WEBVTT - Rerun: It's All Relative

0:00:04.400 --> 0:00:07.800
<v Speaker 1>Welcome to tech Stuff, a production from I Heart Radio.

0:00:12.440 --> 0:00:15.440
<v Speaker 1>Hey there, and welcome to tech Stuff. I'm your host,

0:00:15.600 --> 0:00:18.720
<v Speaker 1>Jonathan Strickland. I'm an executive producer with I Heart Radio.

0:00:18.920 --> 0:00:22.720
<v Speaker 1>And how the tech are you. Well, I'm still on vacation, y'all.

0:00:23.040 --> 0:00:25.560
<v Speaker 1>I'll be back soon. But in the meantime, we have

0:00:25.640 --> 0:00:29.640
<v Speaker 1>an episode that originally published on July one, twenty. It's

0:00:29.680 --> 0:00:32.960
<v Speaker 1>called It's All Relative. And when I was a kid,

0:00:33.000 --> 0:00:37.120
<v Speaker 1>I was convinced that Einstein's theories were the these super

0:00:37.240 --> 0:00:41.800
<v Speaker 1>complicated explanations of the universe that really had no real

0:00:42.000 --> 0:00:44.840
<v Speaker 1>intersection with my daily life. But as it turns out,

0:00:44.880 --> 0:00:48.920
<v Speaker 1>without an understanding of relativity, a lot of the technology

0:00:49.000 --> 0:00:53.400
<v Speaker 1>we rely upon wouldn't work properly. It's fascinating stuff. I

0:00:53.479 --> 0:01:00.000
<v Speaker 1>hope you enjoy. The hurts unit refers to the numb

0:01:00.120 --> 0:01:03.640
<v Speaker 1>or of repeated phenomena over the course of a second.

0:01:04.080 --> 0:01:07.959
<v Speaker 1>So imagine that you're dribbling a basketball, so that the

0:01:08.000 --> 0:01:11.040
<v Speaker 1>ball goes from your hand to the ground back up

0:01:11.080 --> 0:01:14.560
<v Speaker 1>to your hand once per second. Well, you could describe

0:01:14.640 --> 0:01:19.119
<v Speaker 1>your dribbling as being one hurts in frequency, one full

0:01:19.200 --> 0:01:23.119
<v Speaker 1>cycle per second. Up down, up, Now, if you dribbled

0:01:23.160 --> 0:01:26.119
<v Speaker 1>twice as fast, so that the ball went up down

0:01:26.280 --> 0:01:29.520
<v Speaker 1>up two full times per second, then there would be

0:01:29.680 --> 0:01:33.640
<v Speaker 1>two hurts. Well, we can describe lots of stuff with

0:01:33.760 --> 0:01:36.480
<v Speaker 1>the unit hurts. We use it to describe sounds, in

0:01:36.480 --> 0:01:40.720
<v Speaker 1>which case we're talking about the frequency at which stuff vibrates.

0:01:41.360 --> 0:01:45.200
<v Speaker 1>Typical human hearing spans a range of frequencies that at

0:01:45.240 --> 0:01:48.160
<v Speaker 1>the low end is that twenty hurts. That represents the

0:01:48.240 --> 0:01:50.680
<v Speaker 1>lowest pitches of sounds. So you can think of those

0:01:50.680 --> 0:01:54.760
<v Speaker 1>deep bass notes. That's around the twenty hurts of area uh,

0:01:54.800 --> 0:01:57.000
<v Speaker 1>and then it goes all the way up to twenty

0:01:57.120 --> 0:02:01.360
<v Speaker 1>killer hurts or twenty thousand hurts. That represents the very

0:02:01.440 --> 0:02:05.480
<v Speaker 1>highest pitches that people can typically here, And those frequencies

0:02:05.760 --> 0:02:10.000
<v Speaker 1>correlate to how quickly stuff is vibrating back and forth. Now,

0:02:10.000 --> 0:02:12.440
<v Speaker 1>when it comes to us hearing things, we usually mean

0:02:12.600 --> 0:02:16.520
<v Speaker 1>that we're talking about the vibrations and fluctuation and air pressure,

0:02:16.760 --> 0:02:20.160
<v Speaker 1>and those fluctuations and air pressure interact with our ear drums.

0:02:20.840 --> 0:02:23.240
<v Speaker 1>But we can use hurts to talk about all sorts

0:02:23.280 --> 0:02:27.160
<v Speaker 1>of stuff, including the processor speed of a CPU. In

0:02:27.200 --> 0:02:29.799
<v Speaker 1>that case, we're really talking about the number of clock

0:02:30.040 --> 0:02:33.560
<v Speaker 1>cycles per second, so you get it. This is a

0:02:33.639 --> 0:02:37.040
<v Speaker 1>description of the frequency of the number of times a

0:02:37.120 --> 0:02:40.320
<v Speaker 1>certain thing happens, like within a second. And I also

0:02:40.400 --> 0:02:43.720
<v Speaker 1>explained that we measure the rate at which we can

0:02:43.760 --> 0:02:47.600
<v Speaker 1>send data using the term bits. A bit is a

0:02:47.600 --> 0:02:51.000
<v Speaker 1>basic unit of digital information, and when we talk about computers,

0:02:51.200 --> 0:02:53.920
<v Speaker 1>we're talking about bits in the form of a zero

0:02:54.200 --> 0:02:58.400
<v Speaker 1>or a one binary information, just like your basic two

0:02:58.400 --> 0:03:02.480
<v Speaker 1>way physical switch has two positions off or on. So

0:03:02.520 --> 0:03:04.840
<v Speaker 1>if you hear a term like kill a bit, that

0:03:04.880 --> 0:03:08.519
<v Speaker 1>means one thousand bits, and a megabit is one million bits,

0:03:08.560 --> 0:03:13.519
<v Speaker 1>and a gigabit would be one billion bits. Likewise, megabits

0:03:13.560 --> 0:03:17.280
<v Speaker 1>per second tells us how many million bits can move

0:03:17.400 --> 0:03:20.720
<v Speaker 1>from one point to another per second over that connection.

0:03:21.120 --> 0:03:24.239
<v Speaker 1>So if you've got a one hundred megabit per second connection,

0:03:24.840 --> 0:03:28.400
<v Speaker 1>theoretically it would mean that up to one hundred million

0:03:28.480 --> 0:03:33.360
<v Speaker 1>bits can transfer across that communication channel per second, though

0:03:33.520 --> 0:03:36.400
<v Speaker 1>that's not how it works out most of the time,

0:03:36.440 --> 0:03:39.360
<v Speaker 1>but that's a matter for a different episode. I didn't

0:03:39.400 --> 0:03:43.640
<v Speaker 1>mention that this is different from something like megabytes. So

0:03:43.760 --> 0:03:47.000
<v Speaker 1>a bite is a unit that consists of eight bits,

0:03:47.840 --> 0:03:50.760
<v Speaker 1>and this gets confusing because we often describe stuff like

0:03:50.840 --> 0:03:55.000
<v Speaker 1>file sizes in terms of bites, but transfer speeds in

0:03:55.120 --> 0:03:58.280
<v Speaker 1>terms of bits. So let's say that you do have

0:03:58.400 --> 0:04:01.840
<v Speaker 1>that one hundred megabits person, I can download speed, and

0:04:02.000 --> 0:04:05.600
<v Speaker 1>you want to download a one hundred megabyte file, Well,

0:04:05.600 --> 0:04:09.440
<v Speaker 1>that means it's not going to take one second. It's

0:04:09.440 --> 0:04:12.520
<v Speaker 1>gonna take eight seconds to download the file, because a

0:04:12.520 --> 0:04:16.640
<v Speaker 1>megabyte is eight times larger than a megabit. And actually

0:04:17.160 --> 0:04:19.919
<v Speaker 1>even that is a little bit misleading because in computer

0:04:20.040 --> 0:04:23.320
<v Speaker 1>memory terms, we typically look at units of memory based

0:04:23.360 --> 0:04:27.440
<v Speaker 1>on powers of two rather than powers of ten. So

0:04:27.480 --> 0:04:31.040
<v Speaker 1>instead of a killer byte being one thousand bytes, it's

0:04:31.080 --> 0:04:35.400
<v Speaker 1>actually one thousand twenty four bytes. And there's no standardization

0:04:35.520 --> 0:04:38.760
<v Speaker 1>in the tech industry, so sometimes people will say a

0:04:38.839 --> 0:04:41.920
<v Speaker 1>kill a byte and they mean one thousand bytes. Sometimes

0:04:41.920 --> 0:04:43.960
<v Speaker 1>they'll say kill a byte and they mean one thousand

0:04:44.040 --> 0:04:47.160
<v Speaker 1>twenty four bytes, and you will want to tear your

0:04:47.200 --> 0:04:50.280
<v Speaker 1>hair out, and then you'll look like I do, I'm

0:04:50.320 --> 0:04:52.880
<v Speaker 1>bald if you didn't know. But this episode isn't about

0:04:52.880 --> 0:04:57.880
<v Speaker 1>the peculiarities of our naming conventions and the computer information age. Instead,

0:04:58.200 --> 0:05:02.080
<v Speaker 1>I wanted to tackle something else. It affects everything, really,

0:05:02.160 --> 0:05:04.680
<v Speaker 1>but in particular we really had to suss it out

0:05:04.760 --> 0:05:08.000
<v Speaker 1>in order to make certain types of satellites work properly.

0:05:08.279 --> 0:05:11.320
<v Speaker 1>And this is the concept of relativity. So in this

0:05:11.360 --> 0:05:14.599
<v Speaker 1>episode we're really going to learn why an understanding of

0:05:14.600 --> 0:05:19.320
<v Speaker 1>relativity is important if we want our certain satellite technologies

0:05:19.360 --> 0:05:22.159
<v Speaker 1>to work, and it serves as a great reminder that

0:05:22.240 --> 0:05:26.400
<v Speaker 1>technology is only really possible through an understanding of science.

0:05:26.760 --> 0:05:30.200
<v Speaker 1>You can think of tech as the physical manifestation of

0:05:30.240 --> 0:05:34.080
<v Speaker 1>our understanding of scientific principles, and that means if we

0:05:34.080 --> 0:05:37.760
<v Speaker 1>were wrong in our understanding of science, the technology shouldn't

0:05:37.800 --> 0:05:40.680
<v Speaker 1>really work. So in a way, you can think of

0:05:40.800 --> 0:05:44.720
<v Speaker 1>technology that works as evidence that the scientific method is

0:05:44.760 --> 0:05:48.800
<v Speaker 1>a darned good formula. Since we're talking about relativity, it

0:05:48.839 --> 0:05:52.160
<v Speaker 1>means we're gonna be talking about a real Einstein today.

0:05:52.320 --> 0:05:57.159
<v Speaker 1>His name was Einstein, which is convenient. But before we

0:05:57.200 --> 0:06:03.680
<v Speaker 1>get to Einstein, we have Galileo Galileo, Galileo Figaro. Wait no,

0:06:03.760 --> 0:06:08.320
<v Speaker 1>I'm sorry, Wait that's Bohemian Rhapsody. I meant Galileo galile This.

0:06:08.440 --> 0:06:12.680
<v Speaker 1>Galileo made an observation that if you've got two observers

0:06:13.000 --> 0:06:16.480
<v Speaker 1>moving at a constant speed and direction, so they're moving

0:06:16.520 --> 0:06:19.320
<v Speaker 1>at the same velocity, they will get the same results

0:06:19.400 --> 0:06:23.800
<v Speaker 1>for any experiment that involves moving stuff around a mechanical experiment.

0:06:24.520 --> 0:06:28.280
<v Speaker 1>This is easier to understand if we use an example,

0:06:28.640 --> 0:06:31.839
<v Speaker 1>and I like one that my colleague Robert Lamb used

0:06:31.880 --> 0:06:34.800
<v Speaker 1>when he wrote about relativity for how Stuff Works dot

0:06:34.800 --> 0:06:37.800
<v Speaker 1>Com back in the day. He used an example of

0:06:37.839 --> 0:06:41.760
<v Speaker 1>a train and a scientific ping pong ball. Alright, so

0:06:42.120 --> 0:06:45.000
<v Speaker 1>imagine you've got a scientist who's standing in the middle

0:06:45.040 --> 0:06:48.360
<v Speaker 1>of an aisle on a moving train, and the train

0:06:48.560 --> 0:06:51.320
<v Speaker 1>is moving at a steady speed in a straight line,

0:06:51.440 --> 0:06:56.160
<v Speaker 1>so there are no active forces of acceleration going on here. Remember,

0:06:56.400 --> 0:07:00.880
<v Speaker 1>acceleration describes a force that involves a chain and velocities.

0:07:01.000 --> 0:07:04.120
<v Speaker 1>That other means a change in direction or a change

0:07:04.160 --> 0:07:08.440
<v Speaker 1>in speed or both, but in this case constant speed

0:07:08.880 --> 0:07:13.520
<v Speaker 1>constant direction. Robert used nice round numbers in his examples,

0:07:13.560 --> 0:07:15.920
<v Speaker 1>so he suggested that the train is moving at one

0:07:16.320 --> 0:07:19.280
<v Speaker 1>miles per hour. Well it's not round. If we go

0:07:19.360 --> 0:07:22.840
<v Speaker 1>to the metric system, that would be one kilometers per hour.

0:07:23.360 --> 0:07:26.800
<v Speaker 1>If the train stays steady to the scientist, it will

0:07:26.840 --> 0:07:29.560
<v Speaker 1>feel as if that scientist is actually just standing still,

0:07:29.800 --> 0:07:33.720
<v Speaker 1>just anywhere, and we're conveniently ignoring an emotion that would

0:07:33.720 --> 0:07:36.960
<v Speaker 1>happen due to irregularities with the trains wheels or the

0:07:36.960 --> 0:07:39.680
<v Speaker 1>train tracks or anything like that. And if this is

0:07:39.720 --> 0:07:42.360
<v Speaker 1>hard for you to imagine, just think about how you

0:07:42.440 --> 0:07:46.040
<v Speaker 1>feel when you're standing still or sitting still or laying down.

0:07:46.240 --> 0:07:50.160
<v Speaker 1>Here on Earth. We know the Earth is moving through space.

0:07:50.800 --> 0:07:53.680
<v Speaker 1>It is a body in motion, but when we are

0:07:54.040 --> 0:07:58.640
<v Speaker 1>still relative to the Earth itself, we don't feel that motion.

0:07:58.960 --> 0:08:02.320
<v Speaker 1>Assuming there's not mother weird event going on like an earthquake,

0:08:02.360 --> 0:08:06.120
<v Speaker 1>which is something separate. But back to our hypothetical train,

0:08:06.640 --> 0:08:11.000
<v Speaker 1>the scientist tosses the ping pong ball down the aisle. Now,

0:08:11.080 --> 0:08:15.080
<v Speaker 1>from the scientist's perspective, this ping pong ball will travel

0:08:15.120 --> 0:08:18.840
<v Speaker 1>at whatever speed they threw it at. Robert actually suggests

0:08:18.880 --> 0:08:22.320
<v Speaker 1>a relatively gentle toss of five miles per hour or

0:08:22.320 --> 0:08:26.040
<v Speaker 1>eight kilometers per hour. The ping pong ball would bounce

0:08:26.200 --> 0:08:28.680
<v Speaker 1>down the aisle, just as it would if the scientists

0:08:28.680 --> 0:08:30.800
<v Speaker 1>were to toss the ball on a train that isn't

0:08:30.800 --> 0:08:35.079
<v Speaker 1>moving at all, or on just flat ground. However, let's

0:08:35.080 --> 0:08:38.640
<v Speaker 1>say we have a second observer who's not on the train.

0:08:38.679 --> 0:08:41.040
<v Speaker 1>They're standing off to the side, and they can see

0:08:41.080 --> 0:08:44.280
<v Speaker 1>through the train. To this person, it will appear as

0:08:44.320 --> 0:08:47.880
<v Speaker 1>if the ping pong ball is moving very fast. Indeed,

0:08:48.200 --> 0:08:52.120
<v Speaker 1>relative to this stationary observer, the ping pong ball will

0:08:52.160 --> 0:08:54.120
<v Speaker 1>appear to move at the speed at which it was

0:08:54.160 --> 0:08:57.960
<v Speaker 1>thrown in addition to the speed of the train itself.

0:08:58.320 --> 0:09:00.800
<v Speaker 1>So if we take the two figures, we get one

0:09:00.920 --> 0:09:03.960
<v Speaker 1>hundred five miles per hour or a hundred sixty nine

0:09:04.000 --> 0:09:09.920
<v Speaker 1>kilometers per hour. This is called a Galilean transformation. Alternatively,

0:09:10.240 --> 0:09:12.400
<v Speaker 1>if the scientists were throwing the ping pong ball in

0:09:12.440 --> 0:09:15.440
<v Speaker 1>the opposite direction of the trains travel, so they're facing

0:09:15.600 --> 0:09:17.920
<v Speaker 1>towards the back of the train, it would appear to

0:09:18.000 --> 0:09:21.040
<v Speaker 1>this second observer that the ping pong ball was moving

0:09:21.120 --> 0:09:24.040
<v Speaker 1>at a slightly slower speed than the overall train was,

0:09:24.200 --> 0:09:27.080
<v Speaker 1>whereas to the scientist on board, the ping pong ball

0:09:27.160 --> 0:09:30.280
<v Speaker 1>would still be traveling at that five mile per hour speed.

0:09:30.960 --> 0:09:35.400
<v Speaker 1>So this is where the term relativity comes into play.

0:09:35.480 --> 0:09:40.480
<v Speaker 1>The effects observed are relative to the perspective of the observer.

0:09:41.000 --> 0:09:44.680
<v Speaker 1>It's all based on the reference frame of that observer.

0:09:45.280 --> 0:09:47.640
<v Speaker 1>If you're on the train, then you're just looking at

0:09:47.640 --> 0:09:50.680
<v Speaker 1>a ping pong ball bouncing at a relatively slow speed

0:09:50.720 --> 0:09:53.280
<v Speaker 1>down the aisle. If you're not on the train, the

0:09:53.320 --> 0:09:56.840
<v Speaker 1>ping pong ball is moving quite fast, so it's all relative.

0:09:57.480 --> 0:10:00.800
<v Speaker 1>Isaac Newton would follow along and say, yeah, mate, this

0:10:00.840 --> 0:10:03.320
<v Speaker 1>old tracks. I don't know why I talked like that.

0:10:04.040 --> 0:10:07.280
<v Speaker 1>In his Laws of Motion, Newton stated that these laws

0:10:07.320 --> 0:10:10.800
<v Speaker 1>emotions should hold in an inertial frame as well as

0:10:10.880 --> 0:10:13.680
<v Speaker 1>a reference frame that was moving at a constant velocity

0:10:13.720 --> 0:10:16.800
<v Speaker 1>relative to the inertial frame. And inertial frame, by the way,

0:10:17.120 --> 0:10:19.160
<v Speaker 1>is just a frame of reference in which there are

0:10:19.280 --> 0:10:22.480
<v Speaker 1>zero net forces acting upon it, so that there are

0:10:22.520 --> 0:10:25.280
<v Speaker 1>no forces of acceleration in play. So in our example,

0:10:25.480 --> 0:10:28.040
<v Speaker 1>the train that we talked about, that would be our

0:10:28.080 --> 0:10:32.640
<v Speaker 1>inertial frame. All of this is fairly intuitive, but then

0:10:32.679 --> 0:10:36.560
<v Speaker 1>we get to something really tricky. Einstein would establish that

0:10:36.640 --> 0:10:39.240
<v Speaker 1>the speed of light in a vacuum is the fastest

0:10:39.240 --> 0:10:43.160
<v Speaker 1>speed in our universe. Nothing can go faster than that. Hey,

0:10:43.160 --> 0:10:45.760
<v Speaker 1>what if you're on the train that's traveling one per

0:10:45.840 --> 0:10:48.959
<v Speaker 1>hour and you're facing forward, you're facing the direction of travel,

0:10:49.440 --> 0:10:52.280
<v Speaker 1>and then you have a flashlight and you turn on

0:10:52.440 --> 0:10:55.560
<v Speaker 1>the flashlight. Well, doesn't that mean you should perform a

0:10:55.600 --> 0:10:59.360
<v Speaker 1>Galilean transformation on this and say the light from that

0:10:59.400 --> 0:11:02.600
<v Speaker 1>flashlight in your hands is actually traveling at the normal

0:11:02.640 --> 0:11:06.000
<v Speaker 1>speed of light on board the train, but also get

0:11:06.040 --> 0:11:08.400
<v Speaker 1>that boost of the trains travel, So it should be

0:11:08.400 --> 0:11:11.320
<v Speaker 1>the speed of light plus one miles per hour. Doesn't

0:11:11.320 --> 0:11:15.040
<v Speaker 1>that make sense? Well, according to actual experiments performed before

0:11:15.080 --> 0:11:19.640
<v Speaker 1>Einstein would come around to explain things, the answer was Nope,

0:11:19.640 --> 0:11:23.400
<v Speaker 1>doesn't look like it works that way. Scientists Edward Morley

0:11:23.440 --> 0:11:27.840
<v Speaker 1>and Albert A. Michelson created an experiment to measure the

0:11:27.840 --> 0:11:31.400
<v Speaker 1>speed of light back in seven and actually they were

0:11:31.400 --> 0:11:34.800
<v Speaker 1>looking for something else. They were looking for evidence of

0:11:34.800 --> 0:11:41.400
<v Speaker 1>a hypothetical substance called luminiferous ether. Say what, all right,

0:11:41.440 --> 0:11:44.680
<v Speaker 1>We'll stick with me, because in a way this does

0:11:44.760 --> 0:11:48.760
<v Speaker 1>make sense. Okay, So on Earth we see waves traveling

0:11:48.800 --> 0:11:52.200
<v Speaker 1>through a medium, right, Like if you look out in

0:11:52.240 --> 0:11:55.959
<v Speaker 1>the ocean, you can see actual waves in the water,

0:11:56.360 --> 0:11:59.200
<v Speaker 1>and the water is a physical medium through which these

0:11:59.200 --> 0:12:04.000
<v Speaker 1>waves travel. Sound can't travel in space because space is

0:12:04.080 --> 0:12:08.040
<v Speaker 1>effectively a vacuum. The particles that are in space are

0:12:08.080 --> 0:12:10.800
<v Speaker 1>so far apart from one another there's no way for

0:12:10.840 --> 0:12:14.240
<v Speaker 1>the vibration of one particle to come into contact and

0:12:14.280 --> 0:12:18.079
<v Speaker 1>affect another particle, so sound can't travel. Sound travels through

0:12:18.080 --> 0:12:22.160
<v Speaker 1>the propagation of vibrational waves, and if your stuff isn't

0:12:22.200 --> 0:12:24.520
<v Speaker 1>in contact with each other, there's no way for them

0:12:24.559 --> 0:12:27.640
<v Speaker 1>to have that wave propagate. So there has to be

0:12:27.720 --> 0:12:32.200
<v Speaker 1>some sort of medium like air or solid surfaces or

0:12:32.320 --> 0:12:37.120
<v Speaker 1>something in order for sound travel. Well, if that's the case,

0:12:37.480 --> 0:12:40.679
<v Speaker 1>said the folks of the time, then stuff like light

0:12:41.040 --> 0:12:43.760
<v Speaker 1>must need some sort of medium to travel through, right.

0:12:43.880 --> 0:12:45.960
<v Speaker 1>I mean sound has to have something. Light must have

0:12:46.040 --> 0:12:50.040
<v Speaker 1>something too. Light can definitely travel through space. I mean

0:12:50.040 --> 0:12:52.520
<v Speaker 1>that's how we can see anything, because light from the

0:12:52.559 --> 0:12:56.160
<v Speaker 1>Sun travels through space to hit the Earth. So the

0:12:56.240 --> 0:12:58.920
<v Speaker 1>light has to be moving through some sort of medium

0:12:58.960 --> 0:13:04.040
<v Speaker 1>we cannot observe directly. This hypothetical medium was the aforementioned

0:13:04.200 --> 0:13:09.600
<v Speaker 1>luminiferous ether. But assuming this ether existed at all, it

0:13:09.640 --> 0:13:12.839
<v Speaker 1>had to be pretty darn special because we can't feel it,

0:13:13.200 --> 0:13:17.440
<v Speaker 1>we can't detect it, it creates no observable effects, So

0:13:17.600 --> 0:13:20.520
<v Speaker 1>if it were real, it had to be unlike pretty

0:13:20.600 --> 0:13:24.520
<v Speaker 1>much anything else we had discovered up to that point. Now,

0:13:24.800 --> 0:13:29.040
<v Speaker 1>let's assume that the universe is filled with this ether stuff.

0:13:29.360 --> 0:13:33.000
<v Speaker 1>The question rises, how the heck does the ether interact

0:13:33.040 --> 0:13:35.440
<v Speaker 1>with all the physical stuff that's in the universe, the

0:13:35.440 --> 0:13:40.760
<v Speaker 1>actual matter and also energy. After all, the bodies in

0:13:40.880 --> 0:13:44.720
<v Speaker 1>space like stars, planets, moons, and all that other stuff.

0:13:44.960 --> 0:13:48.559
<v Speaker 1>All of that is moving, none of it is standing still,

0:13:48.800 --> 0:13:52.400
<v Speaker 1>and if it is moving, it would presumably disturb this

0:13:52.679 --> 0:13:56.520
<v Speaker 1>ether medium, right. I mean, if you move your hand

0:13:56.559 --> 0:13:59.360
<v Speaker 1>through a pool of water, you are disturbing that water.

0:13:59.440 --> 0:14:02.560
<v Speaker 1>You're making currents and eddies. So it was thought that

0:14:02.640 --> 0:14:06.000
<v Speaker 1>the motion of all these elements in space would disturb

0:14:06.080 --> 0:14:09.600
<v Speaker 1>the ether in some way, and hypothetically there would be

0:14:09.679 --> 0:14:13.760
<v Speaker 1>some sort of ether wind. But if there were a wind,

0:14:14.240 --> 0:14:17.920
<v Speaker 1>then presumably the speed of light would be affected depending

0:14:18.000 --> 0:14:22.080
<v Speaker 1>upon the wind's direction in relation to the lights direction.

0:14:22.400 --> 0:14:25.360
<v Speaker 1>So think of a really windy day in the real world.

0:14:25.720 --> 0:14:29.320
<v Speaker 1>If you're walking against a very very tough wind, like

0:14:29.360 --> 0:14:32.240
<v Speaker 1>a gale force wind, you have to power through it

0:14:32.280 --> 0:14:35.800
<v Speaker 1>to keep moving forward. Now, if you're walking with the wind,

0:14:36.160 --> 0:14:38.040
<v Speaker 1>like the wind is to your back and pushing you,

0:14:38.360 --> 0:14:41.120
<v Speaker 1>then you get a big boost. Well, the same thing

0:14:41.200 --> 0:14:45.160
<v Speaker 1>should be happening with light if ether wind were real,

0:14:45.800 --> 0:14:49.280
<v Speaker 1>and so Mickelson and Morley devised a gadget that would

0:14:49.280 --> 0:14:53.520
<v Speaker 1>split light into two beams, directing those beams down different

0:14:53.560 --> 0:14:57.520
<v Speaker 1>paths using mirrors in different directions, and seeing if those

0:14:57.560 --> 0:15:01.000
<v Speaker 1>two beams of light would hit an eyepiece at different times,

0:15:01.040 --> 0:15:05.120
<v Speaker 1>the thought being well, one of these directions would theoretically

0:15:05.160 --> 0:15:08.000
<v Speaker 1>be in the same direction as the ether wind, and

0:15:08.120 --> 0:15:10.880
<v Speaker 1>one would be at a cross direction of ether wind.

0:15:11.160 --> 0:15:13.120
<v Speaker 1>So we should see a difference in the amount of

0:15:13.120 --> 0:15:16.400
<v Speaker 1>time it takes for the light from this one source

0:15:16.600 --> 0:15:19.720
<v Speaker 1>that's been split into two to arrive at an eyepiece.

0:15:20.680 --> 0:15:25.440
<v Speaker 1>But that's not what they found. They observed no such effect.

0:15:25.560 --> 0:15:27.960
<v Speaker 1>So if there were such a thing as ether, the

0:15:28.000 --> 0:15:31.440
<v Speaker 1>stuff wasn't giving either a boost or a drag on

0:15:31.640 --> 0:15:34.720
<v Speaker 1>light itself. No matter what. The light was traveling at

0:15:34.760 --> 0:15:37.760
<v Speaker 1>a constant speed, which turned out to be approximately one

0:15:38.520 --> 0:15:41.640
<v Speaker 1>six thousand miles per second or around three hundred thousand

0:15:41.680 --> 0:15:45.320
<v Speaker 1>kilometers per second. Now that flew in the face of

0:15:45.440 --> 0:15:49.400
<v Speaker 1>classic Newtonian physics clearly. With the example of the ping

0:15:49.440 --> 0:15:52.000
<v Speaker 1>pong ball and the train, the ping pong ball has

0:15:52.080 --> 0:15:54.960
<v Speaker 1>to be traveling faster than the train it's on. I mean,

0:15:55.000 --> 0:15:57.200
<v Speaker 1>that just makes sense. If you were standing on the

0:15:57.240 --> 0:15:59.920
<v Speaker 1>top of the very front of the train, and then

0:16:00.040 --> 0:16:03.160
<v Speaker 1>you through the ping pong ball, and we ignore stuff

0:16:03.200 --> 0:16:06.680
<v Speaker 1>like wind resistance, the ping pong ball would land ahead

0:16:06.720 --> 0:16:09.120
<v Speaker 1>of the train, so it has to be going faster.

0:16:09.600 --> 0:16:12.280
<v Speaker 1>So what the heck was so special about light and

0:16:12.320 --> 0:16:14.680
<v Speaker 1>what was going on? Well, this was one of the

0:16:14.720 --> 0:16:18.480
<v Speaker 1>great mysteries that Albert Einstein's that is mine to unraveling,

0:16:18.760 --> 0:16:21.120
<v Speaker 1>and it formed the basis of one of his great

0:16:21.200 --> 0:16:24.280
<v Speaker 1>theories of relativity. And this would be the theory of

0:16:24.400 --> 0:16:28.000
<v Speaker 1>special relativity, which poses that the laws of physics are

0:16:28.000 --> 0:16:31.760
<v Speaker 1>in the same in all inertial frames of references. And

0:16:31.800 --> 0:16:33.560
<v Speaker 1>that means the speed of light will be the same

0:16:33.600 --> 0:16:38.160
<v Speaker 1>for all observers, regardless of their relative perspectives. It doesn't

0:16:38.200 --> 0:16:41.440
<v Speaker 1>matter the context. The speed of light is the speed

0:16:41.440 --> 0:16:44.840
<v Speaker 1>of light. Now, there's an implication to this theory that

0:16:44.960 --> 0:16:47.920
<v Speaker 1>really got people scratching their heads. If the speed of

0:16:48.000 --> 0:16:51.760
<v Speaker 1>light is absolutely constant, that would mean that stuff like

0:16:51.920 --> 0:16:55.920
<v Speaker 1>distance and time are not. And as a heck of

0:16:55.920 --> 0:16:59.280
<v Speaker 1>a brain teaser, when we come back, we'll explore this more.

0:17:07.920 --> 0:17:11.360
<v Speaker 1>Let's imagine that you live half a mile away from

0:17:11.359 --> 0:17:14.520
<v Speaker 1>a lovely park, and it's a half mile away in

0:17:14.560 --> 0:17:17.760
<v Speaker 1>the morning, it's a half mile away. At night, it's

0:17:17.800 --> 0:17:20.359
<v Speaker 1>a half mile away. On a Tuesday, it's a half

0:17:20.400 --> 0:17:24.320
<v Speaker 1>mile away. On a Saturday. Half a mile is half

0:17:24.359 --> 0:17:28.360
<v Speaker 1>a mile, right, it's a reliable constant in our lives.

0:17:28.440 --> 0:17:31.600
<v Speaker 1>If it weren't, we could never give directions to anywhere

0:17:31.680 --> 0:17:34.960
<v Speaker 1>because all the measurements and landmarks would change all the time,

0:17:35.240 --> 0:17:38.440
<v Speaker 1>and our world wouldn't make sense the way it does

0:17:38.480 --> 0:17:42.520
<v Speaker 1>to us now. So in our individual experiences, in our

0:17:42.600 --> 0:17:46.800
<v Speaker 1>day to day lives, stuff like distance seems pretty darn

0:17:46.880 --> 0:17:51.919
<v Speaker 1>reliable and fixed. So how dare Einstein come along with

0:17:51.960 --> 0:17:55.760
<v Speaker 1>this theory of special relativity in nineteen o five and say, well, yeah,

0:17:55.760 --> 0:17:59.879
<v Speaker 1>but see, the speed of light is really the true constant,

0:18:00.280 --> 0:18:03.920
<v Speaker 1>and for that to work, time and distance or space

0:18:04.000 --> 0:18:09.600
<v Speaker 1>in other words, must be somewhat mutable. Einstein positive that

0:18:09.680 --> 0:18:13.760
<v Speaker 1>there is no absolute frame of reference in our universe,

0:18:13.960 --> 0:18:17.040
<v Speaker 1>which means there is no place in the universe that

0:18:17.200 --> 0:18:21.919
<v Speaker 1>is totally stationary. Everything is moving, which means all motion

0:18:22.119 --> 0:18:25.280
<v Speaker 1>is relative. You can't really talk about moving except in

0:18:25.320 --> 0:18:29.280
<v Speaker 1>reference to some other moving thing. So even as we

0:18:29.520 --> 0:18:33.199
<v Speaker 1>sit still and try to meditate, we do so on

0:18:33.280 --> 0:18:37.320
<v Speaker 1>a planet that is hurtling through space. We are in motion.

0:18:37.520 --> 0:18:40.680
<v Speaker 1>We're all moving through space and time, and we all

0:18:40.760 --> 0:18:44.920
<v Speaker 1>have a frame of reference, and each frame of reference

0:18:45.280 --> 0:18:48.720
<v Speaker 1>is just as legitimate as every other frame of reference

0:18:49.400 --> 0:18:51.960
<v Speaker 1>or I guess you could say, if everybody is super,

0:18:52.160 --> 0:18:56.880
<v Speaker 1>nobody is. I guess I've watched The Incredibles too many times. Well, anyway,

0:18:56.920 --> 0:19:00.720
<v Speaker 1>this particular nineteen o five theory is called special relativity

0:19:00.920 --> 0:19:06.240
<v Speaker 1>because Einstein's explanation only covered special cases, that being when

0:19:06.359 --> 0:19:09.959
<v Speaker 1>two inertial frames are in constant motion with regard to

0:19:10.000 --> 0:19:13.080
<v Speaker 1>one another, and there can be no acceleration, so the

0:19:13.119 --> 0:19:15.280
<v Speaker 1>motion had to be in a straight line at a

0:19:15.320 --> 0:19:19.080
<v Speaker 1>constant speed. A change in direction or speed would be

0:19:19.119 --> 0:19:22.399
<v Speaker 1>an acceleration, and to cover those instances we would have

0:19:22.440 --> 0:19:25.000
<v Speaker 1>to wait a decade for Einstein to work out his

0:19:25.080 --> 0:19:28.680
<v Speaker 1>theory of general relativity. We'll get to that, but we've

0:19:28.680 --> 0:19:31.679
<v Speaker 1>got a lot more to say about special relativity. So

0:19:31.760 --> 0:19:34.760
<v Speaker 1>Einstein was taking a different approach to the results of

0:19:34.800 --> 0:19:38.199
<v Speaker 1>the experiments done by people like Michelson and Morley. The

0:19:38.280 --> 0:19:42.440
<v Speaker 1>scientific world at large was essentially saying, well, this can't

0:19:42.440 --> 0:19:45.080
<v Speaker 1>be right. These results can't be right. There must be

0:19:45.119 --> 0:19:48.680
<v Speaker 1>something wrong with the experiment or the equipment, because we're

0:19:48.760 --> 0:19:52.359
<v Speaker 1>sure this theory is correct and that ether is there.

0:19:52.920 --> 0:19:55.800
<v Speaker 1>Einstein was taking a totally different perspective. He was saying,

0:19:56.440 --> 0:20:00.720
<v Speaker 1>if we assume the experiments are producing accurate result, then

0:20:00.760 --> 0:20:04.080
<v Speaker 1>it stands to reason that the prevailing theory is flawed

0:20:04.400 --> 0:20:07.000
<v Speaker 1>and we have to figure out what the real explanation is.

0:20:07.359 --> 0:20:09.720
<v Speaker 1>And this is one of those important points in science.

0:20:10.240 --> 0:20:13.840
<v Speaker 1>It's that if your results in your experiment don't meet

0:20:13.880 --> 0:20:19.080
<v Speaker 1>your hypothesis, it's very possible that your hypothesis is wrong.

0:20:19.280 --> 0:20:22.399
<v Speaker 1>Now you need to do multiple experiments to find out

0:20:22.840 --> 0:20:25.480
<v Speaker 1>and to test your equipment make sure there's not any

0:20:25.600 --> 0:20:28.879
<v Speaker 1>errors there that could be causing the issues. But it

0:20:28.920 --> 0:20:31.760
<v Speaker 1>does mean that you need to re examine that hypothesis,

0:20:32.320 --> 0:20:36.440
<v Speaker 1>and at this time the scientific community wasn't really doing that,

0:20:37.080 --> 0:20:41.560
<v Speaker 1>so Einstein did away with the ether. His explanation suggested

0:20:41.600 --> 0:20:45.880
<v Speaker 1>that our observable universe has four dimensions, not that there

0:20:45.880 --> 0:20:49.080
<v Speaker 1>can only be four dimensions, but rather there are four

0:20:49.119 --> 0:20:56.720
<v Speaker 1>dimensions we can detect and observe, and these would be up, down, left, right, forward, backward,

0:20:57.119 --> 0:21:01.920
<v Speaker 1>and then the fourth dimension, which is time. Collectively, those

0:21:01.920 --> 0:21:05.640
<v Speaker 1>three dimensions are space. The fourth dimension is time, and

0:21:05.680 --> 0:21:10.639
<v Speaker 1>we get the space time continuum, this intrinsic relationship between

0:21:10.680 --> 0:21:14.600
<v Speaker 1>space and time or spacetime continuum, which also gives us

0:21:15.480 --> 0:21:17.800
<v Speaker 1>dozens of Star Trek episodes that would use it as

0:21:17.800 --> 0:21:21.520
<v Speaker 1>shorthand for things are about to get really weird. Einstein

0:21:21.600 --> 0:21:25.119
<v Speaker 1>positive that the speed of light is measured as constant

0:21:25.160 --> 0:21:28.320
<v Speaker 1>in all frames of reference. And let's think for a second.

0:21:28.600 --> 0:21:32.280
<v Speaker 1>What we mean by speed. Speed is a description of

0:21:32.320 --> 0:21:36.000
<v Speaker 1>how much distance can be covered per unit of time.

0:21:36.520 --> 0:21:39.479
<v Speaker 1>So a speed of one miles per hour means that

0:21:39.560 --> 0:21:42.199
<v Speaker 1>in one hour's time we will cover a distance of

0:21:42.240 --> 0:21:46.000
<v Speaker 1>one hundred miles. That's very obvious. But if the speed

0:21:46.000 --> 0:21:50.080
<v Speaker 1>of light is constant for all frames of reference, regardless

0:21:50.200 --> 0:21:53.000
<v Speaker 1>of how those frames are moving relative to each other,

0:21:53.640 --> 0:21:57.399
<v Speaker 1>that must mean something about space and or time is

0:21:57.440 --> 0:22:01.399
<v Speaker 1>a little wonky. And let's think about our train experiment again.

0:22:01.960 --> 0:22:04.600
<v Speaker 1>If you are aboard a train moving at a smooth

0:22:04.640 --> 0:22:07.679
<v Speaker 1>one hour in a straight line, and you toss a

0:22:07.720 --> 0:22:10.440
<v Speaker 1>ping pong ball straight up in the air, well, it's

0:22:10.440 --> 0:22:12.840
<v Speaker 1>gonna go straight up and come right back down to

0:22:12.880 --> 0:22:16.120
<v Speaker 1>your hand in a nice vertical line. From an outside

0:22:16.119 --> 0:22:18.720
<v Speaker 1>observer who isn't on the train, it would look a

0:22:18.760 --> 0:22:21.240
<v Speaker 1>little differently. You would throw the ball up at one

0:22:21.280 --> 0:22:24.480
<v Speaker 1>point relative to this outside observer, and the ball would

0:22:24.480 --> 0:22:27.560
<v Speaker 1>appear to move not just vertically, but horizontally before coming

0:22:27.560 --> 0:22:30.639
<v Speaker 1>back down. Now, if we repeat this experiment, but we

0:22:30.760 --> 0:22:34.200
<v Speaker 1>use light, we really see how it gets confusing. Okay,

0:22:34.240 --> 0:22:37.840
<v Speaker 1>so now you're on a train, but it's going really fast,

0:22:38.119 --> 0:22:41.320
<v Speaker 1>like let's say, half the speed of light, but the

0:22:41.400 --> 0:22:44.640
<v Speaker 1>speed and direction are constant. So you're on this train.

0:22:44.680 --> 0:22:48.480
<v Speaker 1>You don't feel any acceleration forces because you're moving at

0:22:48.480 --> 0:22:52.320
<v Speaker 1>a constant speed and a constant direction, so your velocity

0:22:52.359 --> 0:22:55.320
<v Speaker 1>remains the same. In fact, if there were no windows

0:22:55.359 --> 0:22:57.240
<v Speaker 1>on the train, you wouldn't even be able to tell

0:22:57.240 --> 0:22:59.760
<v Speaker 1>that the train was moving at all. So let's say

0:22:59.760 --> 0:23:02.520
<v Speaker 1>you've a laser pointer and you've got a mirror on

0:23:02.600 --> 0:23:05.600
<v Speaker 1>the ceiling of the train and a photon detector on

0:23:05.640 --> 0:23:08.200
<v Speaker 1>the floor of the train. You shoot the laser up

0:23:08.200 --> 0:23:11.320
<v Speaker 1>at the mirror, it reflects off the mirror, and then

0:23:11.359 --> 0:23:14.360
<v Speaker 1>it comes back down and hits the detector on the floor,

0:23:14.600 --> 0:23:17.080
<v Speaker 1>and it registers how long it took the light to

0:23:17.119 --> 0:23:20.280
<v Speaker 1>travel from your laser pointer to hit the detector. And

0:23:20.359 --> 0:23:23.159
<v Speaker 1>to you, the laser makes a vertical line. All that

0:23:23.200 --> 0:23:25.960
<v Speaker 1>makes sense, right, you can imagine that, But for our

0:23:26.080 --> 0:23:29.080
<v Speaker 1>outside observer who's not on the train, it would appear

0:23:29.160 --> 0:23:32.040
<v Speaker 1>as though the laser were actually traveling at a diagonal

0:23:32.359 --> 0:23:35.240
<v Speaker 1>up to that mirror and then a diagonal back down

0:23:35.359 --> 0:23:39.080
<v Speaker 1>towards the detector. So for one observer, the one on

0:23:39.119 --> 0:23:42.080
<v Speaker 1>the train, we have a straight line. It's vertical up down.

0:23:42.600 --> 0:23:45.520
<v Speaker 1>For the second observer off the train, we have an

0:23:45.560 --> 0:23:48.040
<v Speaker 1>angled path, sort of like how a billiard ball can

0:23:48.119 --> 0:23:50.000
<v Speaker 1>hit the side of a pool table and bounce off

0:23:50.000 --> 0:23:53.719
<v Speaker 1>at an angle. But this creates an apparent paradox. The

0:23:53.760 --> 0:23:57.000
<v Speaker 1>path viewed by you on the train is a straight line,

0:23:57.040 --> 0:24:00.359
<v Speaker 1>and by definition that is the shortest distance between two points.

0:24:00.840 --> 0:24:03.320
<v Speaker 1>The path observed by the person who is not on

0:24:03.359 --> 0:24:06.359
<v Speaker 1>the train is an angled line, and by definition that

0:24:06.440 --> 0:24:09.639
<v Speaker 1>has to be longer. The speed of light is constant

0:24:09.720 --> 0:24:13.200
<v Speaker 1>in both cases, but the distance is different between the

0:24:13.240 --> 0:24:16.879
<v Speaker 1>two points of reference. And because speed is distance divided

0:24:16.920 --> 0:24:19.960
<v Speaker 1>by time, if the distance is different, the time must

0:24:20.040 --> 0:24:25.880
<v Speaker 1>also be different between those two points of reference. Crazy

0:24:26.119 --> 0:24:29.560
<v Speaker 1>This brings us to the concept of time dilation. It also,

0:24:29.640 --> 0:24:34.080
<v Speaker 1>by the way, can affect distance. The faster and object gets,

0:24:34.640 --> 0:24:39.040
<v Speaker 1>the more squished it gets. So if you had this

0:24:39.160 --> 0:24:41.800
<v Speaker 1>train and you were to get up to near the

0:24:41.840 --> 0:24:45.160
<v Speaker 1>speed of light, the train to an outside observer would

0:24:45.160 --> 0:24:49.119
<v Speaker 1>appear to be shorter than it normally would be to

0:24:49.280 --> 0:24:53.080
<v Speaker 1>anyone inside the train, the dimensions would remain exactly the same.

0:24:53.320 --> 0:24:56.399
<v Speaker 1>You would not suddenly see a shorter train. It wouldn't

0:24:56.440 --> 0:24:58.960
<v Speaker 1>be like you were in that compressor scene in Star Wars.

0:24:59.280 --> 0:25:01.600
<v Speaker 1>The train would a to be normal. Only from an

0:25:01.600 --> 0:25:04.760
<v Speaker 1>outside observer who is not traveling at that speed would

0:25:04.760 --> 0:25:10.159
<v Speaker 1>it appear that the train itself was getting squished shorter. Likewise,

0:25:10.560 --> 0:25:14.320
<v Speaker 1>the faster something goes with respect to some other point

0:25:14.320 --> 0:25:18.080
<v Speaker 1>of reference that's important, the more quickly time appears to

0:25:18.119 --> 0:25:22.240
<v Speaker 1>pass for those at the other point of reference. Or alternatively,

0:25:22.600 --> 0:25:26.520
<v Speaker 1>the more slowly time seems to pass for the fast

0:25:26.640 --> 0:25:29.640
<v Speaker 1>moving thing from the frame of reference of the person

0:25:29.680 --> 0:25:33.080
<v Speaker 1>who's not moving fast. This gets really clunky. I know,

0:25:33.160 --> 0:25:35.480
<v Speaker 1>it gets confusing. So let's talk about space travel some more,

0:25:35.520 --> 0:25:39.000
<v Speaker 1>because examples actually make this way easier to explain. All right,

0:25:39.080 --> 0:25:42.040
<v Speaker 1>So let's say you've built a spaceship and this spaceship

0:25:42.080 --> 0:25:45.880
<v Speaker 1>can go wicked fast, like eight of the speed of light,

0:25:46.480 --> 0:25:49.560
<v Speaker 1>and you're gonna go on a year long jaunt out

0:25:49.600 --> 0:25:53.320
<v Speaker 1>in space, and your best friend is hanging back on Earth.

0:25:53.720 --> 0:25:57.080
<v Speaker 1>Now we now have our two frames of reference. We

0:25:57.160 --> 0:25:59.960
<v Speaker 1>have the spaceship and then we have the person on Earth.

0:26:00.280 --> 0:26:04.720
<v Speaker 1>So let's ignore accelerative forces for the moment, because we're

0:26:05.119 --> 0:26:07.600
<v Speaker 1>going to have to just focus on special relativity. We'll

0:26:07.640 --> 0:26:10.439
<v Speaker 1>get to general relativity in a moment. So you're in

0:26:10.480 --> 0:26:14.320
<v Speaker 1>your spaceship. You're zooming around at the speed of light,

0:26:14.720 --> 0:26:17.760
<v Speaker 1>and for you, time is passing normally. The seconds feel

0:26:17.760 --> 0:26:21.240
<v Speaker 1>like seconds, minutes feel like minutes, hours feel like hours, etcetera.

0:26:21.320 --> 0:26:24.439
<v Speaker 1>And you're on there for a full year. Back on Earth,

0:26:24.800 --> 0:26:27.720
<v Speaker 1>time is passing normally. For your best friend who's just

0:26:27.760 --> 0:26:31.000
<v Speaker 1>hanging out on Earth, they feel their seconds passed like seconds,

0:26:31.040 --> 0:26:34.679
<v Speaker 1>their minutes passing minutes, and so on. However, when we

0:26:34.720 --> 0:26:37.560
<v Speaker 1>look at the two of you in reference to one another,

0:26:37.840 --> 0:26:40.960
<v Speaker 1>something unusual happens. So to your best friend on Earth,

0:26:41.119 --> 0:26:44.359
<v Speaker 1>it looks like time is passing very slowly for you

0:26:44.560 --> 0:26:48.600
<v Speaker 1>aboard your spaceship. To you on your spaceship, it looks

0:26:48.640 --> 0:26:51.760
<v Speaker 1>like time is passing super fast for your friend back

0:26:51.800 --> 0:26:54.440
<v Speaker 1>on Earth. So when you do get back to Earth

0:26:54.480 --> 0:26:56.720
<v Speaker 1>a year later than the two of you enter the

0:26:56.800 --> 0:27:01.520
<v Speaker 1>same point of reference, things are weird. Your perspective, you've

0:27:01.560 --> 0:27:03.879
<v Speaker 1>only aged a year because you spend a year aboard

0:27:03.920 --> 0:27:06.199
<v Speaker 1>your spaceship, but a little more than a year and

0:27:06.240 --> 0:27:08.920
<v Speaker 1>a half has passed on Earth while you were gone.

0:27:09.359 --> 0:27:12.679
<v Speaker 1>Your calendars wouldn't line up anymore. The faster you go

0:27:12.800 --> 0:27:16.119
<v Speaker 1>relative to your frame of reference, the more pronounced the

0:27:16.160 --> 0:27:18.920
<v Speaker 1>time dilation. Now, I do want to be clear about this,

0:27:19.040 --> 0:27:22.399
<v Speaker 1>it's not really correct to say that as speed increases

0:27:22.480 --> 0:27:26.040
<v Speaker 1>time slows down. You have to always relay this in

0:27:26.160 --> 0:27:29.639
<v Speaker 1>terms of having another frame of reference, because within a

0:27:29.680 --> 0:27:34.160
<v Speaker 1>single frame of reference, time just passes normally. There's no difference.

0:27:34.400 --> 0:27:37.960
<v Speaker 1>By the way. This is also why star dates in

0:27:38.000 --> 0:27:40.919
<v Speaker 1>the Star Trek universe don't make a whole lot of sense.

0:27:41.359 --> 0:27:46.359
<v Speaker 1>They try to retroactively make it makes sense. But keeping

0:27:46.400 --> 0:27:49.160
<v Speaker 1>time when you're on a ship that can travel at

0:27:49.200 --> 0:27:51.160
<v Speaker 1>the speed of light or in the case of Star Trek,

0:27:51.640 --> 0:27:55.439
<v Speaker 1>magically going faster than the speed of light, and we

0:27:55.480 --> 0:27:58.639
<v Speaker 1>won't even get into warp speed. It all is crazy.

0:27:58.680 --> 0:28:02.200
<v Speaker 1>But and being able to use that and somehow related

0:28:02.280 --> 0:28:05.680
<v Speaker 1>to making sense on time passing on planets or space

0:28:05.680 --> 0:28:09.440
<v Speaker 1>stations or whatever, that's a huge mess. But it's also

0:28:09.520 --> 0:28:12.200
<v Speaker 1>outside of our episode, so we'll just leave it at that.

0:28:12.720 --> 0:28:15.760
<v Speaker 1>We don't notice the effects of special relativity in most

0:28:15.800 --> 0:28:18.119
<v Speaker 1>of our day to day lives because we are not

0:28:18.240 --> 0:28:21.119
<v Speaker 1>traveling fast enough relative to each other for it to

0:28:21.160 --> 0:28:24.800
<v Speaker 1>be a real factor most of the time. But it

0:28:24.840 --> 0:28:28.159
<v Speaker 1>does get even more weird. Were it possible to build

0:28:28.200 --> 0:28:31.160
<v Speaker 1>a spaceship that could travel at the speed of light,

0:28:31.720 --> 0:28:34.480
<v Speaker 1>and you were to take this sort of trip to

0:28:34.560 --> 0:28:38.320
<v Speaker 1>an outside observer, time would appear to stop for you

0:28:38.520 --> 0:28:42.720
<v Speaker 1>aboard your spaceship. Now if assuming this was even possible,

0:28:43.000 --> 0:28:45.680
<v Speaker 1>you would still experience time in your own frame of

0:28:45.720 --> 0:28:48.400
<v Speaker 1>reference as per normal, but your friend back on Earth

0:28:48.560 --> 0:28:51.640
<v Speaker 1>would see that it looked like you were frozen in time. However,

0:28:51.800 --> 0:28:54.520
<v Speaker 1>this is a mood point. Matter cannot travel at the

0:28:54.560 --> 0:28:58.680
<v Speaker 1>speed of light, so it's more of a thought experiment anyway. However,

0:28:59.000 --> 0:29:03.520
<v Speaker 1>we can actually det time dilation with extremely accurate time

0:29:03.520 --> 0:29:07.720
<v Speaker 1>measurement devices like atomic clocks. In fact, we've done it

0:29:08.280 --> 0:29:14.040
<v Speaker 1>in experiments. Scientists have synchronized two atomic clocks, and these

0:29:14.120 --> 0:29:18.160
<v Speaker 1>atomic clocks keep incredibly accurate time down to a matter

0:29:18.240 --> 0:29:23.040
<v Speaker 1>of nanoseconds, and a nanosecond is one billion of a second.

0:29:23.240 --> 0:29:27.000
<v Speaker 1>So one clock was kept stationary, you know, relatively speaking,

0:29:27.200 --> 0:29:31.000
<v Speaker 1>here on Earth. The other traveled aboard a high speed aircraft,

0:29:31.240 --> 0:29:33.800
<v Speaker 1>and at the end of the experiment they compared the

0:29:33.920 --> 0:29:37.320
<v Speaker 1>two clocks against each other, and the one that was

0:29:37.360 --> 0:29:41.160
<v Speaker 1>aboard the aircraft had measured less time than the one

0:29:41.240 --> 0:29:45.520
<v Speaker 1>that stayed on the ground on Earth, less time passed

0:29:45.880 --> 0:29:49.080
<v Speaker 1>on that aircraft relatively the amount of time passing on

0:29:49.160 --> 0:29:52.320
<v Speaker 1>the ground. It wasn't just that one clock was moving

0:29:52.360 --> 0:29:55.440
<v Speaker 1>more slowly than the other. Literally less time was passing

0:29:56.280 --> 0:29:59.840
<v Speaker 1>in reference to the other point of from the perspective

0:30:00.080 --> 0:30:03.080
<v Speaker 1>of the other point of reference, that is, the difference

0:30:03.160 --> 0:30:07.360
<v Speaker 1>was right in line with Einstein's calculations. Now, as we'll see,

0:30:07.560 --> 0:30:09.480
<v Speaker 1>this ends up being an important point when we get

0:30:09.480 --> 0:30:12.040
<v Speaker 1>to satellites. But we can't just jump on that yet.

0:30:12.080 --> 0:30:16.120
<v Speaker 1>We do need to take into consideration general relativity. So,

0:30:16.200 --> 0:30:19.120
<v Speaker 1>as I mentioned, special relativity only looks at frames of

0:30:19.160 --> 0:30:21.840
<v Speaker 1>reference that are in a constant and consistent motion with

0:30:21.840 --> 0:30:24.280
<v Speaker 1>regard to one another. There could be no change in

0:30:24.280 --> 0:30:28.240
<v Speaker 1>direction or speed because that introduces accelerative forces and that

0:30:28.320 --> 0:30:32.680
<v Speaker 1>changes things. So to take acceleration into account, Einstein proposed

0:30:32.720 --> 0:30:36.120
<v Speaker 1>his theory of general relativity ten years after his theory

0:30:36.200 --> 0:30:39.400
<v Speaker 1>of special relativity, so this would be nineteen fifteen for

0:30:39.440 --> 0:30:42.760
<v Speaker 1>those who are keeping track. This theory would incorporate the

0:30:42.800 --> 0:30:47.720
<v Speaker 1>force of gravity into Einstein's work, which means factoring in acceleration.

0:30:48.000 --> 0:30:51.680
<v Speaker 1>So in this theory, Einstein introduced the equivalence principle, which

0:30:51.840 --> 0:30:55.040
<v Speaker 1>says that gravity pulling in one direction is equivalent to

0:30:55.120 --> 0:30:59.280
<v Speaker 1>acceleration in another direction. So we can actually experience this.

0:30:59.520 --> 0:31:02.400
<v Speaker 1>It's easy to remember and imagine. Imagine getting on an

0:31:02.400 --> 0:31:05.720
<v Speaker 1>elevator and it's going up, and as it goes up,

0:31:05.760 --> 0:31:09.760
<v Speaker 1>you feel that sense of increased gravity pulling down on

0:31:09.880 --> 0:31:14.040
<v Speaker 1>you as the elevator accelerates. When the elevator is going down,

0:31:14.600 --> 0:31:17.760
<v Speaker 1>you feel a sense of decreased gravity as the elevator

0:31:17.760 --> 0:31:22.000
<v Speaker 1>accelerates downward. So gravity and acceleration are equivalent, which means

0:31:22.080 --> 0:31:25.240
<v Speaker 1>that it can also affect our measurements of space and time.

0:31:25.800 --> 0:31:30.920
<v Speaker 1>Einstein hypothesized that gravity was warping space time itself. Take

0:31:31.040 --> 0:31:36.920
<v Speaker 1>something that's really massive, like a huge dense star, that

0:31:36.960 --> 0:31:40.920
<v Speaker 1>would warp space time around it through its gravity, and

0:31:40.960 --> 0:31:44.760
<v Speaker 1>we can even observe this scientifically. Scientists have measured light

0:31:45.200 --> 0:31:50.120
<v Speaker 1>that has curved around massive stars. This is called gravitational lensing.

0:31:50.760 --> 0:31:53.440
<v Speaker 1>Now here's another thing that gets a bit confusing. The

0:31:53.480 --> 0:31:57.800
<v Speaker 1>effects of gravity on time mean that time passes differently

0:31:57.880 --> 0:32:01.520
<v Speaker 1>for objects in orbit when taken in reference to time

0:32:01.560 --> 0:32:06.800
<v Speaker 1>passing on Earth itself. Time passes faster in orbit than

0:32:06.880 --> 0:32:09.880
<v Speaker 1>it does on Earth. Now, again, this is a frame

0:32:09.920 --> 0:32:12.560
<v Speaker 1>of reference thing, because if you were on a spaceship

0:32:12.760 --> 0:32:16.480
<v Speaker 1>in orbit, your experience of time would feel exactly the

0:32:16.480 --> 0:32:19.400
<v Speaker 1>way it does when you are on Earth. It's only

0:32:19.480 --> 0:32:23.120
<v Speaker 1>when we look at this from two frames of reference

0:32:23.520 --> 0:32:25.960
<v Speaker 1>that we see how it doesn't match up. So what

0:32:26.040 --> 0:32:28.520
<v Speaker 1>does this all mean for satellites. Well, it means that

0:32:28.560 --> 0:32:32.240
<v Speaker 1>satellites in orbit have a couple of different relativistic effects

0:32:32.320 --> 0:32:35.160
<v Speaker 1>going on in our frame of reference here on Earth,

0:32:35.440 --> 0:32:39.400
<v Speaker 1>satellites are traveling faster than we are to maintain orbit,

0:32:39.680 --> 0:32:42.280
<v Speaker 1>which means that if we compare the passing of time

0:32:42.400 --> 0:32:46.200
<v Speaker 1>in each frame of reference, time would pass faster for

0:32:46.360 --> 0:32:50.680
<v Speaker 1>us than for the satellite. However, due to the gravitational

0:32:50.760 --> 0:32:53.800
<v Speaker 1>effect on space time, we also know that something in

0:32:53.960 --> 0:32:57.960
<v Speaker 1>orbit will have time passed faster for that thing then

0:32:58.000 --> 0:33:00.480
<v Speaker 1>we would experience here on Earth. So it's the opposite

0:33:00.560 --> 0:33:03.240
<v Speaker 1>of the effect of special relativity in a way, and

0:33:03.280 --> 0:33:06.920
<v Speaker 1>the effects of special relativity and general relativity don't actually

0:33:06.960 --> 0:33:10.320
<v Speaker 1>cancel each other out, which means ultimately that time on

0:33:10.360 --> 0:33:13.200
<v Speaker 1>a satellite and time down here on Earth are not

0:33:13.400 --> 0:33:16.239
<v Speaker 1>syncd up with reference to one another, and for some

0:33:16.320 --> 0:33:20.440
<v Speaker 1>types of satellites that's a problem. I'll explain more after

0:33:20.480 --> 0:33:32.360
<v Speaker 1>we take this quick break. To understand why relativity is

0:33:32.400 --> 0:33:36.400
<v Speaker 1>important with certain satellites, Let's talk about the Global Positioning

0:33:36.480 --> 0:33:40.280
<v Speaker 1>System or GPS. Now, this is the satellite system that

0:33:40.400 --> 0:33:42.800
<v Speaker 1>provides data back to Earth that makes it possible to

0:33:42.840 --> 0:33:46.960
<v Speaker 1>get precise coordinates using a GPS receiver. So how does

0:33:47.040 --> 0:33:50.000
<v Speaker 1>that work? Well, here on Earth, you could get a

0:33:50.120 --> 0:33:56.320
<v Speaker 1>very imprecise idea of your general coordinates through uh trilateration

0:33:56.840 --> 0:33:59.840
<v Speaker 1>using signals from cell phone towers. This works on a

0:34:00.040 --> 0:34:03.760
<v Speaker 1>fairly simple principle. So we know that the radio signals

0:34:03.920 --> 0:34:07.160
<v Speaker 1>sent to and from cell phones travel at essentially the

0:34:07.160 --> 0:34:10.960
<v Speaker 1>speed of light. So if a cell phone tower broadcasts

0:34:11.000 --> 0:34:14.239
<v Speaker 1>out a short command that just requests your phone to

0:34:14.320 --> 0:34:18.200
<v Speaker 1>respond back with a quick response a ping. In other words,

0:34:18.800 --> 0:34:21.160
<v Speaker 1>the amount of time it would take for the ping

0:34:21.200 --> 0:34:23.919
<v Speaker 1>to reach the cell tower could be used to work

0:34:24.000 --> 0:34:27.600
<v Speaker 1>backward and figure out how far away the phone is

0:34:27.840 --> 0:34:30.440
<v Speaker 1>from that cell phone tower. Because you know the speed

0:34:30.480 --> 0:34:33.319
<v Speaker 1>of travel, right is the speed of light, so you

0:34:33.360 --> 0:34:36.040
<v Speaker 1>also know how much time it took. That means you

0:34:36.040 --> 0:34:38.799
<v Speaker 1>can work backward to figure out the distance between those

0:34:38.840 --> 0:34:44.399
<v Speaker 1>two points. However, that's just a distance, there's no direction there. Now,

0:34:44.440 --> 0:34:47.560
<v Speaker 1>if you did this with multiple cell towers, the collective

0:34:47.640 --> 0:34:49.799
<v Speaker 1>data from those towers could be used to get a

0:34:49.880 --> 0:34:53.200
<v Speaker 1>rough estimate of where the phone is. So let's imagine

0:34:53.280 --> 0:34:56.040
<v Speaker 1>we've got a map, and on that map we've got

0:34:56.080 --> 0:35:00.200
<v Speaker 1>three cell towers A, B, n C. You can see

0:35:00.239 --> 0:35:03.359
<v Speaker 1>exactly where each one is. And let's say that you've

0:35:03.400 --> 0:35:06.920
<v Speaker 1>got a phone that's located somewhere within the broadcast range

0:35:07.000 --> 0:35:10.680
<v Speaker 1>of those three cell towers. Each tower sends a ping

0:35:10.680 --> 0:35:13.799
<v Speaker 1>to your phone, your phone responds with a ping back,

0:35:13.920 --> 0:35:17.960
<v Speaker 1>and you are given the amount of distance between your

0:35:18.000 --> 0:35:21.919
<v Speaker 1>phone and each of those three towers. Well, Tower as

0:35:22.000 --> 0:35:26.400
<v Speaker 1>result says that you are a mile away from Tower A,

0:35:26.840 --> 0:35:29.920
<v Speaker 1>so you actually have to draw a full circle around

0:35:30.000 --> 0:35:33.680
<v Speaker 1>Tower A to represent all the possible points you could

0:35:33.719 --> 0:35:35.759
<v Speaker 1>be that are one mile away from Tower A. So

0:35:35.840 --> 0:35:40.480
<v Speaker 1>you're drawing a mile radius around Tower A. Tower B

0:35:40.640 --> 0:35:44.400
<v Speaker 1>responds that you're within one point five miles of Tower B,

0:35:44.800 --> 0:35:46.640
<v Speaker 1>so you have to draw a circle around Tower B

0:35:46.800 --> 0:35:49.759
<v Speaker 1>to represent all the points where you could be that

0:35:49.800 --> 0:35:52.160
<v Speaker 1>are a mile and a half away from it. Now,

0:35:52.920 --> 0:35:55.000
<v Speaker 1>the circle from tower B in the circle from Tower

0:35:55.040 --> 0:35:58.400
<v Speaker 1>A should intersect each other at two points, but that

0:35:58.480 --> 0:36:01.040
<v Speaker 1>means you could be at either of those two points, right,

0:36:01.160 --> 0:36:03.759
<v Speaker 1>you could be an either overlap, So you don't have

0:36:03.880 --> 0:36:07.439
<v Speaker 1>enough information yet. By coordinating with tower C, and let's

0:36:07.440 --> 0:36:10.400
<v Speaker 1>say that one tells you you're within two miles, you

0:36:10.440 --> 0:36:13.520
<v Speaker 1>can draw a third circle, and the point where all

0:36:13.640 --> 0:36:18.040
<v Speaker 1>three circles would meet would be your general location. It's

0:36:18.080 --> 0:36:21.160
<v Speaker 1>not incredibly precise, but it does give you an idea

0:36:21.200 --> 0:36:25.520
<v Speaker 1>of where you are. The GPS constellation of satellites does

0:36:25.600 --> 0:36:27.759
<v Speaker 1>something similar, only we have to think of this in

0:36:27.880 --> 0:36:32.080
<v Speaker 1>terms of three dimensional space rather than a two dimensional map.

0:36:32.560 --> 0:36:36.080
<v Speaker 1>So a satellite sends out a high frequency, low power

0:36:36.239 --> 0:36:40.440
<v Speaker 1>radio signal and receivers pick that signal up. The receiver,

0:36:40.760 --> 0:36:43.759
<v Speaker 1>let's say it's your smartphone, doesn't have to send data

0:36:43.880 --> 0:36:46.320
<v Speaker 1>back up to the satellite, which is good because I

0:36:46.320 --> 0:36:49.560
<v Speaker 1>would be an enormous drain on your smartphones power. So

0:36:49.640 --> 0:36:53.600
<v Speaker 1>really it's just listening for these signals. Now, the receiver

0:36:53.640 --> 0:36:57.920
<v Speaker 1>and satellite both run the same digital pattern relative to

0:36:58.239 --> 0:37:01.560
<v Speaker 1>a specific time stamp. It's easy if we think of

0:37:01.560 --> 0:37:04.279
<v Speaker 1>this as midnight. So let's say that midnight hits and

0:37:04.360 --> 0:37:08.560
<v Speaker 1>this particular digital pattern starts both on the satellite and

0:37:08.960 --> 0:37:11.920
<v Speaker 1>the receiver, so they're both running the exact same pattern.

0:37:12.239 --> 0:37:15.240
<v Speaker 1>The satellite beams out a signal carrying this digital pattern.

0:37:15.520 --> 0:37:18.399
<v Speaker 1>The satellite is far away, so it takes a little time,

0:37:18.600 --> 0:37:20.440
<v Speaker 1>you know, not much, but a little time for that

0:37:20.520 --> 0:37:23.960
<v Speaker 1>signal to get to your receiver. And the lag between

0:37:24.040 --> 0:37:27.600
<v Speaker 1>the pattern that's playing on your receiver and the signal

0:37:28.040 --> 0:37:31.120
<v Speaker 1>of that same pattern coming in from the satellite tells

0:37:31.160 --> 0:37:34.920
<v Speaker 1>the receiver how far away it is from that particular satellite.

0:37:34.960 --> 0:37:37.759
<v Speaker 1>Because again we know that the signal is moving at

0:37:37.800 --> 0:37:40.440
<v Speaker 1>the speed of the transmission itself, and that's the speed

0:37:40.440 --> 0:37:43.520
<v Speaker 1>of light, and that's a constant. So now the receiver

0:37:43.600 --> 0:37:46.600
<v Speaker 1>knows how far away it is from that one satellite.

0:37:47.120 --> 0:37:50.520
<v Speaker 1>And because the orbits of these satellites are predictable, the

0:37:50.560 --> 0:37:53.640
<v Speaker 1>receiver has a record of where that satellite should be

0:37:53.760 --> 0:37:56.800
<v Speaker 1>relative to the your surface. Occasionally we have to tweak

0:37:56.960 --> 0:38:00.840
<v Speaker 1>that record because stuff like gravity can pull a satellite

0:38:00.840 --> 0:38:03.400
<v Speaker 1>slightly out of position over time, so that actually is

0:38:03.440 --> 0:38:06.520
<v Speaker 1>something that has to be addressed on occasion. Now this

0:38:06.600 --> 0:38:10.680
<v Speaker 1>receiver will do this with at least four satellites. The

0:38:10.800 --> 0:38:14.880
<v Speaker 1>why four and not three, and I gave the three

0:38:14.880 --> 0:38:18.480
<v Speaker 1>cell phone tower examples. Well, it's because the clocks on

0:38:18.640 --> 0:38:21.960
<v Speaker 1>satellites and the clock that's running on the device that

0:38:22.040 --> 0:38:25.080
<v Speaker 1>the receiver is built into may not be in and

0:38:25.120 --> 0:38:29.520
<v Speaker 1>really aren't truly synchronized. And the intersection of four spheres

0:38:29.680 --> 0:38:34.680
<v Speaker 1>of distance like these four spheres represent the various ranges

0:38:34.719 --> 0:38:38.200
<v Speaker 1>that these satellites are finding themselves in. With regard to

0:38:38.239 --> 0:38:43.680
<v Speaker 1>this receiver can only intersect at one point. That's the

0:38:43.719 --> 0:38:47.680
<v Speaker 1>only place they could all intersect. So if a GPS

0:38:47.719 --> 0:38:50.279
<v Speaker 1>receiver's clock is not matching up to the clocks on

0:38:50.320 --> 0:38:53.279
<v Speaker 1>the satellites, there will be no intersection at all, and

0:38:53.320 --> 0:38:55.640
<v Speaker 1>the receiver will say, well, I can't find an intersection,

0:38:55.719 --> 0:38:58.120
<v Speaker 1>so that I know that means my clock is off

0:38:58.280 --> 0:39:01.520
<v Speaker 1>from all the other clocks, and it will then adjust

0:39:01.600 --> 0:39:04.239
<v Speaker 1>its own clock to be an alignment so that the

0:39:04.280 --> 0:39:07.920
<v Speaker 1>four spheres have a point of intersection and that is

0:39:08.080 --> 0:39:11.400
<v Speaker 1>your location on Earth now. In order for our receivers

0:39:11.440 --> 0:39:13.799
<v Speaker 1>to be able to do this, the accuracy of the

0:39:13.840 --> 0:39:17.960
<v Speaker 1>atomic clocks aboard those GPS satellites has to be accurate

0:39:18.040 --> 0:39:23.360
<v Speaker 1>within twenty to thirty nanoseconds. And remember a nanosecond is

0:39:23.360 --> 0:39:28.000
<v Speaker 1>one billionth of a second. That is an astiunding level

0:39:28.040 --> 0:39:31.400
<v Speaker 1>of accuracy. And because these satellites are in motion and

0:39:31.480 --> 0:39:35.440
<v Speaker 1>they are also affected by Earth's gravity, they are subject

0:39:35.440 --> 0:39:39.239
<v Speaker 1>to the effects of special and general relativity, and this

0:39:39.320 --> 0:39:42.480
<v Speaker 1>means we actually have to make calculations to take that

0:39:42.680 --> 0:39:47.560
<v Speaker 1>into account. Now, according to special relativity and the relative

0:39:47.600 --> 0:39:50.560
<v Speaker 1>speeds of satellites to a fixed point on the surface

0:39:50.600 --> 0:39:54.240
<v Speaker 1>of the Earth, we would expect the atomic clock aboard

0:39:54.280 --> 0:39:59.000
<v Speaker 1>that satellite to register seven fewer micro seconds per day

0:39:59.040 --> 0:40:01.919
<v Speaker 1>than a clock on Earth because these satellites are moving

0:40:01.960 --> 0:40:06.319
<v Speaker 1>through space faster than we are, relatively speaking, So that

0:40:06.360 --> 0:40:09.160
<v Speaker 1>means from our frame of reference, time is passing more

0:40:09.239 --> 0:40:14.160
<v Speaker 1>slowly on that satellite than it does here on Earth. Ah.

0:40:14.200 --> 0:40:18.640
<v Speaker 1>But general relativity comes into play too, and general relativity

0:40:18.680 --> 0:40:22.920
<v Speaker 1>tells us that the Earth's gravity warps space time around

0:40:22.920 --> 0:40:27.080
<v Speaker 1>our planet. And one of general relativity's predictions is that

0:40:27.160 --> 0:40:31.040
<v Speaker 1>a clock closer to a massive object, so like a

0:40:31.120 --> 0:40:35.920
<v Speaker 1>clock here on Earth, will take more slowly than a

0:40:36.040 --> 0:40:40.320
<v Speaker 1>clock that is further out from that same massive object.

0:40:40.640 --> 0:40:43.440
<v Speaker 1>So the closer the clock is to the massive object,

0:40:43.480 --> 0:40:47.440
<v Speaker 1>the less time it will experience it will measure compared

0:40:47.480 --> 0:40:49.919
<v Speaker 1>to a clock this further away, which is crazy, right.

0:40:50.640 --> 0:40:55.319
<v Speaker 1>So taking only general relativity into account, we would see

0:40:55.320 --> 0:40:58.080
<v Speaker 1>that a clock aboard one of these satellites would register

0:40:58.560 --> 0:41:02.200
<v Speaker 1>more time having past on that satellite than a clock

0:41:02.400 --> 0:41:06.000
<v Speaker 1>here on Earth, meaning from our frame of reference, time

0:41:06.080 --> 0:41:09.680
<v Speaker 1>is actually passing faster on those satellites than it does

0:41:09.920 --> 0:41:13.320
<v Speaker 1>here for us. This would come out to about forty

0:41:13.320 --> 0:41:16.319
<v Speaker 1>five micro seconds a day, meaning that at the end

0:41:16.360 --> 0:41:19.279
<v Speaker 1>of day one, the clock aboard that satellite would be

0:41:19.360 --> 0:41:22.479
<v Speaker 1>ahead of a clock here on Earth by forty five

0:41:22.600 --> 0:41:26.719
<v Speaker 1>micro seconds, and this would continue day after day, with

0:41:26.880 --> 0:41:30.400
<v Speaker 1>the gap growing wider every single day. Now, when we

0:41:30.480 --> 0:41:36.000
<v Speaker 1>bring both special and general relativity together into consideration, we

0:41:36.160 --> 0:41:38.719
<v Speaker 1>see that they don't just cancel each other out right,

0:41:39.040 --> 0:41:42.279
<v Speaker 1>because we've got that seven micro second lag due to

0:41:42.320 --> 0:41:45.760
<v Speaker 1>special relativity, but we have the forty five micro second

0:41:45.960 --> 0:41:49.799
<v Speaker 1>surge due to general relativity. So in the end we're

0:41:49.800 --> 0:41:54.080
<v Speaker 1>looking at a thirty eight micro second difference per day

0:41:54.120 --> 0:41:56.840
<v Speaker 1>between a clock on a satellite and a clock here

0:41:56.920 --> 0:42:00.040
<v Speaker 1>on Earth. The clocks on the satellites will get a

0:42:00.080 --> 0:42:02.440
<v Speaker 1>head of similar clocks here on Earth by thirty eight

0:42:02.480 --> 0:42:06.719
<v Speaker 1>microseconds every single day. And while a microsecond is a

0:42:06.840 --> 0:42:09.239
<v Speaker 1>very small amount of time, I mean we're talking at

0:42:09.239 --> 0:42:12.479
<v Speaker 1>a level that we don't typically experience. We don't think

0:42:12.480 --> 0:42:16.120
<v Speaker 1>of time in microseconds for our day to day lives. However,

0:42:16.560 --> 0:42:21.120
<v Speaker 1>thirty eight microseconds is equal to thirty eight thousand nanoseconds,

0:42:21.440 --> 0:42:24.320
<v Speaker 1>and if you're looking for an accuracy of around twenty

0:42:24.360 --> 0:42:28.600
<v Speaker 1>to thirty nanoseconds, this becomes an enormous problem if we

0:42:28.680 --> 0:42:31.799
<v Speaker 1>don't take it into account. And this brings us background

0:42:31.800 --> 0:42:33.800
<v Speaker 1>to something I mentioned at the top of the show.

0:42:34.520 --> 0:42:38.000
<v Speaker 1>We know that Einstein was right about relativity because we

0:42:38.080 --> 0:42:41.879
<v Speaker 1>have to account for it with technology like GPS. If

0:42:41.920 --> 0:42:45.200
<v Speaker 1>we didn't take it into account, if we didn't factor

0:42:45.280 --> 0:42:49.120
<v Speaker 1>in the effects of relativity, our GPS wouldn't work for

0:42:49.239 --> 0:42:52.920
<v Speaker 1>very long at all. Our technology proves that the science

0:42:53.080 --> 0:42:56.080
<v Speaker 1>is real, or else the tech would fail at what

0:42:56.160 --> 0:42:59.239
<v Speaker 1>it needs to do. Now. In general, I think that's

0:42:59.280 --> 0:43:01.279
<v Speaker 1>a great let us And to take home, there are

0:43:01.320 --> 0:43:04.400
<v Speaker 1>a lot of voices out there that call science into question,

0:43:04.960 --> 0:43:07.520
<v Speaker 1>and some of them are more outlandish than others. A

0:43:07.560 --> 0:43:11.080
<v Speaker 1>person who is passionately and sincerely arguing that the Earth

0:43:11.200 --> 0:43:14.680
<v Speaker 1>is flat seems pretty far out there for me because

0:43:14.840 --> 0:43:17.600
<v Speaker 1>so much of our technology we've built upon and we

0:43:17.640 --> 0:43:21.480
<v Speaker 1>rely upon wouldn't work if that were true. Even if

0:43:21.520 --> 0:43:25.920
<v Speaker 1>you can't experience something directly, such as having a meaningful

0:43:26.120 --> 0:43:30.239
<v Speaker 1>experience of time dilation, a ton of the stuff we

0:43:30.360 --> 0:43:33.719
<v Speaker 1>do experience on a day to day basis is affected

0:43:33.760 --> 0:43:36.920
<v Speaker 1>by this stuff, and it proves the existence and also

0:43:37.040 --> 0:43:40.480
<v Speaker 1>the benefits of having the scientific method. Now give a

0:43:40.520 --> 0:43:44.000
<v Speaker 1>little side note on GPS to kind of wrap this up.

0:43:44.040 --> 0:43:47.560
<v Speaker 1>The original GPS configuration came out of a United States

0:43:47.600 --> 0:43:51.360
<v Speaker 1>Department a defense project. The original purpose was to provide

0:43:51.400 --> 0:43:55.880
<v Speaker 1>positioning information for government and military, but specifically the United

0:43:55.880 --> 0:43:58.400
<v Speaker 1>States and its allies, and for that reason, the U

0:43:58.480 --> 0:44:02.520
<v Speaker 1>S Government wished to restrict access to this technology. The

0:44:02.640 --> 0:44:04.920
<v Speaker 1>general line of thought was that it would be better

0:44:05.280 --> 0:44:07.600
<v Speaker 1>if the U. S didn't allow tech that could, you know,

0:44:08.160 --> 0:44:12.400
<v Speaker 1>give precise coordinates for stuff like military bases or the

0:44:12.400 --> 0:44:15.880
<v Speaker 1>position of various military units to people who didn't belong

0:44:15.960 --> 0:44:19.480
<v Speaker 1>to those divisions. So, as a matter of national security,

0:44:19.760 --> 0:44:24.239
<v Speaker 1>the US guarded this technology civilian receivers. So if you

0:44:24.239 --> 0:44:26.880
<v Speaker 1>went out and you bought a GPS receiver, you could

0:44:26.920 --> 0:44:31.719
<v Speaker 1>get public GPS signals. But the United States was purposefully

0:44:31.920 --> 0:44:37.040
<v Speaker 1>instituting a policy called selective availability, which was an intentional

0:44:37.200 --> 0:44:42.719
<v Speaker 1>degradation of public GPS signals. They were introducing errors on

0:44:43.000 --> 0:44:47.440
<v Speaker 1>purpose so that GPS receivers couldn't get an accurate location.

0:44:47.480 --> 0:44:52.319
<v Speaker 1>It limited accuracy to around fifty meters horizontally in a

0:44:52.360 --> 0:44:56.000
<v Speaker 1>hundred meters vertically, and effectively, that meant that you wouldn't

0:44:56.040 --> 0:44:59.920
<v Speaker 1>really know your precise coordinates. You certainly couldn't use a

0:45:00.040 --> 0:45:04.440
<v Speaker 1>GPS receiver as a turn by turn directions tool because

0:45:04.480 --> 0:45:07.200
<v Speaker 1>you wouldn't even necessarily show up on the right street.

0:45:07.840 --> 0:45:10.239
<v Speaker 1>You wouldn't know if you were approaching your turn or

0:45:10.239 --> 0:45:12.960
<v Speaker 1>if you had already passed it. It was it was

0:45:13.040 --> 0:45:15.520
<v Speaker 1>not practical for that. It was only in the year

0:45:15.600 --> 0:45:19.240
<v Speaker 1>two thousand, when US President Bill Clinton directed the government

0:45:19.320 --> 0:45:23.760
<v Speaker 1>to end selective availability, that civilian GPS receivers could actually

0:45:23.800 --> 0:45:27.320
<v Speaker 1>get accurate data. And that's what made the modern GPS

0:45:27.400 --> 0:45:31.760
<v Speaker 1>receivers and stuff like our phones possible. So before two thousand,

0:45:31.960 --> 0:45:34.840
<v Speaker 1>GPS receivers didn't work very well for the average person,

0:45:35.320 --> 0:45:38.160
<v Speaker 1>but it wasn't because the technology was bad or that

0:45:38.239 --> 0:45:41.239
<v Speaker 1>the science was wrong. It worked that way, or if

0:45:41.239 --> 0:45:44.680
<v Speaker 1>you prefer it, it didn't work properly on purpose. And

0:45:44.760 --> 0:45:48.200
<v Speaker 1>that wraps up this episode about relativity and why it's

0:45:48.239 --> 0:45:51.239
<v Speaker 1>important with technology, and it's not just satellite tech, but

0:45:51.280 --> 0:45:53.960
<v Speaker 1>that's a big one, and it also ends up being

0:45:54.040 --> 0:45:56.920
<v Speaker 1>a big thorn in the side for science fiction authors

0:45:56.960 --> 0:46:00.399
<v Speaker 1>who want to write about interstellar travel at ser than

0:46:00.480 --> 0:46:04.879
<v Speaker 1>light speeds, because you have to start finding alternative explanations

0:46:04.920 --> 0:46:08.480
<v Speaker 1>for how that's possible, because we we've come up against

0:46:08.480 --> 0:46:12.440
<v Speaker 1>these limits that Einstein predicted, and so far his predictions

0:46:12.440 --> 0:46:14.920
<v Speaker 1>have held true. So in order to travel faster than

0:46:14.960 --> 0:46:16.960
<v Speaker 1>the speed of light, you do have to create something

0:46:17.040 --> 0:46:21.839
<v Speaker 1>like warp drive, which theoretically warps space around you, So

0:46:21.960 --> 0:46:26.560
<v Speaker 1>rather than traveling faster than light, you're decreasing the distance

0:46:26.640 --> 0:46:30.399
<v Speaker 1>between your point of origin and your destination. It would

0:46:30.400 --> 0:46:32.280
<v Speaker 1>be kind of like taking a map of the United

0:46:32.320 --> 0:46:35.359
<v Speaker 1>States and saying I'm going to travel from Atlanta to

0:46:35.480 --> 0:46:38.880
<v Speaker 1>Los Angeles, from one coast to the other, but instead

0:46:38.880 --> 0:46:41.719
<v Speaker 1>of drawing a line from Atlanta to l A, you

0:46:41.800 --> 0:46:44.319
<v Speaker 1>just fold the map so that the two dots are

0:46:44.360 --> 0:46:46.360
<v Speaker 1>next to each other, and then you draw a line

0:46:46.440 --> 0:46:49.160
<v Speaker 1>that way. That's how warp speed is supposed to work,

0:46:49.280 --> 0:46:51.279
<v Speaker 1>because it's the only way you can get around the

0:46:51.320 --> 0:46:53.600
<v Speaker 1>fact that you can't really go faster than the speed

0:46:53.600 --> 0:46:57.000
<v Speaker 1>of light. But that's a topic for another show. If

0:46:57.040 --> 0:46:59.840
<v Speaker 1>you guys have suggestions for future topics I should tackle,

0:47:00.120 --> 0:47:02.960
<v Speaker 1>please let me know. Send me a message on Twitter.

0:47:03.200 --> 0:47:06.439
<v Speaker 1>The handle is text stuff H s W and I'll

0:47:06.440 --> 0:47:15.719
<v Speaker 1>talk to you again really soon y. Text Stuff is

0:47:15.719 --> 0:47:18.920
<v Speaker 1>an I Heart Radio production. For more podcasts from I

0:47:19.000 --> 0:47:22.600
<v Speaker 1>Heart Radio, visit the i heart Radio app, Apple Podcasts,

0:47:22.719 --> 0:47:24.720
<v Speaker 1>or wherever you listen to your favorite shows.