[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.00,0:00:01.68,Default,,0000,0000,0000,,We start with a point Dialogue: 0,0:00:02.60,0:00:04.67,Default,,0000,0000,0000,,like the "point" we know from geometry Dialogue: 0,0:00:04.67,0:00:06.94,Default,,0000,0000,0000,,it has no size, no dimension Dialogue: 0,0:00:06.94,0:00:08.67,Default,,0000,0000,0000,,It's just an imaginary idea that Dialogue: 0,0:00:08.67,0:00:10.59,Default,,0000,0000,0000,,indicates a position in the system Dialogue: 0,0:00:10.59,0:00:11.90,Default,,0000,0000,0000,,a second point, then Dialogue: 0,0:00:11.90,0:00:13.09,Default,,0000,0000,0000,,can be used to indicate Dialogue: 0,0:00:13.09,0:00:14.54,Default,,0000,0000,0000,,a different position Dialogue: 0,0:00:14.54,0:00:17.43,Default,,0000,0000,0000,,but it, too, is of indeterminate size Dialogue: 0,0:00:17.43,0:00:19.19,Default,,0000,0000,0000,,To create the first dimension Dialogue: 0,0:00:19.19,0:00:20.33,Default,,0000,0000,0000,,all we need is a line Dialogue: 0,0:00:20.33,0:00:21.61,Default,,0000,0000,0000,,joining any two points. Dialogue: 0,0:00:22.52,0:00:25.20,Default,,0000,0000,0000,,A first dimensional object has length only Dialogue: 0,0:00:25.20,0:00:27.03,Default,,0000,0000,0000,,no width or depth Dialogue: 0,0:00:27.97,0:00:29.71,Default,,0000,0000,0000,,If we now take our first dimensional Dialogue: 0,0:00:29.71,0:00:31.01,Default,,0000,0000,0000,,line and draw a second line Dialogue: 0,0:00:31.01,0:00:32.20,Default,,0000,0000,0000,,crossing the first Dialogue: 0,0:00:33.14,0:00:34.98,Default,,0000,0000,0000,,we've entered the second dimension Dialogue: 0,0:00:34.98,0:00:36.37,Default,,0000,0000,0000,,the object we're representing Dialogue: 0,0:00:36.37,0:00:37.90,Default,,0000,0000,0000,,now has a length and width, Dialogue: 0,0:00:37.90,0:00:39.21,Default,,0000,0000,0000,,but no depth Dialogue: 0,0:00:39.21,0:00:40.41,Default,,0000,0000,0000,,to help us with imagining Dialogue: 0,0:00:40.41,0:00:41.55,Default,,0000,0000,0000,,the higher dimensions Dialogue: 0,0:00:41.55,0:00:42.71,Default,,0000,0000,0000,,we're going to represent Dialogue: 0,0:00:42.71,0:00:44.14,Default,,0000,0000,0000,,our second dimensional object Dialogue: 0,0:00:44.14,0:00:45.19,Default,,0000,0000,0000,,as being created using Dialogue: 0,0:00:45.19,0:00:45.92,Default,,0000,0000,0000,,a second line Dialogue: 0,0:00:45.92,0:00:47.94,Default,,0000,0000,0000,,which branches off from the first Dialogue: 0,0:00:48.66,0:00:50.13,Default,,0000,0000,0000,,Now, let's imagine Dialogue: 0,0:00:50.13,0:00:51.43,Default,,0000,0000,0000,,a race of two-dimensional Dialogue: 0,0:00:51.43,0:00:53.60,Default,,0000,0000,0000,,creatures called "Flatlanders". Dialogue: 0,0:00:53.91,0:00:54.92,Default,,0000,0000,0000,,What would it be like Dialogue: 0,0:00:54.92,0:00:55.82,Default,,0000,0000,0000,,to be a Flatlander Dialogue: 0,0:00:55.82,0:00:56.54,Default,,0000,0000,0000,,living in their Dialogue: 0,0:00:56.54,0:00:57.61,Default,,0000,0000,0000,,two-dimensional world? Dialogue: 0,0:00:58.33,0:00:59.94,Default,,0000,0000,0000,,A two-dimensional creature Dialogue: 0,0:00:59.94,0:01:01.58,Default,,0000,0000,0000,,would have only length and width Dialogue: 0,0:01:01.58,0:01:02.92,Default,,0000,0000,0000,,as if they were the royalty Dialogue: 0,0:01:02.92,0:01:04.06,Default,,0000,0000,0000,,on an impossibly flat Dialogue: 0,0:01:04.06,0:01:05.19,Default,,0000,0000,0000,,playing card. Dialogue: 0,0:01:05.55,0:01:06.64,Default,,0000,0000,0000,,Picture this Dialogue: 0,0:01:06.64,0:01:08.07,Default,,0000,0000,0000,,a Flatlander couldn't possibly Dialogue: 0,0:01:08.07,0:01:09.31,Default,,0000,0000,0000,,have a digestive tract Dialogue: 0,0:01:09.31,0:01:10.34,Default,,0000,0000,0000,,because the pipe from Dialogue: 0,0:01:10.34,0:01:11.74,Default,,0000,0000,0000,,their mouth to their bottom Dialogue: 0,0:01:11.74,0:01:13.73,Default,,0000,0000,0000,,would divide them into two pieces Dialogue: 0,0:01:14.14,0:01:15.50,Default,,0000,0000,0000,,And a Flatlander trying Dialogue: 0,0:01:15.50,0:01:16.91,Default,,0000,0000,0000,,to view our three-dimensional Dialogue: 0,0:01:16.91,0:01:17.60,Default,,0000,0000,0000,,world Dialogue: 0,0:01:17.60,0:01:18.48,Default,,0000,0000,0000,,would only be able Dialogue: 0,0:01:18.48,0:01:19.56,Default,,0000,0000,0000,,to perceive shapes Dialogue: 0,0:01:19.56,0:01:20.48,Default,,0000,0000,0000,,in two-dimensional Dialogue: 0,0:01:20.48,0:01:21.28,Default,,0000,0000,0000,,cross-sections Dialogue: 0,0:01:21.74,0:01:22.97,Default,,0000,0000,0000,,A balloon, for instance Dialogue: 0,0:01:22.97,0:01:24.74,Default,,0000,0000,0000,,would start as a tiny dot Dialogue: 0,0:01:24.74,0:01:25.81,Default,,0000,0000,0000,,become a hollow circle Dialogue: 0,0:01:25.81,0:01:26.83,Default,,0000,0000,0000,,in which inexplicably Dialogue: 0,0:01:26.83,0:01:28.56,Default,,0000,0000,0000,,grows to a certain size Dialogue: 0,0:01:28.56,0:01:29.55,Default,,0000,0000,0000,,then shrinks back to Dialogue: 0,0:01:29.55,0:01:30.68,Default,,0000,0000,0000,,a dot before popping Dialogue: 0,0:01:30.68,0:01:32.25,Default,,0000,0000,0000,,out of existence Dialogue: 0,0:01:33.35,0:01:34.50,Default,,0000,0000,0000,,And we three-dimensional Dialogue: 0,0:01:34.50,0:01:35.62,Default,,0000,0000,0000,,human beings would seem Dialogue: 0,0:01:35.62,0:01:36.52,Default,,0000,0000,0000,,very strange indeed Dialogue: 0,0:01:36.52,0:01:37.50,Default,,0000,0000,0000,,to a Flatlander Dialogue: 0,0:01:41.19,0:01:42.58,Default,,0000,0000,0000,,Imagining the third-dimension Dialogue: 0,0:01:42.58,0:01:43.81,Default,,0000,0000,0000,,is the easiest for us Dialogue: 0,0:01:43.81,0:01:45.38,Default,,0000,0000,0000,,because every moment of our lives Dialogue: 0,0:01:45.38,0:01:46.73,Default,,0000,0000,0000,,that is what we're in Dialogue: 0,0:01:48.54,0:01:49.99,Default,,0000,0000,0000,,A three dimensional object has Dialogue: 0,0:01:49.99,0:01:51.29,Default,,0000,0000,0000,,length, width and height Dialogue: 0,0:01:51.40,0:01:53.03,Default,,0000,0000,0000,,but here's another way to describe Dialogue: 0,0:01:53.03,0:01:54.19,Default,,0000,0000,0000,,the third dimension Dialogue: 0,0:01:54.40,0:01:55.49,Default,,0000,0000,0000,,If we imagine an ant Dialogue: 0,0:01:55.49,0:01:57.01,Default,,0000,0000,0000,,walking across a newspaper Dialogue: 0,0:01:57.01,0:01:58.52,Default,,0000,0000,0000,,which is lying on a table Dialogue: 0,0:01:58.70,0:01:59.68,Default,,0000,0000,0000,,We can pretend that Dialogue: 0,0:01:59.68,0:02:01.08,Default,,0000,0000,0000,,the ant is a Flatlander Dialogue: 0,0:02:01.08,0:02:02.56,Default,,0000,0000,0000,,walking along on a flat Dialogue: 0,0:02:02.56,0:02:03.29,Default,,0000,0000,0000,,two-dimensional Dialogue: 0,0:02:03.29,0:02:04.45,Default,,0000,0000,0000,,newspaper world Dialogue: 0,0:02:04.76,0:02:07.37,Default,,0000,0000,0000,,If that paper is now folded in the middle Dialogue: 0,0:02:07.69,0:02:08.87,Default,,0000,0000,0000,,we create a way Dialogue: 0,0:02:08.87,0:02:10.07,Default,,0000,0000,0000,,for our Flatlander ant Dialogue: 0,0:02:10.07,0:02:11.56,Default,,0000,0000,0000,,to "magically" disappear from Dialogue: 0,0:02:11.56,0:02:12.55,Default,,0000,0000,0000,,one position in his Dialogue: 0,0:02:12.55,0:02:13.85,Default,,0000,0000,0000,,two-dimensional world Dialogue: 0,0:02:13.85,0:02:16.11,Default,,0000,0000,0000,,and be instantly transported to another Dialogue: 0,0:02:16.33,0:02:17.22,Default,,0000,0000,0000,,We can imagine Dialogue: 0,0:02:17.22,0:02:18.00,Default,,0000,0000,0000,,that we did this Dialogue: 0,0:02:18.00,0:02:20.01,Default,,0000,0000,0000,,by taking a two-dimensional object Dialogue: 0,0:02:20.48,0:02:21.54,Default,,0000,0000,0000,,and folding it through Dialogue: 0,0:02:21.54,0:02:22.44,Default,,0000,0000,0000,,the dimension above Dialogue: 0,0:02:22.44,0:02:23.86,Default,,0000,0000,0000,,which is our third dimension Dialogue: 0,0:02:23.93,0:02:25.66,Default,,0000,0000,0000,,Once again, it'll be more convenient Dialogue: 0,0:02:25.66,0:02:26.98,Default,,0000,0000,0000,,for us as we imagine Dialogue: 0,0:02:26.98,0:02:28.33,Default,,0000,0000,0000,,the higher dimensions Dialogue: 0,0:02:28.33,0:02:30.15,Default,,0000,0000,0000,,if we can think of the third dimension Dialogue: 0,0:02:30.15,0:02:30.87,Default,,0000,0000,0000,,in this way Dialogue: 0,0:02:31.26,0:02:32.54,Default,,0000,0000,0000,,The third dimension is what Dialogue: 0,0:02:32.54,0:02:33.93,Default,,0000,0000,0000,,you "fold through" Dialogue: 0,0:02:34.42,0:02:35.87,Default,,0000,0000,0000,,to jump from one point Dialogue: 0,0:02:35.87,0:02:36.83,Default,,0000,0000,0000,,to another in the Dialogue: 0,0:02:36.83,0:02:37.99,Default,,0000,0000,0000,,dimension below Dialogue: 0,0:02:39.71,0:02:40.96,Default,,0000,0000,0000,,The first three dimensions Dialogue: 0,0:02:40.96,0:02:41.82,Default,,0000,0000,0000,,can be described Dialogue: 0,0:02:41.82,0:02:42.77,Default,,0000,0000,0000,,with these words: Dialogue: 0,0:02:42.77,0:02:43.67,Default,,0000,0000,0000,,length Dialogue: 0,0:02:43.67,0:02:44.48,Default,,0000,0000,0000,,width Dialogue: 0,0:02:45.48,0:02:46.65,Default,,0000,0000,0000,,and depth Dialogue: 0,0:02:47.04,0:02:48.38,Default,,0000,0000,0000,,What word can we assign to Dialogue: 0,0:02:48.38,0:02:49.39,Default,,0000,0000,0000,,the fourth dimension? Dialogue: 0,0:02:49.39,0:02:50.60,Default,,0000,0000,0000,,One answer would be Dialogue: 0,0:02:50.87,0:02:52.06,Default,,0000,0000,0000,,duration Dialogue: 0,0:02:52.18,0:02:53.47,Default,,0000,0000,0000,,If we think of ourselves as Dialogue: 0,0:02:53.47,0:02:54.96,Default,,0000,0000,0000,,we were one minute ago Dialogue: 0,0:02:54.96,0:02:56.20,Default,,0000,0000,0000,,and then imagine ourselves Dialogue: 0,0:02:56.20,0:02:57.78,Default,,0000,0000,0000,,as we are at this moment Dialogue: 0,0:02:57.78,0:02:59.08,Default,,0000,0000,0000,,the line we could draw from Dialogue: 0,0:02:59.08,0:03:00.47,Default,,0000,0000,0000,,the "one-minute-ago version" Dialogue: 0,0:03:00.47,0:03:01.73,Default,,0000,0000,0000,,to the "right-now version" Dialogue: 0,0:03:02.04,0:03:04.18,Default,,0000,0000,0000,,would be a line in the fourth dimension Dialogue: 0,0:03:04.30,0:03:05.65,Default,,0000,0000,0000,,If you were to see your body Dialogue: 0,0:03:05.65,0:03:06.85,Default,,0000,0000,0000,,in the fourth dimension Dialogue: 0,0:03:06.85,0:03:08.20,Default,,0000,0000,0000,,You would be like a long Dialogue: 0,0:03:08.20,0:03:09.30,Default,,0000,0000,0000,,undulating snake Dialogue: 0,0:03:09.30,0:03:10.32,Default,,0000,0000,0000,,with your embryonic Dialogue: 0,0:03:10.32,0:03:11.12,Default,,0000,0000,0000,,self at one end Dialogue: 0,0:03:11.12,0:03:12.65,Default,,0000,0000,0000,,and your deceased self Dialogue: 0,0:03:12.65,0:03:13.78,Default,,0000,0000,0000,,at the other Dialogue: 0,0:03:14.55,0:03:15.83,Default,,0000,0000,0000,,But because we live from Dialogue: 0,0:03:15.83,0:03:16.78,Default,,0000,0000,0000,,moment to moment Dialogue: 0,0:03:16.78,0:03:18.09,Default,,0000,0000,0000,,in the third dimension Dialogue: 0,0:03:18.09,0:03:19.22,Default,,0000,0000,0000,,we are like our second Dialogue: 0,0:03:19.22,0:03:20.81,Default,,0000,0000,0000,,dimensional Flatlanders Dialogue: 0,0:03:21.06,0:03:22.26,Default,,0000,0000,0000,,Just like that Flatlander Dialogue: 0,0:03:22.26,0:03:23.15,Default,,0000,0000,0000,,who could only see Dialogue: 0,0:03:23.15,0:03:24.62,Default,,0000,0000,0000,,two-dimensional cross-sections Dialogue: 0,0:03:24.62,0:03:26.39,Default,,0000,0000,0000,,of objects from the dimension above Dialogue: 0,0:03:26.39,0:03:28.75,Default,,0000,0000,0000,,we as three-dimensional creatures Dialogue: 0,0:03:28.75,0:03:30.17,Default,,0000,0000,0000,,can only see three-dimensional Dialogue: 0,0:03:30.17,0:03:31.10,Default,,0000,0000,0000,,cross-sections Dialogue: 0,0:03:31.10,0:03:33.08,Default,,0000,0000,0000,,of our fourth dimensional self Dialogue: 0,0:03:38.27,0:03:40.12,Default,,0000,0000,0000,,One of the most intriguing aspects Dialogue: 0,0:03:40.12,0:03:41.60,Default,,0000,0000,0000,,of there being one dimension Dialogue: 0,0:03:41.60,0:03:42.71,Default,,0000,0000,0000,,stacked on another Dialogue: 0,0:03:42.71,0:03:44.68,Default,,0000,0000,0000,,is that down here in the dimensions below Dialogue: 0,0:03:44.68,0:03:46.17,Default,,0000,0000,0000,,we can be unaware of our motion Dialogue: 0,0:03:46.17,0:03:47.83,Default,,0000,0000,0000,,in the dimension above Dialogue: 0,0:03:47.83,0:03:49.54,Default,,0000,0000,0000,,Here's a simple example: Dialogue: 0,0:03:49.54,0:03:51.41,Default,,0000,0000,0000,,if we make a Mobius strip Dialogue: 0,0:03:51.41,0:03:52.72,Default,,0000,0000,0000,,take a long strip of paper Dialogue: 0,0:03:52.72,0:03:53.85,Default,,0000,0000,0000,,add one twist to it Dialogue: 0,0:03:53.85,0:03:55.30,Default,,0000,0000,0000,,and tape the ends together Dialogue: 0,0:03:55.30,0:03:57.32,Default,,0000,0000,0000,,and draw a line down the length of it Dialogue: 0,0:03:57.87,0:03:59.06,Default,,0000,0000,0000,,Our line will eventually Dialogue: 0,0:03:59.06,0:04:00.60,Default,,0000,0000,0000,,be on both sides of the paper Dialogue: 0,0:04:00.60,0:04:02.73,Default,,0000,0000,0000,,before it meets back with itself Dialogue: 0,0:04:02.95,0:04:04.91,Default,,0000,0000,0000,,It appears somewhat amazingly Dialogue: 0,0:04:04.91,0:04:06.67,Default,,0000,0000,0000,,that the strip has only one side Dialogue: 0,0:04:06.67,0:04:08.32,Default,,0000,0000,0000,,so it must be a representation Dialogue: 0,0:04:08.32,0:04:09.73,Default,,0000,0000,0000,,of a two-dimensional object Dialogue: 0,0:04:09.84,0:04:11.61,Default,,0000,0000,0000,,And this means that a two-dimensional Dialogue: 0,0:04:11.61,0:04:13.31,Default,,0000,0000,0000,,Flatlander traveling down Dialogue: 0,0:04:13.31,0:04:14.73,Default,,0000,0000,0000,,the line we just drew Dialogue: 0,0:04:14.73,0:04:16.02,Default,,0000,0000,0000,,would end up back where Dialogue: 0,0:04:16.02,0:04:17.21,Default,,0000,0000,0000,,they started without ever Dialogue: 0,0:04:17.21,0:04:18.46,Default,,0000,0000,0000,,feeling like they had left Dialogue: 0,0:04:18.46,0:04:19.51,Default,,0000,0000,0000,,the second dimension Dialogue: 0,0:04:19.100,0:04:21.34,Default,,0000,0000,0000,,In reality Dialogue: 0,0:04:21.34,0:04:22.85,Default,,0000,0000,0000,,they would be looping and twisting Dialogue: 0,0:04:22.85,0:04:23.98,Default,,0000,0000,0000,,in the third dimension Dialogue: 0,0:04:23.98,0:04:25.57,Default,,0000,0000,0000,,even though to them it felt like Dialogue: 0,0:04:25.57,0:04:26.48,Default,,0000,0000,0000,,they were traveling Dialogue: 0,0:04:26.48,0:04:27.84,Default,,0000,0000,0000,,in a straight line Dialogue: 0,0:04:28.49,0:04:30.08,Default,,0000,0000,0000,,The fourth dimension Dialogue: 0,0:04:30.08,0:04:30.91,Default,,0000,0000,0000,,time Dialogue: 0,0:04:30.91,0:04:32.54,Default,,0000,0000,0000,,feels like a straight line to us Dialogue: 0,0:04:32.54,0:04:34.21,Default,,0000,0000,0000,,moving from the past to the future Dialogue: 0,0:04:34.21,0:04:35.48,Default,,0000,0000,0000,,But that straight line in Dialogue: 0,0:04:35.48,0:04:36.82,Default,,0000,0000,0000,,the fourth dimension is Dialogue: 0,0:04:36.82,0:04:38.50,Default,,0000,0000,0000,,like the Mobius strip Dialogue: 0,0:04:38.50,0:04:40.06,Default,,0000,0000,0000,,actually twisting and turning in Dialogue: 0,0:04:40.06,0:04:41.18,Default,,0000,0000,0000,,the dimension above Dialogue: 0,0:04:41.35,0:04:43.33,Default,,0000,0000,0000,,so, the long undulating snake that is us Dialogue: 0,0:04:43.33,0:04:44.59,Default,,0000,0000,0000,,will feel like it is moving in Dialogue: 0,0:04:44.59,0:04:45.36,Default,,0000,0000,0000,,a straight Dialogue: 0,0:04:45.36,0:04:46.70,Default,,0000,0000,0000,,line in the fourth dimension Dialogue: 0,0:04:46.70,0:04:47.93,Default,,0000,0000,0000,,but there will actually be Dialogue: 0,0:04:47.93,0:04:49.43,Default,,0000,0000,0000,,in the fifth dimension Dialogue: 0,0:04:49.75,0:04:51.47,Default,,0000,0000,0000,,A multitude of paths Dialogue: 0,0:04:51.47,0:04:52.61,Default,,0000,0000,0000,,that we could branch to Dialogue: 0,0:04:52.61,0:04:53.54,Default,,0000,0000,0000,,at any given moment Dialogue: 0,0:04:53.98,0:04:55.66,Default,,0000,0000,0000,,those branches will be influenced Dialogue: 0,0:04:55.66,0:04:57.01,Default,,0000,0000,0000,,by our own choice Dialogue: 0,0:04:57.01,0:04:59.43,Default,,0000,0000,0000,,chance, and the actions of others Dialogue: 0,0:04:59.64,0:05:01.02,Default,,0000,0000,0000,,Quantum physics tells us that Dialogue: 0,0:05:01.02,0:05:02.14,Default,,0000,0000,0000,,the subatomic particles Dialogue: 0,0:05:02.14,0:05:03.21,Default,,0000,0000,0000,,that make up our world Dialogue: 0,0:05:03.59,0:05:04.92,Default,,0000,0000,0000,,are collapsed from waves Dialogue: 0,0:05:04.92,0:05:06.100,Default,,0000,0000,0000,,of probability simply by the act Dialogue: 0,0:05:06.100,0:05:08.16,Default,,0000,0000,0000,,of observation Dialogue: 0,0:05:08.83,0:05:10.26,Default,,0000,0000,0000,,In the picture we are drawing Dialogue: 0,0:05:10.26,0:05:11.12,Default,,0000,0000,0000,,for ourselves here Dialogue: 0,0:05:11.12,0:05:12.28,Default,,0000,0000,0000,,we can now start to see Dialogue: 0,0:05:12.28,0:05:13.72,Default,,0000,0000,0000,,how each of us are collapsing Dialogue: 0,0:05:13.72,0:05:14.92,Default,,0000,0000,0000,,the indeterminate wave of Dialogue: 0,0:05:14.92,0:05:16.26,Default,,0000,0000,0000,,probable futures contained Dialogue: 0,0:05:16.26,0:05:17.81,Default,,0000,0000,0000,,in the fifth dimension Dialogue: 0,0:05:17.81,0:05:19.36,Default,,0000,0000,0000,,into the fourth dimensional line Dialogue: 0,0:05:19.36,0:05:21.48,Default,,0000,0000,0000,,that we are experiencing as "time" Dialogue: 0,0:05:25.96,0:05:27.33,Default,,0000,0000,0000,,What if you want to go back Dialogue: 0,0:05:27.33,0:05:28.48,Default,,0000,0000,0000,,into your own childhood Dialogue: 0,0:05:28.48,0:05:29.84,Default,,0000,0000,0000,,and visit yourself? Dialogue: 0,0:05:30.90,0:05:32.00,Default,,0000,0000,0000,,We can imagine folding Dialogue: 0,0:05:32.00,0:05:33.35,Default,,0000,0000,0000,,the fourth dimension through Dialogue: 0,0:05:33.35,0:05:34.11,Default,,0000,0000,0000,,the fifth Dialogue: 0,0:05:34.11,0:05:35.37,Default,,0000,0000,0000,,jumping back through time Dialogue: 0,0:05:35.37,0:05:36.44,Default,,0000,0000,0000,,and space to get there Dialogue: 0,0:05:36.44,0:05:37.67,Default,,0000,0000,0000,,But what if you wanted to Dialogue: 0,0:05:37.67,0:05:38.74,Default,,0000,0000,0000,,get to the world where Dialogue: 0,0:05:38.74,0:05:39.47,Default,,0000,0000,0000,,for example Dialogue: 0,0:05:39.47,0:05:40.64,Default,,0000,0000,0000,,you had created a great Dialogue: 0,0:05:40.64,0:05:41.67,Default,,0000,0000,0000,,invention as a child Dialogue: 0,0:05:41.67,0:05:43.65,Default,,0000,0000,0000,,that by now had made you famous and rich? Dialogue: 0,0:05:44.48,0:05:46.31,Default,,0000,0000,0000,,We can imagine our fourth-dimensional Dialogue: 0,0:05:46.31,0:05:47.54,Default,,0000,0000,0000,,selves branching out from Dialogue: 0,0:05:47.54,0:05:49.48,Default,,0000,0000,0000,,our current moment into Dialogue: 0,0:05:49.48,0:05:51.41,Default,,0000,0000,0000,,the fifth dimension Dialogue: 0,0:05:51.41,0:05:53.01,Default,,0000,0000,0000,,But no matter where you go from here Dialogue: 0,0:05:53.01,0:05:54.89,Default,,0000,0000,0000,,the "great child inventor" timeline Dialogue: 0,0:05:54.89,0:05:56.59,Default,,0000,0000,0000,,is not one of the available options Dialogue: 0,0:05:56.59,0:05:57.79,Default,,0000,0000,0000,,in your current version Dialogue: 0,0:05:57.79,0:05:58.52,Default,,0000,0000,0000,,of time Dialogue: 0,0:05:58.52,0:06:00.38,Default,,0000,0000,0000,,you can't get there from here Dialogue: 0,0:06:00.38,0:06:02.10,Default,,0000,0000,0000,,no matter how much choice, chance, Dialogue: 0,0:06:02.10,0:06:03.33,Default,,0000,0000,0000,,and the actions of others Dialogue: 0,0:06:03.33,0:06:04.12,Default,,0000,0000,0000,,become involved Dialogue: 0,0:06:04.86,0:06:06.13,Default,,0000,0000,0000,,There are only two ways Dialogue: 0,0:06:06.13,0:06:07.46,Default,,0000,0000,0000,,you could get to that world Dialogue: 0,0:06:07.46,0:06:09.16,Default,,0000,0000,0000,,one would be to travel back in time Dialogue: 0,0:06:09.75,0:06:11.07,Default,,0000,0000,0000,,somehow trigger the events Dialogue: 0,0:06:11.07,0:06:12.37,Default,,0000,0000,0000,,that caused you to come up Dialogue: 0,0:06:12.37,0:06:13.31,Default,,0000,0000,0000,,with your invention Dialogue: 0,0:06:13.31,0:06:14.95,Default,,0000,0000,0000,,then travel forward in the fifth Dialogue: 0,0:06:14.95,0:06:16.29,Default,,0000,0000,0000,,dimension to see one of the Dialogue: 0,0:06:16.29,0:06:17.49,Default,,0000,0000,0000,,possible new worlds that Dialogue: 0,0:06:17.49,0:06:18.73,Default,,0000,0000,0000,,might have resulted Dialogue: 0,0:06:19.68,0:06:21.47,Default,,0000,0000,0000,,but that would be taking the long way Dialogue: 0,0:06:21.54,0:06:22.84,Default,,0000,0000,0000,,the shortcut we could take Dialogue: 0,0:06:22.84,0:06:24.09,Default,,0000,0000,0000,,would involve us folding Dialogue: 0,0:06:24.09,0:06:25.45,Default,,0000,0000,0000,,the fifth dimension through Dialogue: 0,0:06:25.45,0:06:26.39,Default,,0000,0000,0000,,the sixth dimension Dialogue: 0,0:06:26.39,0:06:27.80,Default,,0000,0000,0000,,which allows us to instantly Dialogue: 0,0:06:27.80,0:06:29.27,Default,,0000,0000,0000,,jump from our current position Dialogue: 0,0:06:29.27,0:06:31.41,Default,,0000,0000,0000,,to a different fifth dimensional line Dialogue: 0,0:06:33.89,0:06:35.91,Default,,0000,0000,0000,,In our description of the fourth dimension Dialogue: 0,0:06:35.91,0:06:37.48,Default,,0000,0000,0000,,we imagined taking the dimension Dialogue: 0,0:06:37.48,0:06:38.85,Default,,0000,0000,0000,,below and conceiving of Dialogue: 0,0:06:38.85,0:06:40.41,Default,,0000,0000,0000,,it as a single point Dialogue: 0,0:06:40.41,0:06:41.94,Default,,0000,0000,0000,,the fourth dimension is a line Dialogue: 0,0:06:41.94,0:06:43.33,Default,,0000,0000,0000,,which can join the universe Dialogue: 0,0:06:43.33,0:06:44.95,Default,,0000,0000,0000,,as it was one minute ago Dialogue: 0,0:06:44.95,0:06:46.89,Default,,0000,0000,0000,,to the universe as it is right now Dialogue: 0,0:06:47.32,0:06:49.25,Default,,0000,0000,0000,,Or in the biggest picture possible Dialogue: 0,0:06:49.71,0:06:51.63,Default,,0000,0000,0000,,we could say that the fourth dimension Dialogue: 0,0:06:51.63,0:06:52.64,Default,,0000,0000,0000,,is a line which joins Dialogue: 0,0:06:52.64,0:06:53.39,Default,,0000,0000,0000,,the big bang Dialogue: 0,0:06:53.78,0:06:55.27,Default,,0000,0000,0000,,to one of the possible endings Dialogue: 0,0:06:55.27,0:06:56.05,Default,,0000,0000,0000,,of our universe Dialogue: 0,0:06:57.17,0:06:59.07,Default,,0000,0000,0000,,Now, as we enter the seventh dimension Dialogue: 0,0:06:59.07,0:07:00.73,Default,,0000,0000,0000,,we are about to imagine a line Dialogue: 0,0:07:01.15,0:07:02.65,Default,,0000,0000,0000,,which treats the entire sixth Dialogue: 0,0:07:02.65,0:07:03.82,Default,,0000,0000,0000,,dimension as if it were Dialogue: 0,0:07:03.82,0:07:04.60,Default,,0000,0000,0000,,a single point Dialogue: 0,0:07:04.60,0:07:06.10,Default,,0000,0000,0000,,to do that, we have to imagine Dialogue: 0,0:07:06.10,0:07:07.94,Default,,0000,0000,0000,,all of the possible time lines Dialogue: 0,0:07:07.94,0:07:10.15,Default,,0000,0000,0000,,which could have started from our big bang Dialogue: 0,0:07:10.98,0:07:12.84,Default,,0000,0000,0000,,joined to all of the possible endings Dialogue: 0,0:07:12.84,0:07:13.66,Default,,0000,0000,0000,,for our universe Dialogue: 0,0:07:13.66,0:07:15.24,Default,,0000,0000,0000,,a concept which we often Dialogue: 0,0:07:15.24,0:07:16.22,Default,,0000,0000,0000,,refer to as infinity Dialogue: 0,0:07:16.22,0:07:18.83,Default,,0000,0000,0000,,and treat them all as a single point Dialogue: 0,0:07:19.22,0:07:20.95,Default,,0000,0000,0000,,So, for us, a point in the seventh Dialogue: 0,0:07:20.95,0:07:22.28,Default,,0000,0000,0000,,dimension would be infinity Dialogue: 0,0:07:22.28,0:07:23.76,Default,,0000,0000,0000,,all possible time lines which Dialogue: 0,0:07:23.76,0:07:26.55,Default,,0000,0000,0000,,could have or will have occurred Dialogue: 0,0:07:26.55,0:07:28.10,Default,,0000,0000,0000,,from our big bang Dialogue: 0,0:07:29.18,0:07:30.48,Default,,0000,0000,0000,,When we describe infinity Dialogue: 0,0:07:30.48,0:07:31.97,Default,,0000,0000,0000,,as being a "point" Dialogue: 0,0:07:31.97,0:07:33.46,Default,,0000,0000,0000,,in the seventh dimension Dialogue: 0,0:07:33.46,0:07:35.38,Default,,0000,0000,0000,,we are only imagine part of the picture Dialogue: 0,0:07:35.88,0:07:37.19,Default,,0000,0000,0000,,if we're drawing a seventh Dialogue: 0,0:07:37.19,0:07:37.100,Default,,0000,0000,0000,,dimensional line Dialogue: 0,0:07:37.100,0:07:39.44,Default,,0000,0000,0000,,we need to be able to imagine Dialogue: 0,0:07:39.44,0:07:40.85,Default,,0000,0000,0000,,what a different "point" in Dialogue: 0,0:07:40.85,0:07:42.58,Default,,0000,0000,0000,,the seventh dimension is going to be Dialogue: 0,0:07:42.58,0:07:44.06,Default,,0000,0000,0000,,because that's what our line is Dialogue: 0,0:07:44.06,0:07:45.06,Default,,0000,0000,0000,,going to be joined to Dialogue: 0,0:07:45.06,0:07:46.16,Default,,0000,0000,0000,,But how can there be Dialogue: 0,0:07:46.16,0:07:47.51,Default,,0000,0000,0000,,anything more than infinity? Dialogue: 0,0:07:47.51,0:07:48.38,Default,,0000,0000,0000,,The answer is Dialogue: 0,0:07:48.38,0:07:49.79,Default,,0000,0000,0000,,there can be other completely Dialogue: 0,0:07:49.79,0:07:51.22,Default,,0000,0000,0000,,different infinities created Dialogue: 0,0:07:51.22,0:07:52.51,Default,,0000,0000,0000,,through initial conditions Dialogue: 0,0:07:52.51,0:07:53.73,Default,,0000,0000,0000,,which are different from Dialogue: 0,0:07:53.73,0:07:54.85,Default,,0000,0000,0000,,our own big bang Dialogue: 0,0:07:54.85,0:07:56.43,Default,,0000,0000,0000,,Different initial conditions Dialogue: 0,0:07:56.43,0:07:58.35,Default,,0000,0000,0000,,will create different universes Dialogue: 0,0:07:58.35,0:07:59.86,Default,,0000,0000,0000,,where the basic physical laws Dialogue: 0,0:07:59.86,0:08:01.24,Default,,0000,0000,0000,,such as gravity or the speed Dialogue: 0,0:08:01.24,0:08:03.27,Default,,0000,0000,0000,,of light are not the same as ours Dialogue: 0,0:08:03.27,0:08:04.85,Default,,0000,0000,0000,,and the resulting branching time Dialogue: 0,0:08:04.85,0:08:05.96,Default,,0000,0000,0000,,lines from that universe's Dialogue: 0,0:08:05.96,0:08:07.52,Default,,0000,0000,0000,,beginning to all of it's possible Dialogue: 0,0:08:07.52,0:08:08.25,Default,,0000,0000,0000,,endings Dialogue: 0,0:08:08.51,0:08:09.73,Default,,0000,0000,0000,,will create an infinity Dialogue: 0,0:08:09.73,0:08:11.08,Default,,0000,0000,0000,,which is completely separate Dialogue: 0,0:08:11.08,0:08:12.66,Default,,0000,0000,0000,,from the one which is associated Dialogue: 0,0:08:12.66,0:08:13.90,Default,,0000,0000,0000,,with our own universe Dialogue: 0,0:08:14.19,0:08:15.54,Default,,0000,0000,0000,,so the line we draw in Dialogue: 0,0:08:15.54,0:08:16.58,Default,,0000,0000,0000,,the seventh dimension Dialogue: 0,0:08:16.58,0:08:18.36,Default,,0000,0000,0000,,will join one of those infinities Dialogue: 0,0:08:18.36,0:08:19.42,Default,,0000,0000,0000,,to another Dialogue: 0,0:08:19.42,0:08:21.20,Default,,0000,0000,0000,,and as boggling as the magnitude Dialogue: 0,0:08:21.20,0:08:22.62,Default,,0000,0000,0000,,of what we are exploring Dialogue: 0,0:08:22.62,0:08:23.37,Default,,0000,0000,0000,,here might be Dialogue: 0,0:08:23.37,0:08:24.68,Default,,0000,0000,0000,,if we were to branch off Dialogue: 0,0:08:24.68,0:08:26.11,Default,,0000,0000,0000,,from that seventh dimensional Dialogue: 0,0:08:26.11,0:08:26.81,Default,,0000,0000,0000,,line Dialogue: 0,0:08:26.81,0:08:27.88,Default,,0000,0000,0000,,to draw a line to yet Dialogue: 0,0:08:27.88,0:08:28.67,Default,,0000,0000,0000,,another infinity Dialogue: 0,0:08:28.67,0:08:29.92,Default,,0000,0000,0000,,we would then be entering Dialogue: 0,0:08:29.92,0:08:30.85,Default,,0000,0000,0000,,the eight dimension Dialogue: 0,0:08:33.36,0:08:35.70,Default,,0000,0000,0000,,As we've explored already Dialogue: 0,0:08:35.70,0:08:37.74,Default,,0000,0000,0000,,we can jump from one point in Dialogue: 0,0:08:37.74,0:08:38.94,Default,,0000,0000,0000,,any dimension to another Dialogue: 0,0:08:38.94,0:08:40.33,Default,,0000,0000,0000,,simply by folding it through Dialogue: 0,0:08:40.33,0:08:41.46,Default,,0000,0000,0000,,the dimension above Dialogue: 0,0:08:41.70,0:08:43.27,Default,,0000,0000,0000,,If our ant on the newspaper were Dialogue: 0,0:08:43.27,0:08:44.69,Default,,0000,0000,0000,,a two-dimensional Flatlander Dialogue: 0,0:08:44.69,0:08:46.28,Default,,0000,0000,0000,,then folding his two-dimensional Dialogue: 0,0:08:46.28,0:08:47.91,Default,,0000,0000,0000,,world through the third dimension Dialogue: 0,0:08:47.91,0:08:49.26,Default,,0000,0000,0000,,would allow him to magically Dialogue: 0,0:08:49.26,0:08:50.17,Default,,0000,0000,0000,,disappear from one Dialogue: 0,0:08:50.17,0:08:51.38,Default,,0000,0000,0000,,location and appear in a Dialogue: 0,0:08:51.38,0:08:52.12,Default,,0000,0000,0000,,different one Dialogue: 0,0:08:52.96,0:08:54.11,Default,,0000,0000,0000,,As we're now imagining Dialogue: 0,0:08:54.11,0:08:55.05,Default,,0000,0000,0000,,the ninth dimension Dialogue: 0,0:08:55.05,0:08:56.32,Default,,0000,0000,0000,,the same rules would apply Dialogue: 0,0:08:56.32,0:08:57.37,Default,,0000,0000,0000,,If we were to be able Dialogue: 0,0:08:57.37,0:08:58.52,Default,,0000,0000,0000,,to instantaneously jump Dialogue: 0,0:08:58.52,0:08:59.82,Default,,0000,0000,0000,,from one eighth dimensional Dialogue: 0,0:08:59.82,0:09:01.07,Default,,0000,0000,0000,,line to another Dialogue: 0,0:09:01.37,0:09:02.33,Default,,0000,0000,0000,,it would be because Dialogue: 0,0:09:02.33,0:09:03.36,Default,,0000,0000,0000,,we were able to fold Dialogue: 0,0:09:03.36,0:09:04.71,Default,,0000,0000,0000,,through the ninth dimension Dialogue: 0,0:09:06.17,0:09:08.27,Default,,0000,0000,0000,,Before we discussed the first dimension Dialogue: 0,0:09:08.27,0:09:09.55,Default,,0000,0000,0000,,we could say that we first Dialogue: 0,0:09:09.55,0:09:10.85,Default,,0000,0000,0000,,started out with dimension Dialogue: 0,0:09:10.85,0:09:11.60,Default,,0000,0000,0000,,zero Dialogue: 0,0:09:11.60,0:09:12.80,Default,,0000,0000,0000,,which is the geometrical Dialogue: 0,0:09:12.80,0:09:13.94,Default,,0000,0000,0000,,concept of the "point" Dialogue: 0,0:09:13.94,0:09:16.36,Default,,0000,0000,0000,,A point indicates a location in a system Dialogue: 0,0:09:16.36,0:09:19.14,Default,,0000,0000,0000,,and each point is of indeterminate size Dialogue: 0,0:09:19.73,0:09:21.06,Default,,0000,0000,0000,,The first dimension then Dialogue: 0,0:09:21.06,0:09:22.93,Default,,0000,0000,0000,,takes two of these "points" and Dialogue: 0,0:09:22.93,0:09:24.66,Default,,0000,0000,0000,,joints them with a line Dialogue: 0,0:09:25.53,0:09:27.51,Default,,0000,0000,0000,,When we imagine the fourth dimension Dialogue: 0,0:09:27.51,0:09:28.100,Default,,0000,0000,0000,,it was as if we were treating Dialogue: 0,0:09:28.100,0:09:30.59,Default,,0000,0000,0000,,the entirety of three-dimensional Dialogue: 0,0:09:30.59,0:09:31.96,Default,,0000,0000,0000,,space in a particular state Dialogue: 0,0:09:31.96,0:09:32.86,Default,,0000,0000,0000,,as a single point Dialogue: 0,0:09:33.86,0:09:35.44,Default,,0000,0000,0000,,and drawing a fourth-dimensional Dialogue: 0,0:09:35.44,0:09:36.53,Default,,0000,0000,0000,,line to another point Dialogue: 0,0:09:36.53,0:09:37.67,Default,,0000,0000,0000,,representing space as Dialogue: 0,0:09:37.67,0:09:39.21,Default,,0000,0000,0000,,it is in a different state Dialogue: 0,0:09:39.94,0:09:41.33,Default,,0000,0000,0000,,We often refer to the line Dialogue: 0,0:09:41.33,0:09:43.85,Default,,0000,0000,0000,,we have just drawn as "time" Dialogue: 0,0:09:45.45,0:09:47.40,Default,,0000,0000,0000,,Then in the seventh dimension Dialogue: 0,0:09:47.40,0:09:49.13,Default,,0000,0000,0000,,we treated all of the possible time Dialogue: 0,0:09:49.13,0:09:50.11,Default,,0000,0000,0000,,lines which could be Dialogue: 0,0:09:50.11,0:09:51.39,Default,,0000,0000,0000,,generated from our big bang Dialogue: 0,0:09:51.39,0:09:53.17,Default,,0000,0000,0000,,as if this were a single point Dialogue: 0,0:09:53.17,0:09:54.51,Default,,0000,0000,0000,,and imagine drawing a line Dialogue: 0,0:09:55.03,0:09:56.20,Default,,0000,0000,0000,,to a point representing Dialogue: 0,0:09:56.20,0:09:57.66,Default,,0000,0000,0000,,all of the possible time lines Dialogue: 0,0:09:57.66,0:09:59.38,Default,,0000,0000,0000,,for a completely different universe Dialogue: 0,0:10:00.23,0:10:02.60,Default,,0000,0000,0000,,Now, as we enter the tenth dimension Dialogue: 0,0:10:02.60,0:10:03.80,Default,,0000,0000,0000,,we have to imagine all Dialogue: 0,0:10:03.80,0:10:05.10,Default,,0000,0000,0000,,of the possible branches Dialogue: 0,0:10:05.10,0:10:06.65,Default,,0000,0000,0000,,for all the possible time lines Dialogue: 0,0:10:06.65,0:10:08.06,Default,,0000,0000,0000,,of all the possible universes Dialogue: 0,0:10:08.06,0:10:10.32,Default,,0000,0000,0000,,and treat that as a single point Dialogue: 0,0:10:10.32,0:10:11.66,Default,,0000,0000,0000,,in the tenth dimension Dialogue: 0,0:10:11.85,0:10:13.93,Default,,0000,0000,0000,,Ah! So far, so good Dialogue: 0,0:10:14.26,0:10:16.02,Default,,0000,0000,0000,,but this is where we hit a roadblock Dialogue: 0,0:10:16.47,0:10:17.74,Default,,0000,0000,0000,,if we're going to imagine Dialogue: 0,0:10:17.74,0:10:18.69,Default,,0000,0000,0000,,the tenth dimension Dialogue: 0,0:10:18.69,0:10:20.06,Default,,0000,0000,0000,,as continuing the cycle Dialogue: 0,0:10:20.06,0:10:20.91,Default,,0000,0000,0000,,and being a line Dialogue: 0,0:10:20.91,0:10:21.76,Default,,0000,0000,0000,,then we're going to have Dialogue: 0,0:10:21.76,0:10:23.75,Default,,0000,0000,0000,,to imagine a different point Dialogue: 0,0:10:23.75,0:10:25.74,Default,,0000,0000,0000,,that we can draw that line to Dialogue: 0,0:10:25.74,0:10:27.73,Default,,0000,0000,0000,,but there's no place left to go! Dialogue: 0,0:10:27.73,0:10:29.16,Default,,0000,0000,0000,,By the time we have imagined Dialogue: 0,0:10:29.16,0:10:30.33,Default,,0000,0000,0000,,all possible time lines Dialogue: 0,0:10:30.33,0:10:31.60,Default,,0000,0000,0000,,for all possible universes Dialogue: 0,0:10:31.60,0:10:32.83,Default,,0000,0000,0000,,as being a single point Dialogue: 0,0:10:32.83,0:10:33.93,Default,,0000,0000,0000,,in the tenth dimension Dialogue: 0,0:10:34.60,0:10:36.30,Default,,0000,0000,0000,,It appears that our journey is done Dialogue: 0,0:10:37.16,0:10:37.98,Default,,0000,0000,0000,,In string theory Dialogue: 0,0:10:37.98,0:10:38.93,Default,,0000,0000,0000,,physicists tell us Dialogue: 0,0:10:38.93,0:10:40.25,Default,,0000,0000,0000,,that Superstrings vibrating Dialogue: 0,0:10:40.25,0:10:41.37,Default,,0000,0000,0000,,in the tenth dimension Dialogue: 0,0:10:41.37,0:10:42.32,Default,,0000,0000,0000,,are what create Dialogue: 0,0:10:42.32,0:10:43.90,Default,,0000,0000,0000,,the subatomic particles Dialogue: 0,0:10:43.90,0:10:45.48,Default,,0000,0000,0000,,which make up our universe Dialogue: 0,0:10:45.48,0:10:46.83,Default,,0000,0000,0000,,and all of the other possible Dialogue: 0,0:10:46.83,0:10:47.89,Default,,0000,0000,0000,,universes as well Dialogue: 0,0:10:48.17,0:10:48.92,Default,,0000,0000,0000,,In other words Dialogue: 0,0:10:48.92,0:10:50.51,Default,,0000,0000,0000,,all possibilities are contained Dialogue: 0,0:10:50.51,0:10:51.80,Default,,0000,0000,0000,,within the tenth dimension Dialogue: 0,0:10:51.80,0:10:53.06,Default,,0000,0000,0000,,which would appear to be Dialogue: 0,0:10:53.06,0:10:54.04,Default,,0000,0000,0000,,the concept we have Dialogue: 0,0:10:54.04,0:10:55.20,Default,,0000,0000,0000,,just built for ourselves Dialogue: 0,0:10:55.20,0:10:57.83,Default,,0000,0000,0000,,as we imagined the ten dimensions Dialogue: 0,0:10:57.83,0:10:59.61,Default,,0000,0000,0000,,built one upon another