to work on a subway, going out for a jog.
- 1:54Speaker 1: We're here to help the time move a little bit
- 1:56Speaker 1: faster for you. That's right. We're here to kill some
- 1:58Speaker 1: time for you, and out's time to get on with it.
- 2:01Speaker 1: So today's topic is why do clocks run slower when
- 2:11Speaker 1: they are moving fast? That's right. This is a really
- 2:14Speaker 1: popular thing for people to get confused about in relativity.
- 2:18Speaker 1: It's technically called time dilation, the fact that clocks that
- 2:22Speaker 1: move fast run slow, and it's a topic that confuses
- 2:26Speaker 1: people from here to infinity. Yeah, it's the idea that
- 2:30Speaker 1: if you're going really fast, maybe it close up the
- 2:32Speaker 1: speed of light, then time slows down for you. That's right.
- 2:36Speaker 1: And the thing we want to understand today is not
- 2:38Speaker 1: just does it happen, but why does it happen? What
- 2:41Speaker 1: is it about the universe that makes that the way
- 2:43Speaker 1: it really works? And the thing that I love about
- 2:47Speaker 1: this is that it's one of the best examples of
- 2:49Speaker 1: how the universe doesn't work the way you think it does,
- 2:52Speaker 1: that it doesn't make sense to our sort of intuitive
- 2:56Speaker 1: understanding of the way the world should work, right, especially
- 2:59Speaker 1: at these extreme conditions. Right, that's right, because we're not
- 3:02Speaker 1: used to those extreme conditions. So we've like operated in
- 3:05Speaker 1: you know, on the surface of the Earth, which is
- 3:07Speaker 1: pretty slow speeds for thousands and thousands of years. We
- 3:10Speaker 1: build up these intuitive models for how we think the
- 3:13Speaker 1: universe behaves right, what the rules are, And one of
- 3:17Speaker 1: those rules is that we think that there is a
- 3:20Speaker 1: absolute history, right, We think that there is a reality
- 3:22Speaker 1: out there and that something actually happens and in the end,
- 3:26Speaker 1: everybody should agree if they're honest observers about what happened.
- 3:29Speaker 1: It turns out that's just not true. And hopefully this
- 3:33Speaker 1: is kind of a topic that a lot of people
- 3:35Speaker 1: have hopefully I think maybe have heard about. It's sort
- 3:37Speaker 1: of permeated out into popular culture a little bit, right, like,
- 3:40Speaker 1: it's the basis of the movie Interstellar. I knew you
- 3:43Speaker 1: were going to talk about Interstellar Interstellar reference, but it's
- 3:48Speaker 1: it's a big example of it in pop culture, right,
- 3:51Speaker 1: Like I think, really Interstellar was a pretty big movie
- 3:55Speaker 1: regardless of what your physicists thinks of it, and my
- 3:58Speaker 1: year and my year physicist is that how used to
- 4:00Speaker 1: refer to me? No, Interstellar actually did a pretty good
- 4:03Speaker 1: job of modeling the relativity portion. My issues with the
- 4:06Speaker 1: Interstellar are more about the time travel and going inside
- 4:08Speaker 1: a black hole. But from the point of view of relativity,
- 4:11Speaker 1: that made a lot of sense. I mean, I thought
- 4:12Speaker 1: it was good that they actually built into the plot
- 4:15Speaker 1: what would happen to various people's clocks. And that's the
- 4:17Speaker 1: key thing, is that relativity is all about comparing clocks.
- 4:21Speaker 1: How fast is my clock going to your compared to
- 4:23Speaker 1: your clock? So we're going to assume that you have
- 4:26Speaker 1: heard of this concept that if you are in a
- 4:28Speaker 1: spaceship going really fast and time will slow down for you.
- 4:32Speaker 1: But we were wondering how many people out there know why?
- 4:36Speaker 1: So as usual, I tortured the undergraduates of you see
- 4:39Speaker 1: Irvine by walking around and asking them random questions without
- 4:42Speaker 1: any preparation. And remember, for those of you who think
- 4:45Speaker 1: that these answers are silly, these are hard questions to
- 4:48Speaker 1: answer on the top of your head, so give them
- 4:50Speaker 1: some slack. It's tortured. This called the physics boarding, enhanced
- 4:55Speaker 1: physics exactly, physics boarding, you know, exactly. I'm gonna cover
- 5:00Speaker 1: your face with a towel and poor physics on your face. Um. Eventually,
- 5:05Speaker 1: I think the undergrads are gonna recognize me, and they're
- 5:07Speaker 1: gonna be like, don't let that guy talk to you.
- 5:09Speaker 1: He'll embarrass you. Run away. We're not trying to embarrass
- 5:12Speaker 1: these people. No, it's great. I think I would be
- 5:14Speaker 1: totally flabbergasted if you asked me these questions out of
- 5:17Speaker 1: the street. All right, I'll plan the ambush you one day.
- 5:19Speaker 1: So before you listen to these answers, think for yourself.
- 5:22Speaker 1: Do you know what time dilation is? Can you explain
- 5:25Speaker 1: why moving clocks run more slowly? Here's what people had
- 5:29Speaker 1: to say. Have you heard of time dilation? Do you
- 5:33Speaker 1: know that clocks that move really fast go slower? This
- 5:37Speaker 1: is trying your information to me. Yes, do you know
- 5:40Speaker 1: why that is? No? I don't know the real reason.
- 5:44Speaker 1: I'm sorry, No, no, there is no time, thanks very much.
- 5:52Speaker 1: All right, So maybe I was a little wrong. Not
- 5:53Speaker 1: a lot of people have heard about this concept. That's right,
- 5:56Speaker 1: and there are even people out there that deny the
- 5:57Speaker 1: time exists. Right, there is no time, there is no
- 6:03Speaker 1: concept of time, or that there was not enough time
- 6:05Speaker 1: to explain it to you. You know, I was so
- 6:07Speaker 1: flabbergasted by the response. I couldn't even formulate a follow
- 6:10Speaker 1: up question. I was like still processing, like, what does
- 6:13Speaker 1: that even mean? Wow? Did he did he just dropped
- 6:16Speaker 1: or she dropped the bike? There is no time? Great phase.
- 6:20Speaker 1: She said it with a lot of finality. Yeah, So
- 6:23Speaker 1: there wasn't a whole lot of opening there for interrogation
- 6:26Speaker 1: or follow up questions. It was like, this is a
- 6:28Speaker 1: clearly known fact, there is no time. Well, I mean
- 6:31Speaker 1: she was just going to rush and she's like, I
- 6:32Speaker 1: have no time for this. No. I think it was
- 6:35Speaker 1: definitely more of the time and time is an illusion.
- 6:38Speaker 1: So an answer, Yeah, I've heard of that time is
- 6:40Speaker 1: an illusion. Yeah, Well, I think we have to do
- 6:42Speaker 1: a whole other podcast episode about what is time and
- 6:44Speaker 1: how does it work? And why does it only go
- 6:46Speaker 1: forward and all that kind of stuff. But this is
- 6:48Speaker 1: kind of related. This topic is related to that idea
- 6:51Speaker 1: that time is not what we think it is. That's right.
- 6:55Speaker 1: We've met a lot of progress in the last hundred
- 6:57Speaker 1: years in understanding time, and we've connected it to space.
- 7:00Speaker 1: You've probably heard the concept of space time, right. We
- 7:02Speaker 1: have three dimensions at least of space and one dimension
- 7:06Speaker 1: of time, and Einstein's relativity tied them together and showed
- 7:08Speaker 1: us how time and space are connected. But that doesn't
- 7:11Speaker 1: mean that time can be simply understood as a fourth
- 7:14Speaker 1: dimension of space. It's much more complicated. It's different from
- 7:16Speaker 1: the other dimensions of space. Yeah, they're all tied together, time, speed, space,
- 7:22Speaker 1: It's all one big molasses of a universe. It's all
- 7:26Speaker 1: one big tangle. The amazing thing is that it actually
- 7:28Speaker 1: all does work. You know. We have this new version
- 7:31Speaker 1: of our understanding of the universe, not that new anymore
- 7:33Speaker 1: as a hundred years old, but this revised version of
- 7:37Speaker 1: our understanding the universe, and it actually hangs together. I mean,
- 7:40Speaker 1: the answers that gives you don't make any sense to
- 7:42Speaker 1: your intuition, Like they fly in the face of what
- 7:44Speaker 1: you think should happen. They require you to like throw
- 7:47Speaker 1: out the way you think the universe works, but they
- 7:50Speaker 1: actually do hang together mathematically and they are correct. Like
- 7:54Speaker 1: every time we make a ridiculous prediction from relativity and
- 7:57Speaker 1: God and check it, the universe is like, yep, that
- 8:00Speaker 1: ridiculous thing actually happens. Well, let's bring it down for people.
- 8:04Speaker 1: So what does it mean for clocks to run slower
- 8:07Speaker 1: when they move fast? So that's that's what we're exploring,
- 8:11Speaker 1: and that's what we're trying to explain, is why when
- 8:14Speaker 1: you're moving really fast, your clock is going to actually
- 8:17Speaker 1: slow down. Right, And so let's be very careful and
- 8:20Speaker 1: how we say this, because a lot of people get confused.
- 8:22Speaker 1: People think that if you are moving fast, that your
- 8:25Speaker 1: clock slows down. That like, if you're looking at your
- 8:27Speaker 1: watch and running that you can see the seconds tick slower.
- 8:31Speaker 1: That's not true. If you're holding a clock and the
- 8:34Speaker 1: clock is not moving relative to you, you'll always see
- 8:37Speaker 1: it moving at one second per second. Okay, no matter
- 8:39Speaker 1: how fast you're going relative to anything else, your clock
- 8:42Speaker 1: always runs the same way. It's not like I get
- 8:44Speaker 1: on a spaceship hit the warp speed and then that's
- 8:49Speaker 1: not what I experienced. That's right. You never notice your
- 8:52Speaker 1: own time changing, right, you experienced time at one second
- 8:55Speaker 1: per second, no matter what. Okay, the thing that does
- 9:00Speaker 1: happen is that clock's moving relative to you. Right. So,
- 9:03Speaker 1: if I'm standing still and Horge has a clock and
- 9:06Speaker 1: he runs because he's a pretty zippy guy, if he
- 9:08Speaker 1: runs a half speed of light because I'm running late,
- 9:11Speaker 1: probably if I notice that he's moving really fast, then
- 9:16Speaker 1: I will see his clock running more slowly. Right. So,
- 9:19Speaker 1: now from his point of view, he will see his
- 9:21Speaker 1: clock running normally, but I will see his clock running
- 9:24Speaker 1: more slowly. If I'm zooming past you and you just
- 9:26Speaker 1: look at my clock as I'm zooing by, it's not
- 9:30Speaker 1: going to be running at the same speed as your clock,
- 9:32Speaker 1: that's right. If I'm watching you as you go by,
- 9:34Speaker 1: and I'm watching your clock's hands tick forward, right, then
- 9:37Speaker 1: they don't agree with mine. Yours mark the seconds more
- 9:41Speaker 1: slowly than my clock does. And that's the key thing
- 9:44Speaker 1: is that the observation of time depends on your relative
- 9:48Speaker 1: velocity to the clock. So it's not that it actually
- 9:52Speaker 1: slowed down for me at least, it just you saw
- 9:55Speaker 1: it run slower. Right. I love how you try to
- 9:58Speaker 1: use the word actually right because you're in your imagining,
- 10:01Speaker 1: there's some true version of the effect of the effect, right,
- 10:04Speaker 1: I'm just this is an illusion or it looks this way,
- 10:07Speaker 1: but it's not actually happening. The problem is there is
- 10:10Speaker 1: no what actually happened. Okay, I observe one thing, you
- 10:14Speaker 1: observe something else. We can both be right even if
- 10:18Speaker 1: those accounts disagree. WHOA Okay, So then I'm running past
- 10:22Speaker 1: you really fast with a clock and you see it
- 10:25Speaker 1: run slower than I do, or it's running slower than
- 10:28Speaker 1: your clock. Then what happens if I stopped, like if
- 10:30Speaker 1: I stopped a few paces after you, Does that mean
- 10:33Speaker 1: our clocks are going to be out of sync? Yes,
- 10:35Speaker 1: our clocks will definitely be out of sync, exactly, And
- 10:38Speaker 1: there's a lot of interesting effects there. Right. So I'm
- 10:41Speaker 1: a I'm standing still from my point of view, right,
- 10:43Speaker 1: and you're running past me. I see your clock moving
- 10:45Speaker 1: more slowly. I see my clock running normally. Right, what
- 10:49Speaker 1: do you see? Well, you see your clock running normally, right,
- 10:52Speaker 1: because everybody sees their own clock running normally. But you
- 10:55Speaker 1: also see my clock running slowly because even though you're
- 10:59Speaker 1: doing doing the running, I'm moving relative to you and
- 11:03Speaker 1: your clock. So then what happens if I stopped, Because
- 11:05Speaker 1: I'm gonna think time moved normally, But when when I
- 11:08Speaker 1: compare my clock to your clock, your clock will have
- 11:10Speaker 1: skipped ahead because right or no, we'll have skip back.
- 11:15Speaker 1: This is really tricky, okay, and we should probably avoid
- 11:19Speaker 1: this topic. Well maybe we won't. Let's dig into it.
- 11:26Speaker 1: This is called the twin paradox, right, This is people say, well,
- 11:30Speaker 1: how do you reconcile this? Right? So the classic framing
- 11:33Speaker 1: of this is, say we're twins, right, and I stay
- 11:36Speaker 1: on We draw straws for Hugas to go to Alpha Centauri,
- 11:39Speaker 1: and you lose. So you have to go to Alpha
- 11:41Speaker 1: Centauri or you win. You have to go to Alpha Centauri.
- 11:44Speaker 1: I stand on Earth and you take a rocket shipped
- 11:46Speaker 1: Alpha Centauri, and I see your clock running more slowly. Okay,
- 11:48Speaker 1: well we sink First of all, we sink clocks like
- 11:51Speaker 1: before I take off. Yes, we're just going to sink clocks.
- 11:53Speaker 1: Time zero start go now, that's right, and I see
- 11:57Speaker 1: your clock running more slowly. Meanwhile, you have telescope. You're
- 12:00Speaker 1: looking at my clock. You see mine running more slowly. Right,
- 12:03Speaker 1: so we both see the other person as aging more slowly. Right.
- 12:07Speaker 1: So now after a hundred years, you see me as
- 12:10Speaker 1: only being ten years older, and I see you as
- 12:12Speaker 1: only being ten years older, right, right, So then I
- 12:14Speaker 1: come back and then what happened? Who's older? All right,
- 12:18Speaker 1: let's break this down really carefully because it is tricky.
- 12:21Speaker 1: So when the Earth twin is watching the ship twins clock,
- 12:25Speaker 1: he of course sees time moving more slowly on the ship, right,
- 12:28Speaker 1: that's relativity. The same way when the ship twin watches
- 12:31Speaker 1: the Earth twins clock, he also sees time moving more
- 12:34Speaker 1: slowly on Earth. So far everything is symmetric, right, and
- 12:37Speaker 1: that's why we like it. Because you could be in ship,
- 12:40Speaker 1: you could be in the Earth. That shouldn't really matter,
- 12:42Speaker 1: right now. If they just kept going this way, nothing
- 12:44Speaker 1: would change. Of course, they would have conflicting views of
- 12:48Speaker 1: whose clock is moving slower, right, But that's okay. In relativity,
- 12:51Speaker 1: you can have two people with conflicting but both correct
- 12:54Speaker 1: views of the same situation, right, Because there is no
- 12:57Speaker 1: ultimate truth, right, your answer is depend on your speed
- 13:00Speaker 1: and your location. So what happens to break the symmetry?
- 13:04Speaker 1: The symmetry is broken when the space twin turns around.
- 13:07Speaker 1: That's an acceleration, right, That changes everything. Well, only the
- 13:11Speaker 1: space twin does any acceleration, so that makes his case different, right,
- 13:15Speaker 1: And during that acceleration, the time on Earth seems to
- 13:19Speaker 1: zoom forward really fast from the point of view of
- 13:21Speaker 1: the space twin. So on the way back, yeah, he
- 13:24Speaker 1: sees Earth moving fast and Earth clock going slowly. But
- 13:27Speaker 1: during that acceleration Earth time has leapt forward really far,
- 13:32Speaker 1: so that when the space twin gets back to Earth,
- 13:34Speaker 1: he's younger than his twin on Earth. Right, And the
- 13:37Speaker 1: reason they're no longer symmetric is that only the space
- 13:40Speaker 1: twin has done any acceleration, so you shouldn't expect them
- 13:43Speaker 1: to be the same from each point of view. It's
- 13:46Speaker 1: the coming back that then lets me stay younger. Yeah, exactly. Okay,
- 13:51Speaker 1: let's let's dig into it even more. But let's take
- 13:55Speaker 1: a quick break, all right. So this idea that time
- 14:10Speaker 1: moves slower when you're going fast, it's what's cool is
- 14:13Speaker 1: that it's always happening, right. It doesn't just happen when
- 14:16Speaker 1: you're going at the speed of light or close to
- 14:18Speaker 1: the speed of light. It's it happens like on your
- 14:21Speaker 1: on a daily basis, That's right. It applies all the time.
- 14:24Speaker 1: It always applies to things that have velocity relative to you.
- 14:28Speaker 1: But it's a really tiny effect if you're not going
- 14:31Speaker 1: really really fast. So when you're driving sixty in the freeway, yeah,
- 14:35Speaker 1: your clock is running a little bit slower, but you'll
- 14:38Speaker 1: never notice it. Wow, but it's there. Like if we're
- 14:41Speaker 1: all feeling relativity and time dilation all the time everywhere,
- 14:45Speaker 1: there's no way to escape relativity. It is everywhere. It's
- 14:49Speaker 1: relatively everywhere. It's absolutely every Absolutely thing about relativity is
- 14:54Speaker 1: that it's everywhere. Okay, so it only happens when you
- 14:58Speaker 1: get it's only noticeable. You're saying, when you're going to
- 15:01Speaker 1: close the speed up. But I heard it happens to
- 15:04Speaker 1: astronauts here on Earth, like the Space Shuttle. The clocks
- 15:08Speaker 1: get out of sync with the clocks on Earth. That's right,
- 15:10Speaker 1: though it takes a lot of precision to measure it.
- 15:12Speaker 1: It's something like every six months or so they lose
- 15:15Speaker 1: like less than a hundredth of a second. So it's
- 15:18Speaker 1: something we can measure, and they have really precise clocks
- 15:20Speaker 1: precisely to measure this to verify these predictions, but it's
- 15:24Speaker 1: not something that people have really like qualitatively experienced. We
- 15:28Speaker 1: haven't had an astronaut come back, you know, deep into
- 15:30Speaker 1: the future and still feel young. And it goes really nonlinear, right,
- 15:34Speaker 1: as you get faster and faster, the effect gets stronger
- 15:36Speaker 1: and stronger. But they did do the twin experiment with astronauts, right, Like,
- 15:40Speaker 1: they sent to one twin into space for a whole year,
- 15:43Speaker 1: and then he came back and technically he was point
- 15:46Speaker 1: oh one seconds younger. That's right. I wonder if he
- 15:49Speaker 1: was the one who was originally born first or the
- 15:51Speaker 1: one who's ovisually born second, because it be interesting and
- 15:53Speaker 1: be like, well you used to be the older twin,
- 15:55Speaker 1: but now I'm the older twin. A should have stayed
- 15:58Speaker 1: up there for ten more years. Do you think growing
- 16:02Speaker 1: up twins still argue by that kind of stuff. Well,
- 16:04Speaker 1: I'm the older brother, so you have to listen to me.
- 16:06Speaker 1: What do you think they're both austers. They're probably trying
- 16:09Speaker 1: to one up each other. Well, yeah, I'm an engineer.
- 16:12Speaker 1: Oh yeah, I'm a pilot. Oh yeah, I'm a I'm
- 16:14Speaker 1: an auster. Not me too, yeah, probably it never ends, right,
- 16:19Speaker 1: but technically that's true. He went out into space, went
- 16:22Speaker 1: around the Earth for a whole year. When he came back. Technically,
- 16:25Speaker 1: time for him moved one hundred of a second slower. Yeah,
- 16:29Speaker 1: I wonder what he's gonna do with all that extra time,
- 16:31Speaker 1: you know, scratches nose or something. Right, it's gone, he
- 16:35Speaker 1: lost it. He used it up. Yeah, But as you
- 16:37Speaker 1: go faster and faster, the effect gets stronger and stronger,
- 16:40Speaker 1: and as you approached the speed of light, time gets
- 16:43Speaker 1: so slow that we can say that if you go
- 16:46Speaker 1: the speed of light, time would actually stop. So if
- 16:50Speaker 1: I'm zooming running past you at the speed of light,
- 16:53Speaker 1: you would see my clock totally frozen, exactly. Now, caveats
- 16:57Speaker 1: are important here. Nothing that has mass actually go the
- 17:00Speaker 1: speed of light, right, and only massless things can go
- 17:03Speaker 1: the speed of light, So you can never go the
- 17:05Speaker 1: speed of lights. Are saying I have much mass, Daniel.
- 17:09Speaker 1: You're pretty massive, dude, Yeah, by which I mean you're funny,
- 17:12Speaker 1: and you're massively awesome thanking, and you have a massively
- 17:17Speaker 1: excellent podcast, and you are brilliant. But you're not entirely
- 17:20Speaker 1: made of light. But that all right, Yeah, I was
- 17:23Speaker 1: just fishing for relative compliments. You're absolutely wonderful. So if
- 17:28Speaker 1: you have somebody in a spaceship and they're going super
- 17:30Speaker 1: duper fast and they're approaching the speed of light, and
- 17:33Speaker 1: time slows down further and further, to the point where
- 17:35Speaker 1: it almost stops. But remember, for them, time doesn't slow down.
- 17:39Speaker 1: It's not like they're living in molasses. It's just our
- 17:41Speaker 1: observation of their time. So if somehow a photon had
- 17:45Speaker 1: a clock, yeah, our view of the photons clock would
- 17:48Speaker 1: be that it was frozen. Right for us, Photons don't
- 17:51Speaker 1: move forward in time. They are frozen in time. But
- 17:53Speaker 1: if you were a photon, what would your experience be. Well,
- 17:57Speaker 1: it's hard to answer that because you're not a photon,
- 17:59Speaker 1: and you have to have that concept of like ascension photon,
- 18:01Speaker 1: which seems impossible, but it's always basically an impossible question
- 18:06Speaker 1: to answer. But they remember, your time always moves forward
- 18:10Speaker 1: um at one second per second. Okay, so that's the
- 18:16Speaker 1: effect of time dilation. Time moves seems to move slower
- 18:20Speaker 1: when you're going faster. So let's get into why it happens.
- 18:24Speaker 1: Do we know why this happens. We do know why,
- 18:28Speaker 1: and it's a consequence of another really strange, counterintuitive thing
- 18:32Speaker 1: that we've observed about the universe that makes very little sense.
- 18:36Speaker 1: So it's a conundrum built on a conundrum. It's a bizarre,
- 18:41Speaker 1: counterintuitive consequence of something really weird about the universe and
- 18:45Speaker 1: really weird about light. Actually, it's the fact that everybody
- 18:49Speaker 1: always observes light going at the same speed, no matter
- 18:53Speaker 1: how fast they're going relative to the source of the light. Okay,
- 18:57Speaker 1: let's break it down what that means. So light travels
- 19:00Speaker 1: through space, but nobody can see it move faster than
- 19:04Speaker 1: that speed that light losing. That's right. There's a certain
- 19:07Speaker 1: speed of light that goes through space three times ten
- 19:09Speaker 1: to the eights per second. And we'll call it the
- 19:11Speaker 1: speed of light. Of course. And if I'm standing on
- 19:14Speaker 1: a planet and I turn on a flashlight, then the
- 19:17Speaker 1: light leaves me and travels at three times tended them
- 19:21Speaker 1: per second away from me. Right, And if I'm and
- 19:25Speaker 1: if you're shooting it at me, then I see moving
- 19:27Speaker 1: towards me at three times ten to the eight meters
- 19:29Speaker 1: per second. Okay, that's right, even if you're even if
- 19:32Speaker 1: you're on a rocket ship and you're moving towards me, right,
- 19:34Speaker 1: say you're moving towards me at half the speed of light.
- 19:37Speaker 1: I shoot my laser beam at you're my flashlight at you,
- 19:40Speaker 1: you still see that flashlight, the light from it coming
- 19:42Speaker 1: at you at the speed of light, right, And that's
- 19:44Speaker 1: different from you know, sound waves or rocks or something,
- 19:48Speaker 1: or a baseball. Like that's weird. Right, Like, if you
- 19:51Speaker 1: throw a baseball at me and I'm running full speed
- 19:54Speaker 1: towards you, that baseball is going to be it's gonna
- 19:57Speaker 1: look like it's moving really fast towards me. That's right.
- 19:59Speaker 1: If I threw a baseball at you at a hundred
- 20:01Speaker 1: miles an hour, which I promise I can totally do,
- 20:03Speaker 1: this is very realistic, and you're running towards me at
- 20:06Speaker 1: fifty miles an hour, which I'm sure you're totally capable of. Um,
- 20:10Speaker 1: then obviously I see the baseball is moving away from
- 20:13Speaker 1: me at a hundred miles per hour, but you see
- 20:15Speaker 1: the baseball is coming towards you at a hundred fifty
- 20:17Speaker 1: miles per hour. Right. That's the way it works for
- 20:20Speaker 1: normal things. But you're saying that if that baseball instead
- 20:22Speaker 1: of a baseball, it was a beam of light, that
- 20:24Speaker 1: wouldn't happen. That's right. Light doesn't follow those rules. Everybody
- 20:28Speaker 1: who measures it measures it as traveling at that fixed
- 20:31Speaker 1: speed of light. No matter what. I mean, there are
- 20:33Speaker 1: caveats here, like it slows down and it travels through
- 20:36Speaker 1: air or water, whatever, But let's just talk about it
- 20:38Speaker 1: in a vacuum. The crazy thing is that doesn't matter
- 20:41Speaker 1: how fast you're going, everybody sees light is traveling at
- 20:43Speaker 1: this maximum speed of the universe, no matter what. And
- 20:47Speaker 1: that's crazy, right and right there is where your concept
- 20:51Speaker 1: that everybody sees the same thing the same way, or
- 20:54Speaker 1: that there is one absolute truth that we're all observing
- 20:57Speaker 1: in different ways breaks down because your description of events
- 21:00Speaker 1: and my description events are going to be very different.
- 21:02Speaker 1: If we see light moving at different speeds. It's the
- 21:05Speaker 1: weird It's like a weird rule of the universe. Not
- 21:08Speaker 1: that light something can't travel at this faster than the
- 21:11Speaker 1: speed of light. It's a weird rule that says nothing
- 21:13Speaker 1: can be seen to travel faster than the speed of light,
- 21:16Speaker 1: not even light. That's right. Light always travels at the
- 21:19Speaker 1: speed of light, and nothing can travel faster than the
- 21:21Speaker 1: speed of light. And these two things are connected, right,
- 21:23Speaker 1: because if light operated the same way as baseballs, then
- 21:27Speaker 1: you could see light moving as faster than the speed
- 21:29Speaker 1: of light just by moving towards me. When I'm shooting
- 21:31Speaker 1: a laser at you, right then that light would be
- 21:33Speaker 1: moving relative to you. It's faster than the speed of light.
- 21:36Speaker 1: But it doesn't right, you move towards me, and you
- 21:38Speaker 1: still measure light as moving at the same speed. It
- 21:41Speaker 1: doesn't matter if you're running away from me or towards me. Okay,
- 21:44Speaker 1: So if you shoot a light beam at me and
- 21:46Speaker 1: I'm running towards you really really, really fast, You're going
- 21:49Speaker 1: to measure the light moving at the speed of light.
- 21:51Speaker 1: And I should measure the light moving faster towards me.
- 21:54Speaker 1: But I'm also going to measure it moving at the
- 21:57Speaker 1: speed of light, even if I'm moving towards you or
- 22:00Speaker 1: away from you or to the side of you exactly,
- 22:02Speaker 1: no matter how fast and moving, I'm always going to
- 22:05Speaker 1: measure it and moving at the speed of light exactly.
- 22:07Speaker 1: And that's crazy, right, It's bonkers, doesn't make any sense.
- 22:11Speaker 1: And it's a famous experiment, Michael said. Morally, the experiment
- 22:13Speaker 1: that that did this, they shot beams of light in
- 22:15Speaker 1: two directions, and because the earth is moving, they figured, well,
- 22:19Speaker 1: one of them is going to go slower than the
- 22:20Speaker 1: other one because the earth is moving, right, So they
- 22:22Speaker 1: did the experiment different times of year, and the light
- 22:25Speaker 1: came back took the same amount of time to go
- 22:28Speaker 1: in these two perpendicular directions every single time. And that
- 22:31Speaker 1: told them that that the speed at which light travels
- 22:35Speaker 1: is not dependent on how fast you are moving the
- 22:38Speaker 1: observer is moving. It's always the same speed. It's crazy.
- 22:42Speaker 1: Is it like some kind of um just like fundamental
- 22:45Speaker 1: limit in this stuff of the universe itself? You know,
- 22:49Speaker 1: like nothing can propagate through this thing we call space
- 22:53Speaker 1: faster than the speed of light. Is that kind of
- 22:55Speaker 1: what it's related to. Yeah, definitely, But it's it's a
- 22:57Speaker 1: deep question and we don't have a solid answer to too.
- 23:00Speaker 1: Why does light always travel at this speed regardless of
- 23:03Speaker 1: the speed of the observer. We don't know the answer
- 23:05Speaker 1: to that. That's just like Einstein postulated that. He said, Okay,
- 23:09Speaker 1: let's start from this crazy assumption and build the math
- 23:12Speaker 1: up from there, and if everything then works, and we'll say, well,
- 23:15Speaker 1: that assumption must be true. And if you start from
- 23:17Speaker 1: that assumption, you get all sorts of crazy predictions which
- 23:20Speaker 1: all turn out to be true. Right, So that is
- 23:24Speaker 1: a deep truth of the universe. But the answer is,
- 23:26Speaker 1: we don't know why. We don't know why light always
- 23:28Speaker 1: travels at the same speed, or a light is always
- 23:31Speaker 1: observed at the same speed, no matter who is doing
- 23:33Speaker 1: the measuring and how fast they're going. It's a weird
- 23:37Speaker 1: rule about the universe. It's a weird, weird rule. And
- 23:39Speaker 1: when I meet the people who wrote the simulation, I'm
- 23:41Speaker 1: gonna ask them, why did you do that, man that
- 23:43Speaker 1: made everything so complicated about the universe? One star on
- 23:50Speaker 1: Yelp for that for that bit of load. No, I
- 23:53Speaker 1: think it's it's there's a fascinating angle there, you know,
- 23:56Speaker 1: because we grew up sort of as a species in
- 23:58Speaker 1: an environment where nothing was near the speed of light,
- 24:01Speaker 1: and so we never noticed this, and so we assume
- 24:04Speaker 1: things like everybody's clock runs at the same time because
- 24:07Speaker 1: we've always thought it did. And so they're not allowed
- 24:10Speaker 1: us to assume things like there must be some sort
- 24:12Speaker 1: of absolute sense of time and absolute history and there's
- 24:15Speaker 1: a really universe out there, and this is I mean,
- 24:18Speaker 1: this shakes the very foundations of how we even think
- 24:21Speaker 1: about the universe that's out there and whether it makes
- 24:23Speaker 1: sense at all. So it's it's pretty crazy stuff. I
- 24:26Speaker 1: feel like we're kepped with weirdness at both ends of
- 24:29Speaker 1: the specter. What I mean is like, if you move
- 24:33Speaker 1: it close to the speed of light, things get weird.
- 24:35Speaker 1: But also if you don't move at all, things good weird.
- 24:37Speaker 1: Right because of quantum physics and the uncertainty principle. Right,
- 24:41Speaker 1: Like if you try to discertain things that zero velocity,
- 24:44Speaker 1: things get weird too. Things always get weird. I think
- 24:46Speaker 1: that's the takeaway, right. The universe is weird, like I
- 24:49Speaker 1: think I said last week, is weirder and stranger and
- 24:52Speaker 1: hotter and nastier and wetter than you could ever even imagine.
- 24:55Speaker 1: And the I think the craziest surprises about the way
- 24:57Speaker 1: the universe work are still yet to come. You know,
- 25:00Speaker 1: we've made these discoveries that showed us to the universe
- 25:02Speaker 1: is so different from the way our ancestors have imagined.
- 25:06Speaker 1: There must be more of those discoveries coming. It's certainly
- 25:08Speaker 1: not the case that we figured them all out. There
- 25:10Speaker 1: are crazy revelations in our future. Well, that's good for
- 25:13Speaker 1: our podcast topics, that's right. Okay, let's so let's get
- 25:19Speaker 1: into how this affects time. But first let's take a
- 25:22Speaker 1: quick break. So we know that the speed of light,
- 25:37Speaker 1: you can observe going anything faster than the speed of light.
- 25:40Speaker 1: So how does this affect how we view time or
- 25:42Speaker 1: how we experience time? Right, So it comes directly the
- 25:46Speaker 1: fact that light can't travel at any other speed is
- 25:49Speaker 1: what directly affects how time passes and how we measure time.
- 25:53Speaker 1: And it can be a complicated topic, but I think
- 25:55Speaker 1: the best way to do is to think about maybe
- 25:57Speaker 1: how a simple clock operates. So let's build a simple
- 26:00Speaker 1: clock that uses light. You mean like an Apple watch? Er, No,
- 26:04Speaker 1: I mean let's imagine that you're you have to build
- 26:06Speaker 1: a clock, and all you have as a laser, right,
- 26:08Speaker 1: And so you know, for example, that light takes about
- 26:13Speaker 1: ten nanoseconds to go ten feet right, it goes about
- 26:17Speaker 1: one ft every nanosecond. So what you do is you
- 26:20Speaker 1: measure very precisely, you know, ten ft. You put a
- 26:24Speaker 1: mirror at the end, and then you shoot your laser.
- 26:26Speaker 1: You shoot a laser pulse, and you say, however long
- 26:29Speaker 1: it takes to go um there and back. That's two seconds, right,
- 26:34Speaker 1: ten feet there and ten feetback. And you set up
- 26:36Speaker 1: the mirrors in the floor and in the ceiling, right,
- 26:38Speaker 1: so that being is bouncing up and down right right,
- 26:42Speaker 1: So you you shoot the laser up towards the ceiling
- 26:45Speaker 1: and back, and you know how far it is to
- 26:48Speaker 1: your ceiling and how far it is back to your floor,
- 26:50Speaker 1: and so you say that's twenty ft, so that's two
- 26:52Speaker 1: seconds round trip. Oh I see. So then the way
- 26:55Speaker 1: you turn that into a clock is you count how
- 26:58Speaker 1: many times the light bounces up and down the ceiling,
- 27:01Speaker 1: and that sort of gives you a sense of how
- 27:04Speaker 1: time is moving. That's right. You want to say, well,
- 27:06Speaker 1: how long does it take my cat to finish his lunch?
- 27:09Speaker 1: And so you count how many times it takes the
- 27:12Speaker 1: laser pults to go up to the ceiling and back,
- 27:14Speaker 1: and that's the number of two second intervals it takes
- 27:16Speaker 1: your cat to eat his lunch. Okay, so that's where
- 27:19Speaker 1: it seems like a pretty impractical clock. But hey, this
- 27:23Speaker 1: this is how we do things in physics. Man, be like,
- 27:26Speaker 1: can we build this thing using lasers? What's the most
- 27:31Speaker 1: inconvenient wristwatch we can build with lasers at home? The
- 27:35Speaker 1: way we toast bread for breakfast as we use lasers,
- 27:38Speaker 1: of course, and cats cats, I feel like it's a key. No,
- 27:42Speaker 1: that's just how we toast our cats. Man. Let's say
- 27:47Speaker 1: you cooked the food for the I want to I
- 27:48Speaker 1: want to officially distance myself from that joke, because nobody
- 27:51Speaker 1: should ever fire a laser at a cat. Well, you
- 27:54Speaker 1: can fire a laser near a cat to entertain it,
- 27:56Speaker 1: of course, but I don't actually hit your your cat
- 27:58Speaker 1: with a laser, please, oh man? All right, So now
- 28:00Speaker 1: we have our clock, right, that's the way a clock
- 28:02Speaker 1: that uses light. Okay, so this is a thought experiment.
- 28:05Speaker 1: We're going to build a clock where we measure time
- 28:07Speaker 1: by measuring counting how many times it bounces off the
- 28:09Speaker 1: ceiling up and down. That's right, And it doesn't have
- 28:12Speaker 1: to be a thought experiment. You've got mirrors, you've got lasers.
- 28:14Speaker 1: Go ahead, build your self o'clock. Um. But the interesting
- 28:17Speaker 1: thing is that what happens if you put that clock
- 28:20Speaker 1: on a spaceship right right on the train. Let's make
- 28:23Speaker 1: it even more inconvenient. Let's put this on a spaceship.
- 28:29Speaker 1: And so that's when things start to get interesting, right, Like,
- 28:31Speaker 1: that's when we start to see how time slows down. Yeah,
- 28:35Speaker 1: Or let's put the clock on the back of your cat, right,
- 28:37Speaker 1: and then see what happens when you're well, I guess
- 28:39Speaker 1: you need the ceiling on the back of the cap.
- 28:41Speaker 1: Maybe that doesn't. Actually, I feel like trying to get
- 28:43Speaker 1: a cat to do what you want is even more
- 28:46Speaker 1: difficult than getting on a spaceship. Einstein had no idea
- 28:49Speaker 1: how to get your cat to do what you want.
- 28:50Speaker 1: You can master. He was the master of the cosmos,
- 28:53Speaker 1: but not of cats. All right. So we have a
- 28:59Speaker 1: clock where you measure time by counting how many times
- 29:02Speaker 1: it bounced off the ceiling on the floor, and we
- 29:04Speaker 1: stick it in a spaceship, and then we start going.
- 29:07Speaker 1: What happens then, right, So if you're in the spaceship,
- 29:10Speaker 1: nothing changes. It doesn't matter that you're going at half
- 29:13Speaker 1: the speed of light or nine tenths of speed of light.
- 29:15Speaker 1: You're in the spaceship. You have no velocity relative to
- 29:17Speaker 1: the clock. So things work the same way on the
- 29:19Speaker 1: spaceship for you as they did when you tested your
- 29:21Speaker 1: clock in your living room. As you just see the
- 29:23Speaker 1: beam go up and down, bounce up and down, and
- 29:25Speaker 1: you count, and that's your time. That's right. And since
- 29:27Speaker 1: you brought your cat along, it takes your cat the
- 29:29Speaker 1: same amount of time to eat his lunch in your
- 29:31Speaker 1: spaceship as it does at home, assuming he's not wearing
- 29:35Speaker 1: a silly cat space suit. The interesting thing is that
- 29:38Speaker 1: when since you left me, Um, you left me on Earth,
- 29:40Speaker 1: you didn't invite me on your awesome spaceship. Thanks by
- 29:43Speaker 1: the way, that would have been too inconvenient. And I'm
- 29:47Speaker 1: so heartbroken that I'm spying on you. Have a massive
- 29:50Speaker 1: telescope and I'm watching your cat eat lunch on a spaceship. Um.
- 29:54Speaker 1: Now I'm looking at your clock, okay, and I'm wondering
- 29:56Speaker 1: how long does it take his cat to eat lunch, etcetera.
- 30:00Speaker 1: And I'm watching your clock. Okay, you're trying to count
- 30:03Speaker 1: how many times it bounces off the ceiling to exactly.
- 30:07Speaker 1: So I see the laser pulse go up, and I
- 30:09Speaker 1: see the laser pulse come down. Right. The problem is
- 30:12Speaker 1: that I don't see the laser pulse going ten feet
- 30:15Speaker 1: up and ten feet down. I see the laser pulse
- 30:18Speaker 1: as going further because you're moving, which means the laser
- 30:21Speaker 1: pulse is not just going up and down. It's also
- 30:23Speaker 1: going sideways in the direction of your motion. So you
- 30:26Speaker 1: have the up and down and the sideways. So the
- 30:29Speaker 1: light for me, the laser is going in a diagonal right,
- 30:31Speaker 1: diagonal up hit the ceiling, and diagonal back down to
- 30:35Speaker 1: hit the floor, because you see it hit the ceiling
- 30:38Speaker 1: and then on its way down, the spaceship is awesome moving,
- 30:41Speaker 1: so it's kind of moving diagonally to hit the floor
- 30:45Speaker 1: where it's going to be exactly. And so the mirrors
- 30:48Speaker 1: and the clock move with the laser. Obviously they're all
- 30:50Speaker 1: going at the same speed sideways, and so the laser
- 30:53Speaker 1: beam hits the mirror on the top and it hits
- 30:55Speaker 1: the receiver or whatever on the bottom. But I see
- 30:57Speaker 1: you traveling further than you do, right, And this is
- 31:00Speaker 1: where the the absolute speed of light kicks in because
- 31:03Speaker 1: you say, okay, travel ten feet, right. It traveled those
- 31:06Speaker 1: ten feet at the speed of light, So I know
- 31:08Speaker 1: it takes ten seconds, but I see it traveled further. Right,
- 31:11Speaker 1: Depending on how fast you're going, it could have traveled
- 31:13Speaker 1: like fourteen fifteen feet, right, because light always travels at
- 31:17Speaker 1: the same speed. Right, I see it taking longer because
- 31:21Speaker 1: it's gone further and it can go faster than the
- 31:24Speaker 1: speed of light. It can go faster than the speed
- 31:26Speaker 1: of light. So I see your clock running slower. It
- 31:28Speaker 1: literally takes longer to count off seconds for you because
- 31:33Speaker 1: the clock is built on the premise that it takes
- 31:35Speaker 1: light a certain time to go a certain distance. But
- 31:38Speaker 1: now that distance is further and the speed can't change
- 31:40Speaker 1: because it's going up and down. The light is going
- 31:42Speaker 1: up and down, and it's trying to go forward to exactly,
- 31:45Speaker 1: so it has to take longer exactly. Now, if you
- 31:48Speaker 1: built this same kind of clock using something else, like
- 31:51Speaker 1: sound waves, right, you had a speaker, then this wouldn't
- 31:54Speaker 1: happen because the sound waves don't have that same property
- 31:57Speaker 1: that they always travel at the speed at a certain
- 31:59Speaker 1: speed relative to observers. Right. Um, sound waves, as we
- 32:03Speaker 1: know from Doppler shifts, change their speed based on how
- 32:06Speaker 1: fast you're going. So if this is a sound wave,
- 32:08Speaker 1: if we use sound waves instead, then I would just
- 32:10Speaker 1: see the sound waves is traveling faster. But light can't
- 32:13Speaker 1: do that. Light always travels to the same speed no
- 32:15Speaker 1: matter who the observer is. So it slows your clock down.
- 32:19Speaker 1: So let's let's go back a step. Um. Okay, So
- 32:21Speaker 1: so I'm gonna be in my spaceship counting how many
- 32:24Speaker 1: times it bounces off the ceiling, and for me, it's
- 32:26Speaker 1: going to be like bounce, bounce, bounce, bounce, bounds. But
- 32:29Speaker 1: for you, you're saying because it has to travel up
- 32:33Speaker 1: and down and forward. You're going to count it slower,
- 32:35Speaker 1: right like for you, it's going to be bounds, bounds, bounds,
- 32:40Speaker 1: And so that's kind of the definition of time. Yeah, exactly, exactly,
- 32:45Speaker 1: and any clock. And you're thinking, okay, well, that's just
- 32:47Speaker 1: one example, right, But the same argument holds for if
- 32:51Speaker 1: you're going in another direction, right, you don't have just
- 32:53Speaker 1: be going sideways. If you're shooting in the direction of
- 32:56Speaker 1: the mirror, right, then the light has longer to go
- 32:58Speaker 1: in one direction, but it can't make up the time.
- 33:01Speaker 1: And if you're going at an angle, the same thing happens.
- 33:04Speaker 1: And also for any clock. This is just one example.
- 33:07Speaker 1: It's the clearest example because we've built it out of
- 33:10Speaker 1: something that only uses light, but the true the same
- 33:13Speaker 1: happens for every physical process, for any kind of clock. Okay.
- 33:17Speaker 1: So that's kind of the explanation is that time, the
- 33:21Speaker 1: definition of time is sort of tied to the speed
- 33:24Speaker 1: of light, and the universe has this weird rule about
- 33:28Speaker 1: the speed of light, which is that nobody can never
- 33:30Speaker 1: see it move faster than the speed of light. That's right,
- 33:33Speaker 1: And the other important thing to understand is that your
- 33:35Speaker 1: definition of time and your definition of what happens depends
- 33:39Speaker 1: on how fast you are going. There is no absolute
- 33:41Speaker 1: sense of time. It's not like the universe has a
- 33:44Speaker 1: big clock out there and it's keeping track of what's
- 33:46Speaker 1: going on, and we're trying to make measures of measurements
- 33:48Speaker 1: of it, and they're kind of sloppy sometimes when we
- 33:50Speaker 1: get them wrong, Like there is no absolute sense of time, right,
- 33:54Speaker 1: And you can do crazy experiments where you know, depending
- 33:57Speaker 1: on how fast people are going relative to experiment, they
- 34:00Speaker 1: can see the order of events changing, like I can
- 34:03Speaker 1: see A happen before B, and you can see B
- 34:06Speaker 1: happen before A because you're zooming in the other direction.
- 34:09Speaker 1: And you might think, well, that's impossible either A happened
- 34:12Speaker 1: before B or BE happened before A. There is a
- 34:14Speaker 1: real truth, right, answer is there is no truth. The
- 34:17Speaker 1: truth is not out there. X Files was a lie.
- 34:21Speaker 1: So I feel like we should get into that in
- 34:22Speaker 1: another episode. But I think the conclusion we're reaching here
- 34:25Speaker 1: is that basically there is no time. After all, there's
- 34:30Speaker 1: no time to talk about this anymore. And that's true. No,
- 34:32Speaker 1: there is time, but time is a different thing that
- 34:34Speaker 1: you than you thought it was, right, It's something weirder
- 34:37Speaker 1: and more malleable now in our safe, little slow worlds,
- 34:40Speaker 1: it doesn't. You can pretend that time is the way
- 34:43Speaker 1: you thought it was right and you'll get by just fine.
- 34:46Speaker 1: But in reality, if you want to understand the way
- 34:48Speaker 1: that that physics works at its deepest level, whether universe
- 34:51Speaker 1: is actually put together, what the real rules are, that
- 34:53Speaker 1: it turns out time is really different than you thought
- 34:56Speaker 1: it was. So that person who answered there is no
- 34:59Speaker 1: time sort of, I feel like she skipped ahead to
- 35:02Speaker 1: the end of this count. She's probably a physicist visiting
- 35:05Speaker 1: from the future from Alpha centri. Is it her? Or
- 35:10Speaker 1: she's your cat evolved for thousands of years into a
- 35:14Speaker 1: future physicist and then traveled back in time to deliver
- 35:16Speaker 1: that message. I think she's your twin Danny. Maybe she is,
- 35:22Speaker 1: maybe she is. Well, speaking of time, I think we're
- 35:25Speaker 1: out of time for this episode, so it's time to
- 35:27Speaker 1: wrap it up. Thank you everyone for your patients and
- 35:29Speaker 1: for listening, And if you have questions about how things
- 35:32Speaker 1: work in the universe or anything else crazy, please send
- 35:35Speaker 1: them to us on Twitter or email us at feedback
- 35:38Speaker 1: at Daniel and Jorge dot com. We love listener questions. Yeah,
- 35:42Speaker 1: hopefully We made time move a little bit faster for you,
- 35:45Speaker 1: whatever it is you're doing, unless you were bored, which
- 35:49Speaker 1: is probably canceled out. If you still have a question
- 36:01Speaker 1: after listening to all these explanations, please drop us a line.
- 36:04Speaker 1: We'd love to hear from you. You can find us
- 36:07Speaker 1: at Facebook, Twitter, and Instagram at Daniel and Jorge That's
- 36:10Speaker 1: one word, or email us at Feedback at Daniel and
- 36:14Speaker 1: Orge dot com.