[ { "id": 0, "end": 3.92, "seek": 0, "text": " Imagine that this folder is a dimensional plane.", "start": 1, "tokens": [ 50415, 11739, 300, 341, 10820, 307, 257, 18795, 5720, 13, 50561 ], "avg_logprob": -0.1921603744094436, "temperature": 0, "no_speech_prob": 0.006485220044851303, "compression_ratio": 1.6842105263157894 }, { "id": 1, "end": 7.6000000000000005, "seek": 0, "text": " Now, assuming that it has no height and no depth, what would this mean?", "start": 3.92, "tokens": [ 50561, 823, 11, 11926, 300, 309, 575, 572, 6681, 293, 572, 7161, 11, 437, 576, 341, 914, 30, 50745 ], "avg_logprob": -0.1921603744094436, "temperature": 0, "no_speech_prob": 0.006485220044851303, "compression_ratio": 1.6842105263157894 }, { "id": 2, "end": 10.68, "seek": 0, "text": " It would mean that it's a one-dimensional world.", "start": 7.6000000000000005, "tokens": [ 50745, 467, 576, 914, 300, 309, 311, 257, 472, 12, 18759, 1002, 13, 50899 ], "avg_logprob": -0.1921603744094436, "temperature": 0, "no_speech_prob": 0.006485220044851303, "compression_ratio": 1.6842105263157894 }, { "id": 3, "end": 15.280000000000001, "seek": 0, "text": " So if, hypothetically, an organism was living inside of it, it would only be able to move", "start": 10.68, "tokens": [ 50899, 407, 498, 11, 24371, 22652, 11, 364, 24128, 390, 2647, 1854, 295, 309, 11, 309, 576, 787, 312, 1075, 281, 1286, 51129 ], "avg_logprob": -0.1921603744094436, "temperature": 0, "no_speech_prob": 0.006485220044851303, "compression_ratio": 1.6842105263157894 }, { "id": 4, "end": 19.240000000000002, "seek": 0, "text": " in a linear path forward and backwards, in a straight line.", "start": 15.280000000000001, "tokens": [ 51129, 294, 257, 8213, 3100, 2128, 293, 12204, 11, 294, 257, 2997, 1622, 13, 51327 ], "avg_logprob": -0.1921603744094436, "temperature": 0, "no_speech_prob": 0.006485220044851303, "compression_ratio": 1.6842105263157894 }, { "id": 5, "end": 23.94, "seek": 0, "text": " Now, if we go to the second dimension, we have two dimensions.", "start": 19.240000000000002, "tokens": [ 51327, 823, 11, 498, 321, 352, 281, 264, 1150, 10139, 11, 321, 362, 732, 12819, 13, 51562 ], "avg_logprob": -0.1921603744094436, "temperature": 0, "no_speech_prob": 0.006485220044851303, "compression_ratio": 1.6842105263157894 }, { "id": 6, "end": 26, "seek": 0, "text": " We have width and we have length.", "start": 23.94, "tokens": [ 51562, 492, 362, 11402, 293, 321, 362, 4641, 13, 51665 ], "avg_logprob": -0.1921603744094436, "temperature": 0, "no_speech_prob": 0.006485220044851303, "compression_ratio": 1.6842105263157894 }, { "id": 7, "end": 30.62, "seek": 2600, "text": " So hypothetically, if an organism lived inside of here, then it would be able to move up,", "start": 26, "tokens": [ 50365, 407, 24371, 22652, 11, 498, 364, 24128, 5152, 1854, 295, 510, 11, 550, 309, 576, 312, 1075, 281, 1286, 493, 11, 50596 ], "avg_logprob": -0.1291365924182239, "temperature": 0.2, "no_speech_prob": 0.00008613757381681353, "compression_ratio": 1.8860759493670887 }, { "id": 8, "end": 34.08, "seek": 2600, "text": " down, left, right, and anywhere else in between.", "start": 30.62, "tokens": [ 50596, 760, 11, 1411, 11, 558, 11, 293, 4992, 1646, 294, 1296, 13, 50769 ], "avg_logprob": -0.1291365924182239, "temperature": 0.2, "no_speech_prob": 0.00008613757381681353, "compression_ratio": 1.8860759493670887 }, { "id": 9, "end": 39.6, "seek": 2600, "text": " And a two-dimensional world is comprised of an infinite series of one-dimensional worlds", "start": 34.08, "tokens": [ 50769, 400, 257, 732, 12, 18759, 1002, 307, 38062, 295, 364, 13785, 2638, 295, 472, 12, 18759, 13401, 51045 ], "avg_logprob": -0.1291365924182239, "temperature": 0.2, "no_speech_prob": 0.00008613757381681353, "compression_ratio": 1.8860759493670887 }, { "id": 10, "end": 42.18, "seek": 2600, "text": " stacked upon each other.", "start": 39.6, "tokens": [ 51045, 28867, 3564, 1184, 661, 13, 51174 ], "avg_logprob": -0.1291365924182239, "temperature": 0.2, "no_speech_prob": 0.00008613757381681353, "compression_ratio": 1.8860759493670887 }, { "id": 11, "end": 49.32, "seek": 2600, "text": " Just as our three-dimensional world, which has depth and length and height, is comprised", "start": 42.18, "tokens": [ 51174, 1449, 382, 527, 1045, 12, 18759, 1002, 11, 597, 575, 7161, 293, 4641, 293, 6681, 11, 307, 38062, 51531 ], "avg_logprob": -0.1291365924182239, "temperature": 0.2, "no_speech_prob": 0.00008613757381681353, "compression_ratio": 1.8860759493670887 }, { "id": 12, "end": 52.519999999999996, "seek": 2600, "text": " of an infinite series of two-dimensional worlds.", "start": 49.32, "tokens": [ 51531, 295, 364, 13785, 2638, 295, 732, 12, 18759, 13401, 13, 51691 ], "avg_logprob": -0.1291365924182239, "temperature": 0.2, "no_speech_prob": 0.00008613757381681353, "compression_ratio": 1.8860759493670887 }, { "id": 13, "end": 56, "seek": 2600, "text": " So now that I have stacked many folders upon each other,", "start": 52.519999999999996, "tokens": [ 51691, 407, 586, 300, 286, 362, 28867, 867, 31082, 3564, 1184, 661, 11, 51865 ], "avg_logprob": -0.1291365924182239, "temperature": 0.2, "no_speech_prob": 0.00008613757381681353, "compression_ratio": 1.8860759493670887 }, { "id": 14, "end": 57.44, "seek": 5600, "text": " we have three dimensions.", "start": 56, "tokens": [ 50365, 321, 362, 1045, 12819, 13, 50437 ], "avg_logprob": -0.14714242334235206, "temperature": 0, "no_speech_prob": 0.0006213394808582962, "compression_ratio": 1.8711864406779661 }, { "id": 15, "end": 59.76, "seek": 5600, "text": " We have depth, we have length, and we have width.", "start": 57.44, "tokens": [ 50437, 492, 362, 7161, 11, 321, 362, 4641, 11, 293, 321, 362, 11402, 13, 50553 ], "avg_logprob": -0.14714242334235206, "temperature": 0, "no_speech_prob": 0.0006213394808582962, "compression_ratio": 1.8711864406779661 }, { "id": 16, "end": 63.36, "seek": 5600, "text": " Now, what happens if you keep going on from here on out?", "start": 59.76, "tokens": [ 50553, 823, 11, 437, 2314, 498, 291, 1066, 516, 322, 490, 510, 322, 484, 30, 50733 ], "avg_logprob": -0.14714242334235206, "temperature": 0, "no_speech_prob": 0.0006213394808582962, "compression_ratio": 1.8711864406779661 }, { "id": 17, "end": 67.04, "seek": 5600, "text": " We would have a four-dimensional world, but what exactly is a fourth dimension?", "start": 63.36, "tokens": [ 50733, 492, 576, 362, 257, 1451, 12, 18759, 1002, 11, 457, 437, 2293, 307, 257, 6409, 10139, 30, 50917 ], "avg_logprob": -0.14714242334235206, "temperature": 0, "no_speech_prob": 0.0006213394808582962, "compression_ratio": 1.8711864406779661 }, { "id": 18, "end": 72.24000000000001, "seek": 5600, "text": " In order to understand this, we need to understand how dimensions are perceived.", "start": 67.04, "tokens": [ 50917, 682, 1668, 281, 1223, 341, 11, 321, 643, 281, 1223, 577, 12819, 366, 19049, 13, 51177 ], "avg_logprob": -0.14714242334235206, "temperature": 0, "no_speech_prob": 0.0006213394808582962, "compression_ratio": 1.8711864406779661 }, { "id": 19, "end": 76.98, "seek": 5600, "text": " We live in the three-dimensional world, but despite that, we actually view things to be", "start": 72.24000000000001, "tokens": [ 51177, 492, 1621, 294, 264, 1045, 12, 18759, 1002, 11, 457, 7228, 300, 11, 321, 767, 1910, 721, 281, 312, 51414 ], "avg_logprob": -0.14714242334235206, "temperature": 0, "no_speech_prob": 0.0006213394808582962, "compression_ratio": 1.8711864406779661 }, { "id": 20, "end": 78.26, "seek": 5600, "text": " two-dimensionally.", "start": 76.98, "tokens": [ 51414, 732, 12, 13595, 3378, 379, 13, 51478 ], "avg_logprob": -0.14714242334235206, "temperature": 0, "no_speech_prob": 0.0006213394808582962, "compression_ratio": 1.8711864406779661 }, { "id": 21, "end": 80.36, "seek": 5600, "text": " Take a perfect sphere, for example.", "start": 78.26, "tokens": [ 51478, 3664, 257, 2176, 16687, 11, 337, 1365, 13, 51583 ], "avg_logprob": -0.14714242334235206, "temperature": 0, "no_speech_prob": 0.0006213394808582962, "compression_ratio": 1.8711864406779661 }, { "id": 22, "end": 84.82, "seek": 5600, "text": " If you're looking at a sphere, it looks just like a regular two-dimensional circle.", "start": 80.36, "tokens": [ 51583, 759, 291, 434, 1237, 412, 257, 16687, 11, 309, 1542, 445, 411, 257, 3890, 732, 12, 18759, 6329, 13, 51806 ], "avg_logprob": -0.14714242334235206, "temperature": 0, "no_speech_prob": 0.0006213394808582962, "compression_ratio": 1.8711864406779661 }, { "id": 23, "end": 85.82, "seek": 5600, "text": " The only way that you can tell,", "start": 84.82, "tokens": [ 51806, 440, 787, 636, 300, 291, 393, 980, 11, 51856 ], "avg_logprob": -0.14714242334235206, "temperature": 0, "no_speech_prob": 0.0006213394808582962, "compression_ratio": 1.8711864406779661 }, { "id": 24, "end": 90.77999999999999, "seek": 8582, "text": " it's an actual sphere instead of a circle, is because of the hues of light down.", "start": 85.82, "tokens": [ 50365, 309, 311, 364, 3539, 16687, 2602, 295, 257, 6329, 11, 307, 570, 295, 264, 276, 1247, 295, 1442, 760, 13, 50613 ], "avg_logprob": -0.14585945010185242, "temperature": 0, "no_speech_prob": 0.0001726111804600805, "compression_ratio": 1.849624060150376 }, { "id": 25, "end": 96.1, "seek": 8582, "text": " So just like in a two-dimensional world, if an organism in the two-dimensional world was", "start": 90.77999999999999, "tokens": [ 50613, 407, 445, 411, 294, 257, 732, 12, 18759, 1002, 11, 498, 364, 24128, 294, 264, 732, 12, 18759, 1002, 390, 50879 ], "avg_logprob": -0.14585945010185242, "temperature": 0, "no_speech_prob": 0.0001726111804600805, "compression_ratio": 1.849624060150376 }, { "id": 26, "end": 102.11999999999999, "seek": 8582, "text": " looking upon a circle, the light would make it appear to be lighter at one end and darker", "start": 96.1, "tokens": [ 50879, 1237, 3564, 257, 6329, 11, 264, 1442, 576, 652, 309, 4204, 281, 312, 11546, 412, 472, 917, 293, 12741, 51180 ], "avg_logprob": -0.14585945010185242, "temperature": 0, "no_speech_prob": 0.0001726111804600805, "compression_ratio": 1.849624060150376 }, { "id": 27, "end": 104.11999999999999, "seek": 8582, "text": " at the middle.", "start": 102.11999999999999, "tokens": [ 51180, 412, 264, 2808, 13, 51280 ], "avg_logprob": -0.14585945010185242, "temperature": 0, "no_speech_prob": 0.0001726111804600805, "compression_ratio": 1.849624060150376 }, { "id": 28, "end": 108.89999999999999, "seek": 8582, "text": " Also, if an object is moving farther, closer and farther away from you, you don't actually", "start": 104.11999999999999, "tokens": [ 51280, 2743, 11, 498, 364, 2657, 307, 2684, 20344, 11, 4966, 293, 20344, 1314, 490, 291, 11, 291, 500, 380, 767, 51519 ], "avg_logprob": -0.14585945010185242, "temperature": 0, "no_speech_prob": 0.0001726111804600805, "compression_ratio": 1.849624060150376 }, { "id": 29, "end": 111.88, "seek": 8582, "text": " perceive that it's getting closer and farther away.", "start": 108.89999999999999, "tokens": [ 51519, 20281, 300, 309, 311, 1242, 4966, 293, 20344, 1314, 13, 51668 ], "avg_logprob": -0.14585945010185242, "temperature": 0, "no_speech_prob": 0.0001726111804600805, "compression_ratio": 1.849624060150376 }, { "id": 30, "end": 114.69999999999999, "seek": 8582, "text": " You see that it's getting smaller or larger.", "start": 111.88, "tokens": [ 51668, 509, 536, 300, 309, 311, 1242, 4356, 420, 4833, 13, 51809 ], "avg_logprob": -0.14585945010185242, "temperature": 0, "no_speech_prob": 0.0001726111804600805, "compression_ratio": 1.849624060150376 }, { "id": 31, "end": 115.69999999999999, "seek": 8582, "text": " And then you assume that it's", "start": 114.69999999999999, "tokens": [ 51809, 400, 550, 291, 6552, 300, 309, 311, 51859 ], "avg_logprob": -0.14585945010185242, "temperature": 0, "no_speech_prob": 0.0001726111804600805, "compression_ratio": 1.849624060150376 }, { "id": 32, "end": 118.88000000000001, "seek": 11570, "text": " getting either farther away or closer.", "start": 115.7, "tokens": [ 50365, 1242, 2139, 20344, 1314, 420, 4966, 13, 50524 ], "avg_logprob": -0.2125005563100179, "temperature": 0, "no_speech_prob": 0.0006410816567949951, "compression_ratio": 1.788888888888889 }, { "id": 33, "end": 125.08, "seek": 11570, "text": " But let's say that an object was to grow in perfect equilibrium, so that it was growing", "start": 118.88000000000001, "tokens": [ 50524, 583, 718, 311, 584, 300, 364, 2657, 390, 281, 1852, 294, 2176, 15625, 11, 370, 300, 309, 390, 4194, 50834 ], "avg_logprob": -0.2125005563100179, "temperature": 0, "no_speech_prob": 0.0006410816567949951, "compression_ratio": 1.788888888888889 }, { "id": 34, "end": 129.02, "seek": 11570, "text": " at the same speed that it was shrinking as you move it farther away.", "start": 125.08, "tokens": [ 50834, 412, 264, 912, 3073, 300, 309, 390, 41684, 382, 291, 1286, 309, 20344, 1314, 13, 51031 ], "avg_logprob": -0.2125005563100179, "temperature": 0, "no_speech_prob": 0.0006410816567949951, "compression_ratio": 1.788888888888889 }, { "id": 35, "end": 133.62, "seek": 11570, "text": " Then you would not be able to tell without any lights or if there were details on the", "start": 129.02, "tokens": [ 51031, 1396, 291, 576, 406, 312, 1075, 281, 980, 1553, 604, 5811, 420, 498, 456, 645, 4365, 322, 264, 51261 ], "avg_logprob": -0.2125005563100179, "temperature": 0, "no_speech_prob": 0.0006410816567949951, "compression_ratio": 1.788888888888889 }, { "id": 36, "end": 136.46, "seek": 11570, "text": " object that it's moving or growing at all.", "start": 133.62, "tokens": [ 51261, 2657, 300, 309, 311, 2684, 420, 4194, 412, 439, 13, 51403 ], "avg_logprob": -0.2125005563100179, "temperature": 0, "no_speech_prob": 0.0006410816567949951, "compression_ratio": 1.788888888888889 }, { "id": 37, "end": 141.74, "seek": 11570, "text": " You may have assumed that since we perceive things to be in two dimensions, that a two-dimensional", "start": 136.46, "tokens": [ 51403, 509, 815, 362, 15895, 300, 1670, 321, 20281, 721, 281, 312, 294, 732, 12819, 11, 300, 257, 732, 12, 18759, 51667 ], "avg_logprob": -0.2125005563100179, "temperature": 0, "no_speech_prob": 0.0006410816567949951, "compression_ratio": 1.788888888888889 }, { "id": 38, "end": 144.66, "seek": 11570, "text": " organism would see in one dimension.", "start": 141.74, "tokens": [ 51667, 24128, 576, 536, 294, 472, 10139, 13, 51813 ], "avg_logprob": -0.2125005563100179, "temperature": 0, "no_speech_prob": 0.0006410816567949951, "compression_ratio": 1.788888888888889 }, { "id": 39, "end": 145.66, "seek": 11570, "text": " So, what do you think?", "start": 144.66, "tokens": [ 51813, 407, 11, 437, 360, 291, 519, 30, 51863 ], "avg_logprob": -0.2125005563100179, "temperature": 0, "no_speech_prob": 0.0006410816567949951, "compression_ratio": 1.788888888888889 }, { "id": 40, "end": 152.66, "seek": 14570, "text": " Well, as we're watching this rubber band expand as it moves farther away from this little", "start": 145.7, "tokens": [ 50365, 1042, 11, 382, 321, 434, 1976, 341, 11593, 4116, 5268, 382, 309, 6067, 20344, 1314, 490, 341, 707, 50713 ], "avg_logprob": -0.12922393135402513, "temperature": 0, "no_speech_prob": 0.003400973277166486, "compression_ratio": 1.9122137404580153 }, { "id": 41, "end": 157.17999999999998, "seek": 14570, "text": " organism in the two-dimensional world, it does not actually perceive anything is happening", "start": 152.66, "tokens": [ 50713, 24128, 294, 264, 732, 12, 18759, 1002, 11, 309, 775, 406, 767, 20281, 1340, 307, 2737, 50939 ], "avg_logprob": -0.12922393135402513, "temperature": 0, "no_speech_prob": 0.003400973277166486, "compression_ratio": 1.9122137404580153 }, { "id": 42, "end": 161.48, "seek": 14570, "text": " to it because it's growing at the same speed that it's moving farther away.", "start": 157.17999999999998, "tokens": [ 50939, 281, 309, 570, 309, 311, 4194, 412, 264, 912, 3073, 300, 309, 311, 2684, 20344, 1314, 13, 51154 ], "avg_logprob": -0.12922393135402513, "temperature": 0, "no_speech_prob": 0.003400973277166486, "compression_ratio": 1.9122137404580153 }, { "id": 43, "end": 165.07999999999998, "seek": 14570, "text": " But since we can actually see it from the three-dimensional world and perceive things", "start": 161.48, "tokens": [ 51154, 583, 1670, 321, 393, 767, 536, 309, 490, 264, 1045, 12, 18759, 1002, 293, 20281, 721, 51334 ], "avg_logprob": -0.12922393135402513, "temperature": 0, "no_speech_prob": 0.003400973277166486, "compression_ratio": 1.9122137404580153 }, { "id": 44, "end": 171.07999999999998, "seek": 14570, "text": " to be in two dimensions, we can see things for how they actually are.", "start": 165.07999999999998, "tokens": [ 51334, 281, 312, 294, 732, 12819, 11, 321, 393, 536, 721, 337, 577, 436, 767, 366, 13, 51634 ], "avg_logprob": -0.12922393135402513, "temperature": 0, "no_speech_prob": 0.003400973277166486, "compression_ratio": 1.9122137404580153 }, { "id": 45, "end": 174.98, "seek": 14570, "text": " The reason that the two-dimensional organism doesn't see things the way they really are,", "start": 171.07999999999998, "tokens": [ 51634, 440, 1778, 300, 264, 732, 12, 18759, 24128, 1177, 380, 536, 721, 264, 636, 436, 534, 366, 11, 51829 ], "avg_logprob": -0.12922393135402513, "temperature": 0, "no_speech_prob": 0.003400973277166486, "compression_ratio": 1.9122137404580153 }, { "id": 46, "end": 179.7, "seek": 17498, "text": " is because the two-dimensional organism sees things in one dimension, just how we, three-dimensional", "start": 174.98, "tokens": [ 50365, 307, 570, 264, 732, 12, 18759, 24128, 8194, 721, 294, 472, 10139, 11, 445, 577, 321, 11, 1045, 12, 18759, 50601 ], "avg_logprob": -0.14828642820700622, "temperature": 0, "no_speech_prob": 0.001294064219109714, "compression_ratio": 1.9236947791164658 }, { "id": 47, "end": 182.67999999999998, "seek": 17498, "text": " creatures, see things in two dimensions.", "start": 179.7, "tokens": [ 50601, 12281, 11, 536, 721, 294, 732, 12819, 13, 50750 ], "avg_logprob": -0.14828642820700622, "temperature": 0, "no_speech_prob": 0.001294064219109714, "compression_ratio": 1.9236947791164658 }, { "id": 48, "end": 186.26, "seek": 17498, "text": " So in a way, we don't really see our world the way it truly is.", "start": 182.67999999999998, "tokens": [ 50750, 407, 294, 257, 636, 11, 321, 500, 380, 534, 536, 527, 1002, 264, 636, 309, 4908, 307, 13, 50929 ], "avg_logprob": -0.14828642820700622, "temperature": 0, "no_speech_prob": 0.001294064219109714, "compression_ratio": 1.9236947791164658 }, { "id": 49, "end": 190.94, "seek": 17498, "text": " A four-dimensional creature, however, seeing our three-dimensional world in three dimensions", "start": 186.26, "tokens": [ 50929, 316, 1451, 12, 18759, 12797, 11, 4461, 11, 2577, 527, 1045, 12, 18759, 1002, 294, 1045, 12819, 51163 ], "avg_logprob": -0.14828642820700622, "temperature": 0, "no_speech_prob": 0.001294064219109714, "compression_ratio": 1.9236947791164658 }, { "id": 50, "end": 193.1, "seek": 17498, "text": " would be able to see through things.", "start": 190.94, "tokens": [ 51163, 576, 312, 1075, 281, 536, 807, 721, 13, 51271 ], "avg_logprob": -0.14828642820700622, "temperature": 0, "no_speech_prob": 0.001294064219109714, "compression_ratio": 1.9236947791164658 }, { "id": 51, "end": 195.48, "seek": 17498, "text": " It would be able to see absolutely everything.", "start": 193.1, "tokens": [ 51271, 467, 576, 312, 1075, 281, 536, 3122, 1203, 13, 51390 ], "avg_logprob": -0.14828642820700622, "temperature": 0, "no_speech_prob": 0.001294064219109714, "compression_ratio": 1.9236947791164658 }, { "id": 52, "end": 203.32, "seek": 17498, "text": " Just as we could see if there was several organisms spread along a 2D environment on", "start": 195.48, "tokens": [ 51390, 1449, 382, 321, 727, 536, 498, 456, 390, 2940, 22110, 3974, 2051, 257, 568, 35, 2823, 322, 51782 ], "avg_logprob": -0.14828642820700622, "temperature": 0, "no_speech_prob": 0.001294064219109714, "compression_ratio": 1.9236947791164658 }, { "id": 53, "end": 204.32, "seek": 17498, "text": " your floor.", "start": 203.32, "tokens": [ 51782, 428, 4123, 13, 51832 ], "avg_logprob": -0.14828642820700622, "temperature": 0, "no_speech_prob": 0.001294064219109714, "compression_ratio": 1.9236947791164658 }, { "id": 54, "end": 208.35999999999999, "seek": 20498, "text": " Just as we could see inside houses, it would be able to see inside of people.", "start": 204.98, "tokens": [ 50365, 1449, 382, 321, 727, 536, 1854, 8078, 11, 309, 576, 312, 1075, 281, 536, 1854, 295, 561, 13, 50534 ], "avg_logprob": -0.3279437753889296, "temperature": 0, "no_speech_prob": 0.0027340855449438095, "compression_ratio": 2.012 }, { "id": 55, "end": 214.64, "seek": 20498, "text": " So if a two-dimensional world, a flat surface, is just made of an infinite amount of lines,", "start": 208.35999999999999, "tokens": [ 50534, 407, 498, 257, 732, 12, 18759, 1002, 11, 257, 4962, 3753, 11, 307, 445, 1027, 295, 364, 13785, 2372, 295, 3876, 11, 50848 ], "avg_logprob": -0.3279437753889296, "temperature": 0, "no_speech_prob": 0.0027340855449438095, "compression_ratio": 2.012 }, { "id": 56, "end": 219.17999999999998, "seek": 20498, "text": " then the 3D world is just made out of an infinite amount of planes.", "start": 214.64, "tokens": [ 50848, 550, 264, 805, 35, 1002, 307, 445, 1027, 484, 295, 364, 13785, 2372, 295, 14952, 13, 51075 ], "avg_logprob": -0.3279437753889296, "temperature": 0, "no_speech_prob": 0.0027340855449438095, "compression_ratio": 2.012 }, { "id": 57, "end": 225.48, "seek": 20498, "text": " So the 4D world, logically, is made out of an infinite amount of 3D objects.", "start": 219.17999999999998, "tokens": [ 51075, 407, 264, 1017, 35, 1002, 11, 38887, 11, 307, 1027, 484, 295, 364, 13785, 2372, 295, 805, 35, 6565, 13, 51390 ], "avg_logprob": -0.3279437753889296, "temperature": 0, "no_speech_prob": 0.0027340855449438095, "compression_ratio": 2.012 }, { "id": 58, "end": 230.98, "seek": 20498, "text": " Though they're not just put together like building blocks.", "start": 225.48, "tokens": [ 51390, 10404, 436, 434, 406, 445, 829, 1214, 411, 2390, 8474, 13, 51665 ], "avg_logprob": -0.3279437753889296, "temperature": 0, "no_speech_prob": 0.0027340855449438095, "compression_ratio": 2.012 }, { "id": 59, "end": 232.48, "seek": 20498, "text": " That's not how the 4D world is.", "start": 230.98, "tokens": [ 51665, 663, 311, 406, 577, 264, 1017, 35, 1002, 307, 13, 51740 ], "avg_logprob": -0.3279437753889296, "temperature": 0, "no_speech_prob": 0.0027340855449438095, "compression_ratio": 2.012 }, { "id": 60, "end": 233.7, "seek": 20498, "text": " That would just be 3D again.", "start": 232.48, "tokens": [ 51740, 663, 576, 445, 312, 805, 35, 797, 13, 51801 ], "avg_logprob": -0.3279437753889296, "temperature": 0, "no_speech_prob": 0.0027340855449438095, "compression_ratio": 2.012 }, { "id": 61, "end": 234.7, "seek": 20498, "text": " So, if you're looking at a 3D object, you're looking at a 3D object.", "start": 233.7, "tokens": [ 51801, 407, 11, 498, 291, 434, 1237, 412, 257, 805, 35, 2657, 11, 291, 434, 1237, 412, 257, 805, 35, 2657, 13, 51851 ], "avg_logprob": -0.3279437753889296, "temperature": 0, "no_speech_prob": 0.0027340855449438095, "compression_ratio": 2.012 }, { "id": 62, "end": 241.16, "seek": 23470, "text": " So, in order to understand this, you need to understand the logical progression of mathematics", "start": 234.7, "tokens": [ 50365, 407, 11, 294, 1668, 281, 1223, 341, 11, 291, 643, 281, 1223, 264, 14978, 18733, 295, 18666, 50688 ], "avg_logprob": -0.15434185663859049, "temperature": 0, "no_speech_prob": 0.0005613964167423546, "compression_ratio": 1.7581967213114753 }, { "id": 63, "end": 244.22, "seek": 23470, "text": " in our world.", "start": 241.16, "tokens": [ 50688, 294, 527, 1002, 13, 50841 ], "avg_logprob": -0.15434185663859049, "temperature": 0, "no_speech_prob": 0.0005613964167423546, "compression_ratio": 1.7581967213114753 }, { "id": 64, "end": 247.45999999999998, "seek": 23470, "text": " Imagine that this K'nex piece represents the first dimension.", "start": 244.22, "tokens": [ 50841, 11739, 300, 341, 591, 6, 716, 87, 2522, 8855, 264, 700, 10139, 13, 51003 ], "avg_logprob": -0.15434185663859049, "temperature": 0, "no_speech_prob": 0.0005613964167423546, "compression_ratio": 1.7581967213114753 }, { "id": 65, "end": 252.28, "seek": 23470, "text": " It's simply a straight line, which is basically what the first dimension looks like.", "start": 247.45999999999998, "tokens": [ 51003, 467, 311, 2935, 257, 2997, 1622, 11, 597, 307, 1936, 437, 264, 700, 10139, 1542, 411, 13, 51244 ], "avg_logprob": -0.15434185663859049, "temperature": 0, "no_speech_prob": 0.0005613964167423546, "compression_ratio": 1.7581967213114753 }, { "id": 66, "end": 259.59999999999997, "seek": 23470, "text": " And if you add three more of these straight lines and connect them so that adjacent sides", "start": 252.28, "tokens": [ 51244, 400, 498, 291, 909, 1045, 544, 295, 613, 2997, 3876, 293, 1745, 552, 370, 300, 24441, 4881, 51610 ], "avg_logprob": -0.15434185663859049, "temperature": 0, "no_speech_prob": 0.0005613964167423546, "compression_ratio": 1.7581967213114753 }, { "id": 67, "end": 264.7, "seek": 23470, "text": " are perpendicular and opposite sides are parallel, then you have the basic shape of", "start": 259.59999999999997, "tokens": [ 51610, 366, 26734, 293, 6182, 4881, 366, 8952, 11, 550, 291, 362, 264, 3875, 3909, 295, 51865 ], "avg_logprob": -0.15434185663859049, "temperature": 0, "no_speech_prob": 0.0005613964167423546, "compression_ratio": 1.7581967213114753 }, { "id": 68, "end": 265.7, "seek": 26470, "text": " the second dimension.", "start": 264.7, "tokens": [ 50365, 264, 1150, 10139, 13, 50415 ], "avg_logprob": -0.22948164410061306, "temperature": 0, "no_speech_prob": 0.0007553246105089784, "compression_ratio": 2.277056277056277 }, { "id": 69, "end": 266.7, "seek": 26470, "text": " You have a square.", "start": 265.7, "tokens": [ 50415, 509, 362, 257, 3732, 13, 50465 ], "avg_logprob": -0.22948164410061306, "temperature": 0, "no_speech_prob": 0.0007553246105089784, "compression_ratio": 2.277056277056277 }, { "id": 70, "end": 271.7, "seek": 26470, "text": " Now, if you keep going from here, and you add four, add it so that there's a total of", "start": 266.7, "tokens": [ 50465, 823, 11, 498, 291, 1066, 516, 490, 510, 11, 293, 291, 909, 1451, 11, 909, 309, 370, 300, 456, 311, 257, 3217, 295, 50715 ], "avg_logprob": -0.22948164410061306, "temperature": 0, "no_speech_prob": 0.0007553246105089784, "compression_ratio": 2.277056277056277 }, { "id": 71, "end": 279.56, "seek": 26470, "text": " four squares, and all adjacent sides are perpendicular, and all opposite sides are parallel, then", "start": 271.7, "tokens": [ 50715, 1451, 19368, 11, 293, 439, 24441, 4881, 366, 26734, 11, 293, 439, 6182, 4881, 366, 8952, 11, 550, 51108 ], "avg_logprob": -0.22948164410061306, "temperature": 0, "no_speech_prob": 0.0007553246105089784, "compression_ratio": 2.277056277056277 }, { "id": 72, "end": 286.64, "seek": 26470, "text": " you end up with, obviously, a cube.", "start": 279.56, "tokens": [ 51108, 291, 917, 493, 365, 11, 2745, 11, 257, 13728, 13, 51462 ], "avg_logprob": -0.22948164410061306, "temperature": 0, "no_speech_prob": 0.0007553246105089784, "compression_ratio": 2.277056277056277 }, { "id": 73, "end": 292.21999999999997, "seek": 26470, "text": " So if you tried to keep going from here, and you would have a four-dimensional basic shape,", "start": 286.64, "tokens": [ 51462, 407, 498, 291, 3031, 281, 1066, 516, 490, 510, 11, 293, 291, 576, 362, 257, 1451, 12, 18759, 3875, 3909, 11, 51741 ], "avg_logprob": -0.22948164410061306, "temperature": 0, "no_speech_prob": 0.0007553246105089784, "compression_ratio": 2.277056277056277 }, { "id": 74, "end": 293.38, "seek": 26470, "text": " you would have a, what's called a tesseract.", "start": 292.21999999999997, "tokens": [ 51741, 291, 576, 362, 257, 11, 437, 311, 1219, 257, 256, 14239, 578, 13, 51799 ], "avg_logprob": -0.22948164410061306, "temperature": 0, "no_speech_prob": 0.0007553246105089784, "compression_ratio": 2.277056277056277 }, { "id": 75, "end": 294.38, "seek": 26470, "text": " So, if you keep going from here, and you would have a four-dimensional basic shape, you would have a, what's called a tesseract.", "start": 293.38, "tokens": [ 51799, 407, 11, 498, 291, 1066, 516, 490, 510, 11, 293, 291, 576, 362, 257, 1451, 12, 18759, 3875, 3909, 11, 291, 576, 362, 257, 11, 437, 311, 1219, 257, 256, 14239, 578, 13, 51849 ], "avg_logprob": -0.22948164410061306, "temperature": 0, "no_speech_prob": 0.0007553246105089784, "compression_ratio": 2.277056277056277 }, { "id": 76, "end": 301.02, "seek": 29470, "text": " Now, I cannot show you a tesseract, but you need to understand that it's basically four", "start": 294.7, "tokens": [ 50365, 823, 11, 286, 2644, 855, 291, 257, 256, 14239, 578, 11, 457, 291, 643, 281, 1223, 300, 309, 311, 1936, 1451, 50681 ], "avg_logprob": -0.2328501682655484, "temperature": 0.2, "no_speech_prob": 0.0016096773324534297, "compression_ratio": 1.7876106194690264 }, { "id": 77, "end": 310.06, "seek": 29470, "text": " cubes that are within each other that have all adjacent sides perpendicular and all opposite", "start": 301.02, "tokens": [ 50681, 25415, 300, 366, 1951, 1184, 661, 300, 362, 439, 24441, 4881, 26734, 293, 439, 6182, 51133 ], "avg_logprob": -0.2328501682655484, "temperature": 0.2, "no_speech_prob": 0.0016096773324534297, "compression_ratio": 1.7876106194690264 }, { "id": 78, "end": 311.06, "seek": 29470, "text": " sides parallel.", "start": 310.06, "tokens": [ 51133, 4881, 8952, 13, 51183 ], "avg_logprob": -0.2328501682655484, "temperature": 0.2, "no_speech_prob": 0.0016096773324534297, "compression_ratio": 1.7876106194690264 }, { "id": 79, "end": 317.34, "seek": 29470, "text": " Yet there are three lines, four lines, connecting to each vertex.", "start": 311.06, "tokens": [ 51183, 10890, 456, 366, 1045, 3876, 11, 1451, 3876, 11, 11015, 281, 1184, 28162, 13, 51497 ], "avg_logprob": -0.2328501682655484, "temperature": 0.2, "no_speech_prob": 0.0016096773324534297, "compression_ratio": 1.7876106194690264 }, { "id": 80, "end": 321.38, "seek": 29470, "text": " So a tesseract would look somewhat like this picture.", "start": 317.34, "tokens": [ 51497, 407, 257, 256, 14239, 578, 576, 574, 8344, 411, 341, 3036, 13, 51699 ], "avg_logprob": -0.2328501682655484, "temperature": 0.2, "no_speech_prob": 0.0016096773324534297, "compression_ratio": 1.7876106194690264 }, { "id": 81, "end": 323.7, "seek": 29470, "text": " Now, that's not exactly what it looks like.", "start": 321.38, "tokens": [ 51699, 823, 11, 300, 311, 406, 2293, 437, 309, 1542, 411, 13, 51815 ], "avg_logprob": -0.2328501682655484, "temperature": 0.2, "no_speech_prob": 0.0016096773324534297, "compression_ratio": 1.7876106194690264 }, { "id": 82, "end": 324.7, "seek": 29470, "text": " Now, that's not exactly what it looks like.", "start": 323.7, "tokens": [ 51815, 823, 11, 300, 311, 406, 2293, 437, 309, 1542, 411, 13, 51865 ], "avg_logprob": -0.2328501682655484, "temperature": 0.2, "no_speech_prob": 0.0016096773324534297, "compression_ratio": 1.7876106194690264 }, { "id": 83, "end": 325.7, "seek": 32470, "text": " Now, that's not exactly what it looks like.", "start": 324.7, "tokens": [ 50365, 823, 11, 300, 311, 406, 2293, 437, 309, 1542, 411, 13, 50415 ], "avg_logprob": -0.21448286096532862, "temperature": 0.2, "no_speech_prob": 0.0013140961527824402, "compression_ratio": 1.9581881533101044 }, { "id": 84, "end": 329.82, "seek": 32470, "text": " It's just a two-dimensional depiction, and obviously, not all of the lines are straight.", "start": 325.7, "tokens": [ 50415, 467, 311, 445, 257, 732, 12, 18759, 47740, 11, 293, 2745, 11, 406, 439, 295, 264, 3876, 366, 2997, 13, 50621 ], "avg_logprob": -0.21448286096532862, "temperature": 0.2, "no_speech_prob": 0.0013140961527824402, "compression_ratio": 1.9581881533101044 }, { "id": 85, "end": 334.74, "seek": 32470, "text": " So I cannot show you what a tesseract actually looks like, because we cannot perceive things", "start": 329.82, "tokens": [ 50621, 407, 286, 2644, 855, 291, 437, 257, 256, 14239, 578, 767, 1542, 411, 11, 570, 321, 2644, 20281, 721, 50867 ], "avg_logprob": -0.21448286096532862, "temperature": 0.2, "no_speech_prob": 0.0013140961527824402, "compression_ratio": 1.9581881533101044 }, { "id": 86, "end": 337.03999999999996, "seek": 32470, "text": " in the third dimension.", "start": 334.74, "tokens": [ 50867, 294, 264, 2636, 10139, 13, 50982 ], "avg_logprob": -0.21448286096532862, "temperature": 0.2, "no_speech_prob": 0.0013140961527824402, "compression_ratio": 1.9581881533101044 }, { "id": 87, "end": 339.82, "seek": 32470, "text": " You cannot even imagine what a tesseract looks like.", "start": 337.03999999999996, "tokens": [ 50982, 509, 2644, 754, 3811, 437, 257, 256, 14239, 578, 1542, 411, 13, 51121 ], "avg_logprob": -0.21448286096532862, "temperature": 0.2, "no_speech_prob": 0.0013140961527824402, "compression_ratio": 1.9581881533101044 }, { "id": 88, "end": 345.71999999999997, "seek": 32470, "text": " You cannot physically, you cannot in your mind picture the fourth dimension or a fourth-dimensional", "start": 339.82, "tokens": [ 51121, 509, 2644, 9762, 11, 291, 2644, 294, 428, 1575, 3036, 264, 6409, 10139, 420, 257, 6409, 12, 18759, 51416 ], "avg_logprob": -0.21448286096532862, "temperature": 0.2, "no_speech_prob": 0.0013140961527824402, "compression_ratio": 1.9581881533101044 }, { "id": 89, "end": 346.71999999999997, "seek": 32470, "text": " shape.", "start": 345.71999999999997, "tokens": [ 51416, 3909, 13, 51466 ], "avg_logprob": -0.21448286096532862, "temperature": 0.2, "no_speech_prob": 0.0013140961527824402, "compression_ratio": 1.9581881533101044 }, { "id": 90, "end": 348.46, "seek": 32470, "text": " And you can keep going on from the fourth dimension even.", "start": 346.71999999999997, "tokens": [ 51466, 400, 291, 393, 1066, 516, 322, 490, 264, 6409, 10139, 754, 13, 51553 ], "avg_logprob": -0.21448286096532862, "temperature": 0.2, "no_speech_prob": 0.0013140961527824402, "compression_ratio": 1.9581881533101044 }, { "id": 91, "end": 352.12, "seek": 32470, "text": " You can go to the fifth dimension, the sixth dimension, the 71st dimension.", "start": 348.46, "tokens": [ 51553, 509, 393, 352, 281, 264, 9266, 10139, 11, 264, 15102, 10139, 11, 264, 30942, 372, 10139, 13, 51736 ], "avg_logprob": -0.21448286096532862, "temperature": 0.2, "no_speech_prob": 0.0013140961527824402, "compression_ratio": 1.9581881533101044 }, { "id": 92, "end": 353.38, "seek": 32470, "text": " It doesn't matter.", "start": 352.12, "tokens": [ 51736, 467, 1177, 380, 1871, 13, 51799 ], "avg_logprob": -0.21448286096532862, "temperature": 0.2, "no_speech_prob": 0.0013140961527824402, "compression_ratio": 1.9581881533101044 }, { "id": 93, "end": 355.42, "seek": 35338, "text": " The fourth dimension is the fourth dimension.", "start": 353.38, "tokens": [ 50365, 440, 6409, 10139, 307, 264, 6409, 10139, 13, 50467 ], "avg_logprob": -0.27784258820289787, "temperature": 0, "no_speech_prob": 0.001454317243769765, "compression_ratio": 2.0855018587360594 }, { "id": 94, "end": 359.02, "seek": 35338, "text": " And theoretically, there are an infinite amount of spatial dimensions.", "start": 355.42, "tokens": [ 50467, 400, 29400, 11, 456, 366, 364, 13785, 2372, 295, 23598, 12819, 13, 50647 ], "avg_logprob": -0.27784258820289787, "temperature": 0, "no_speech_prob": 0.001454317243769765, "compression_ratio": 2.0855018587360594 }, { "id": 95, "end": 363.62, "seek": 35338, "text": " A common misconception of the fourth dimension is that the fourth dimension is time.", "start": 359.02, "tokens": [ 50647, 316, 2689, 41350, 295, 264, 6409, 10139, 307, 300, 264, 6409, 10139, 307, 565, 13, 50877 ], "avg_logprob": -0.27784258820289787, "temperature": 0, "no_speech_prob": 0.001454317243769765, "compression_ratio": 2.0855018587360594 }, { "id": 96, "end": 369.26, "seek": 35338, "text": " Now, while some argue that by going forward and backwards in time, if you move forward", "start": 363.62, "tokens": [ 50877, 823, 11, 1339, 512, 9695, 300, 538, 516, 2128, 293, 12204, 294, 565, 11, 498, 291, 1286, 2128, 51159 ], "avg_logprob": -0.27784258820289787, "temperature": 0, "no_speech_prob": 0.001454317243769765, "compression_ratio": 2.0855018587360594 }, { "id": 97, "end": 374.14, "seek": 35338, "text": " the same distance and backwards the same, then you would end up in the same place you", "start": 369.26, "tokens": [ 51159, 264, 912, 4560, 293, 12204, 264, 912, 11, 550, 291, 576, 917, 493, 294, 264, 912, 1081, 291, 51403 ], "avg_logprob": -0.27784258820289787, "temperature": 0, "no_speech_prob": 0.001454317243769765, "compression_ratio": 2.0855018587360594 }, { "id": 98, "end": 376.26, "seek": 35338, "text": " started, just like in the fourth dimension.", "start": 374.14, "tokens": [ 51403, 1409, 11, 445, 411, 294, 264, 6409, 10139, 13, 51509 ], "avg_logprob": -0.27784258820289787, "temperature": 0, "no_speech_prob": 0.001454317243769765, "compression_ratio": 2.0855018587360594 }, { "id": 99, "end": 380.38, "seek": 35338, "text": " And while that may seem logical, if you think about it, it really doesn't make sense.", "start": 376.26, "tokens": [ 51509, 400, 1339, 300, 815, 1643, 14978, 11, 498, 291, 519, 466, 309, 11, 309, 534, 1177, 380, 652, 2020, 13, 51715 ], "avg_logprob": -0.27784258820289787, "temperature": 0, "no_speech_prob": 0.001454317243769765, "compression_ratio": 2.0855018587360594 }, { "id": 100, "end": 383.21999999999997, "seek": 35338, "text": " If you imply that the fourth dimension is actually time.", "start": 380.38, "tokens": [ 51715, 759, 291, 33616, 300, 264, 6409, 10139, 307, 767, 565, 13, 51857 ], "avg_logprob": 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50616, 400, 11926, 300, 439, 12819, 366, 4650, 281, 257, 5102, 11, 550, 300, 1177, 380, 534, 652, 50914 ], "avg_logprob": -0.2170574093653151, "temperature": 0, "no_speech_prob": 0.0032462922390550375, "compression_ratio": 1.9038461538461537 }, { "id": 104, "end": 395.20000000000005, "seek": 38322, "text": " sense either.", "start": 394.20000000000005, "tokens": [ 50914, 2020, 2139, 13, 50964 ], "avg_logprob": -0.2170574093653151, "temperature": 0, "no_speech_prob": 0.0032462922390550375, "compression_ratio": 1.9038461538461537 }, { "id": 105, "end": 400.96000000000004, "seek": 38322, "text": " Because, say the fourth dimension is time, every dimension has time in it.", "start": 395.20000000000005, "tokens": [ 50964, 1436, 11, 584, 264, 6409, 10139, 307, 565, 11, 633, 10139, 575, 565, 294, 309, 13, 51252 ], "avg_logprob": -0.2170574093653151, "temperature": 0, "no_speech_prob": 0.0032462922390550375, "compression_ratio": 1.9038461538461537 }, { "id": 106, "end": 405.22, "seek": 38322, "text": " So that would mean that the fourth dimension is special in some way, which doesn't really", "start": 400.96000000000004, "tokens": [ 51252, 407, 300, 576, 914, 300, 264, 6409, 10139, 307, 2121, 294, 512, 636, 11, 597, 1177, 380, 534, 51465 ], "avg_logprob": -0.2170574093653151, "temperature": 0, "no_speech_prob": 0.0032462922390550375, "compression_ratio": 1.9038461538461537 }, { "id": 107, "end": 407.06, "seek": 38322, "text": " make any sense.", "start": 405.22, "tokens": [ 51465, 652, 604, 2020, 13, 51557 ], "avg_logprob": -0.2170574093653151, "temperature": 0, "no_speech_prob": 0.0032462922390550375, "compression_ratio": 1.9038461538461537 }, { "id": 108, "end": 412.36, "seek": 38322, "text": " Another reason this doesn't make sense is that we very, very, very slightly travel through time.", "start": 407.06, "tokens": [ 51557, 3996, 1778, 341, 1177, 380, 652, 2020, 307, 300, 321, 588, 11, 588, 11, 588, 4748, 3147, 807, 565, 13, 51822 ], "avg_logprob": -0.2170574093653151, 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257, 1594, 295, 28273, 645, 281, 483, 294, 257, 39185, 293, 436, 645, 281, 352, 588, 11, 588, 11, 50888 ], "avg_logprob": -0.1685115150783373, "temperature": 0, "no_speech_prob": 0.0018238353077322245, "compression_ratio": 1.8146718146718146 }, { "id": 112, "end": 430.88000000000005, "seek": 41322, "text": " very close to the speed of light, then they would, and they went around in this impossible,", "start": 423.68, "tokens": [ 50888, 588, 1998, 281, 264, 3073, 295, 1442, 11, 550, 436, 576, 11, 293, 436, 1437, 926, 294, 341, 6243, 11, 51248 ], "avg_logprob": -0.1685115150783373, "temperature": 0, "no_speech_prob": 0.0018238353077322245, "compression_ratio": 1.8146718146718146 }, { "id": 113, "end": 434.70000000000005, "seek": 41322, "text": " nearly the speed of light spaceship for a few months, and then afterwards they returned", "start": 430.88000000000005, "tokens": [ 51248, 6217, 264, 3073, 295, 1442, 39185, 337, 257, 1326, 2493, 11, 293, 550, 10543, 436, 8752, 51439 ], "avg_logprob": -0.1685115150783373, "temperature": 0, "no_speech_prob": 0.0018238353077322245, "compression_ratio": 1.8146718146718146 }, { "id": 114, "end": 435.70000000000005, "seek": 41322, "text": " to Earth.", "start": 434.70000000000005, "tokens": [ 51439, 281, 4755, 13, 51489 ], "avg_logprob": -0.1685115150783373, "temperature": 0, "no_speech_prob": 0.0018238353077322245, "compression_ratio": 1.8146718146718146 }, { "id": 115, "end": 439.74, "seek": 41322, "text": " They would find that Earth had actually progressed a few years, so they had moved forward in", "start": 435.70000000000005, "tokens": [ 51489, 814, 576, 915, 300, 4755, 632, 767, 36789, 257, 1326, 924, 11, 370, 436, 632, 4259, 2128, 294, 51691 ], "avg_logprob": -0.1685115150783373, "temperature": 0, "no_speech_prob": 0.0018238353077322245, "compression_ratio": 1.8146718146718146 }, { "id": 116, "end": 441.78000000000003, "seek": 41322, "text": " time by moving that quickly.", "start": 439.74, "tokens": [ 51691, 565, 538, 2684, 300, 2661, 13, 51793 ], "avg_logprob": -0.1685115150783373, "temperature": 0, "no_speech_prob": 0.0018238353077322245, "compression_ratio": 1.8146718146718146 }, { "id": 117, "end": 448.26000000000005, "seek": 44322, "text": " Another interesting concept involving the fourth dimension is that many physicists and", "start": 443.22, "tokens": [ 50365, 3996, 1880, 3410, 17030, 264, 6409, 10139, 307, 300, 867, 48716, 293, 50617 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 118, "end": 454.56, "seek": 44322, "text": " even mathematicians may say that the dimensions are very, very slightly curved.", "start": 448.26000000000005, "tokens": [ 50617, 754, 32811, 2567, 815, 584, 300, 264, 12819, 366, 588, 11, 588, 4748, 24991, 13, 50932 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 119, "end": 459.36, "seek": 44322, "text": " Because if you really think about it, nothing can be truly, absolutely infinite.", "start": 454.56, "tokens": [ 50932, 1436, 498, 291, 534, 519, 466, 309, 11, 1825, 393, 312, 4908, 11, 3122, 13785, 13, 51172 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 120, "end": 466.06, "seek": 44322, "text": " So imagine that the first dimension, the line, is just very, very slightly curved so that", "start": 459.36, "tokens": [ 51172, 407, 3811, 300, 264, 700, 10139, 11, 264, 1622, 11, 307, 445, 588, 11, 588, 4748, 24991, 370, 300, 51507 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 121, "end": 471.3, "seek": 44322, "text": " after a very long time it will end up creating a circle.", "start": 466.06, "tokens": [ 51507, 934, 257, 588, 938, 565, 309, 486, 917, 493, 4084, 257, 6329, 13, 51769 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 122, "end": 472.38000000000005, "seek": 44322, "text": " So, um, okay.", "start": 471.3, "tokens": [ 51769, 407, 11, 1105, 11, 1392, 13, 51823 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 123, "end": 472.58000000000004, "seek": 44322, "text": " Okay.", "start": 472.38000000000005, "tokens": [ 51823, 1033, 13, 51833 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 124, "end": 472.70000000000005, "seek": 44322, "text": " Okay.", "start": 472.58000000000004, "tokens": [ 51833, 1033, 13, 51839 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 125, "end": 472.76000000000005, "seek": 44322, "text": " Okay.", "start": 472.70000000000005, "tokens": [ 51839, 1033, 13, 51842 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 126, "end": 472.82000000000005, "seek": 44322, "text": " Okay.", "start": 472.76000000000005, "tokens": [ 51842, 1033, 13, 51845 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 127, "end": 472.92, "seek": 44322, "text": " Okay.", "start": 472.82000000000005, "tokens": [ 51845, 1033, 13, 51850 ], "avg_logprob": -0.3050214620736929, "temperature": 0, "no_speech_prob": 0.0023222179152071476, "compression_ratio": 1.9012345679012346 }, { "id": 128, "end": 473.02000000000004, "seek": 44322, "text": " Okay.", "start": 472.92, "tokens": [ 51850, 1033, 13, 51855 ], 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As suggested by many physicists, if you keep going in the same direction, then you will", "start": 473.22, "tokens": [ 50365, 1018, 10945, 538, 867, 48716, 11, 498, 291, 1066, 516, 294, 264, 912, 3513, 11, 550, 291, 486, 50582 ], "avg_logprob": -0.20937669075141518, "temperature": 0.8, "no_speech_prob": 0.0005189944058656693, "compression_ratio": 1.8807692307692307 }, { "id": 133, "end": 483.48, "seek": 47322, "text": " end up where you are, where you started after a very, very long amount of time obviously.", "start": 477.56, "tokens": [ 50582, 917, 493, 689, 291, 366, 11, 689, 291, 1409, 934, 257, 588, 11, 588, 938, 2372, 295, 565, 2745, 13, 50878 ], "avg_logprob": -0.20937669075141518, "temperature": 0.8, "no_speech_prob": 0.0005189944058656693, "compression_ratio": 1.8807692307692307 }, { "id": 134, "end": 486.46000000000004, "seek": 47322, "text": " And the same thing would happen to the second dimension.", "start": 484.24, "tokens": [ 50916, 400, 264, 912, 551, 576, 1051, 281, 264, 1150, 10139, 13, 51027 ], "avg_logprob": -0.20937669075141518, "temperature": 0.8, "no_speech_prob": 0.0005189944058656693, "compression_ratio": 1.8807692307692307 }, { "id": 135, "end": 492.40000000000003, "seek": 47322, "text": " If it's just a square and then you extend it very, very slightly in a curve, then it", "start": 486.62, "tokens": [ 51035, 759, 309, 311, 445, 257, 3732, 293, 550, 291, 10101, 309, 588, 11, 588, 4748, 294, 257, 7605, 11, 550, 309, 51324 ], "avg_logprob": -0.20937669075141518, "temperature": 0.8, "no_speech_prob": 0.0005189944058656693, "compression_ratio": 1.8807692307692307 }, { "id": 136, "end": 497.06, "seek": 47322, "text": " will eventually make a sphere and the same thing happens in our dimension except it will", "start": 492.40000000000003, "tokens": [ 51324, 486, 4728, 652, 257, 16687, 293, 264, 912, 551, 2314, 294, 527, 10139, 3993, 309, 486, 51557 ], "avg_logprob": -0.20937669075141518, "temperature": 0.8, "no_speech_prob": 0.0005189944058656693, "compression_ratio": 1.8807692307692307 }, { "id": 137, "end": 503.18, "seek": 47322, "text": " form a very, very slightly curved, um, third dimension which will form a sphere.", "start": 497.06, "tokens": [ 51557, 1254, 257, 588, 11, 588, 4748, 24991, 11, 1105, 11, 2636, 10139, 597, 486, 1254, 257, 16687, 13, 51863 ], "avg_logprob": -0.20937669075141518, "temperature": 0.8, "no_speech_prob": 0.0005189944058656693, "compression_ratio": 1.8807692307692307 }, { "id": 138, "end": 506.90000000000003, "seek": 50318, "text": " a four-dimensional universe, basically.", "start": 503.18, "tokens": [ 50365, 257, 1451, 12, 18759, 6445, 11, 1936, 13, 50551 ], "avg_logprob": -0.1349292786653377, "temperature": 0, "no_speech_prob": 0.037854064255952835, "compression_ratio": 2.174468085106383 }, { "id": 139, "end": 512.42, "seek": 50318, "text": " So what this kind of means is that our three-dimensional world is within a four-dimensional world,", "start": 506.90000000000003, "tokens": [ 50551, 407, 437, 341, 733, 295, 1355, 307, 300, 527, 1045, 12, 18759, 1002, 307, 1951, 257, 1451, 12, 18759, 1002, 11, 50827 ], "avg_logprob": -0.1349292786653377, "temperature": 0, "no_speech_prob": 0.037854064255952835, "compression_ratio": 2.174468085106383 }, { "id": 140, "end": 517, "seek": 50318, "text": " and a four-dimensional world is within a fifth-dimensional world, and so on.", "start": 512.42, "tokens": [ 50827, 293, 257, 1451, 12, 18759, 1002, 307, 1951, 257, 9266, 12, 18759, 1002, 11, 293, 370, 322, 13, 51056 ], "avg_logprob": -0.1349292786653377, "temperature": 0, "no_speech_prob": 0.037854064255952835, "compression_ratio": 2.174468085106383 }, { "id": 141, "end": 522.34, "seek": 50318, "text": " Now I did say that nothing can be truly infinite, but if this is true, and a dimension is really", "start": 517, "tokens": [ 51056, 823, 286, 630, 584, 300, 1825, 393, 312, 4908, 13785, 11, 457, 498, 341, 307, 2074, 11, 293, 257, 10139, 307, 534, 51323 ], "avg_logprob": -0.1349292786653377, "temperature": 0, "no_speech_prob": 0.037854064255952835, "compression_ratio": 2.174468085106383 }, { "id": 142, "end": 526.74, "seek": 50318, "text": " within another dimension within another dimension within another dimension, then I'm implying", "start": 522.34, "tokens": [ 51323, 1951, 1071, 10139, 1951, 1071, 10139, 1951, 1071, 10139, 11, 550, 286, 478, 704, 7310, 51543 ], "avg_logprob": -0.1349292786653377, "temperature": 0, "no_speech_prob": 0.037854064255952835, "compression_ratio": 2.174468085106383 }, { "id": 143, "end": 530.82, "seek": 50318, "text": " that there's an infinite amount of dimensions, which is the only problem I really have with", "start": 526.74, "tokens": [ 51543, 300, 456, 311, 364, 13785, 2372, 295, 12819, 11, 597, 307, 264, 787, 1154, 286, 534, 362, 365, 51747 ], "avg_logprob": -0.1349292786653377, "temperature": 0, "no_speech_prob": 0.037854064255952835, "compression_ratio": 2.174468085106383 }, { "id": 144, "end": 531.82, "seek": 50318, "text": " this theory.", "start": 530.82, "tokens": [ 51747, 341, 5261, 13, 51797 ], "avg_logprob": -0.1349292786653377, "temperature": 0, "no_speech_prob": 0.037854064255952835, "compression_ratio": 2.174468085106383 }, { "id": 145, "end": 537.58, "seek": 53182, "text": " I'm not sure if it ever stops, or if infinite- infinity is really even possible.", "start": 531.82, "tokens": [ 50365, 286, 478, 406, 988, 498, 309, 1562, 10094, 11, 420, 498, 13785, 12, 13202, 307, 534, 754, 1944, 13, 50653 ], "avg_logprob": -0.1661393472126552, "temperature": 0, "no_speech_prob": 0.0005440125823952258, "compression_ratio": 1.3557046979865772 }, { "id": 146, "end": 539.46, "seek": 53182, "text": " We don't know that.", "start": 537.58, "tokens": [ 50653, 492, 500, 380, 458, 300, 13, 50747 ], "avg_logprob": -0.1661393472126552, "temperature": 0, "no_speech_prob": 0.0005440125823952258, "compression_ratio": 1.3557046979865772 }, { "id": 147, "end": 542.6800000000001, "seek": 53182, "text": " Thanks for watching my video, and I hope this gave you a better idea of what the fourth", "start": 539.46, "tokens": [ 50747, 2561, 337, 1976, 452, 960, 11, 293, 286, 1454, 341, 2729, 291, 257, 1101, 1558, 295, 437, 264, 6409, 50908 ], "avg_logprob": -0.1661393472126552, "temperature": 0, "no_speech_prob": 0.0005440125823952258, "compression_ratio": 1.3557046979865772 }, { "id": 148, "end": 543.5, "seek": 53182, "text": " dimension is.", "start": 542.6800000000001, "tokens": [ 50908, 10139, 307, 13, 50949 ], "avg_logprob": -0.1661393472126552, "temperature": 0, "no_speech_prob": 0.0005440125823952258, "compression_ratio": 1.3557046979865772 } ]

Imagine that this folder is a dimensional plane. Now, assuming that it has no height and no depth, what would this mean? It would mean that it's a one-dimensional world. So if, hypothetically, an organism was living inside of it, it would only be able to move in a linear path forward and backwards, in a straight line. Now, if we go to the second dimension, we have two dimensions. We have width and we have length. So hypothetically, if an organism lived inside of here, then it would be able to move up, down, left, right, and anywhere else in between. And a two-dimensional world is comprised of an infinite series of one-dimensional worlds stacked upon each other. Just as our three-dimensional world, which has depth and length and height, is comprised of an infinite series of two-dimensional worlds. So now that I have stacked many folders upon each other, we have three dimensions. We have depth, we have length, and we have width. Now, what happens if you keep going on from here on out? We would have a four-dimensional world, but what exactly is a fourth dimension? In order to understand this, we need to understand how dimensions are perceived. We live in the three-dimensional world, but despite that, we actually view things to be two-dimensionally. Take a perfect sphere, for example. If you're looking at a sphere, it looks just like a regular two-dimensional circle. The only way that you can tell, it's an actual sphere instead of a circle, is because of the hues of light down. So just like in a two-dimensional world, if an organism in the two-dimensional world was looking upon a circle, the light would make it appear to be lighter at one end and darker at the middle. Also, if an object is moving farther, closer and farther away from you, you don't actually perceive that it's getting closer and farther away. You see that it's getting smaller or larger. And then you assume that it's getting either farther away or closer. But let's say that an object was to grow in perfect equilibrium, so that it was growing at the same speed that it was shrinking as you move it farther away. Then you would not be able to tell without any lights or if there were details on the object that it's moving or growing at all. You may have assumed that since we perceive things to be in two dimensions, that a two-dimensional organism would see in one dimension. So, what do you think? Well, as we're watching this rubber band expand as it moves farther away from this little organism in the two-dimensional world, it does not actually perceive anything is happening to it because it's growing at the same speed that it's moving farther away. But since we can actually see it from the three-dimensional world and perceive things to be in two dimensions, we can see things for how they actually are. The reason that the two-dimensional organism doesn't see things the way they really are, is because the two-dimensional organism sees things in one dimension, just how we, three-dimensional creatures, see things in two dimensions. So in a way, we don't really see our world the way it truly is. A four-dimensional creature, however, seeing our three-dimensional world in three dimensions would be able to see through things. It would be able to see absolutely everything. Just as we could see if there was several organisms spread along a 2D environment on your floor. Just as we could see inside houses, it would be able to see inside of people. So if a two-dimensional world, a flat surface, is just made of an infinite amount of lines, then the 3D world is just made out of an infinite amount of planes. So the 4D world, logically, is made out of an infinite amount of 3D objects. Though they're not just put together like building blocks. That's not how the 4D world is. That would just be 3D again. So, if you're looking at a 3D object, you're looking at a 3D object. So, in order to understand this, you need to understand the logical progression of mathematics in our world. Imagine that this K'nex piece represents the first dimension. It's simply a straight line, which is basically what the first dimension looks like. And if you add three more of these straight lines and connect them so that adjacent sides are perpendicular and opposite sides are parallel, then you have the basic shape of the second dimension. You have a square. Now, if you keep going from here, and you add four, add it so that there's a total of four squares, and all adjacent sides are perpendicular, and all opposite sides are parallel, then you end up with, obviously, a cube. So if you tried to keep going from here, and you would have a four-dimensional basic shape, you would have a, what's called a tesseract. So, if you keep going from here, and you would have a four-dimensional basic shape, you would have a, what's called a tesseract. Now, I cannot show you a tesseract, but you need to understand that it's basically four cubes that are within each other that have all adjacent sides perpendicular and all opposite sides parallel. Yet there are three lines, four lines, connecting to each vertex. So a tesseract would look somewhat like this picture. Now, that's not exactly what it looks like. Now, that's not exactly what it looks like. Now, that's not exactly what it looks like. It's just a two-dimensional depiction, and obviously, not all of the lines are straight. So I cannot show you what a tesseract actually looks like, because we cannot perceive things in the third dimension. You cannot even imagine what a tesseract looks like. You cannot physically, you cannot in your mind picture the fourth dimension or a fourth-dimensional shape. And you can keep going on from the fourth dimension even. You can go to the fifth dimension, the sixth dimension, the 71st dimension. It doesn't matter. The fourth dimension is the fourth dimension. And theoretically, there are an infinite amount of spatial dimensions. A common misconception of the fourth dimension is that the fourth dimension is time. Now, while some argue that by going forward and backwards in time, if you move forward the same distance and backwards the same, then you would end up in the same place you started, just like in the fourth dimension. And while that may seem logical, if you think about it, it really doesn't make sense. If you imply that the fourth dimension is actually time. Well, time is not spatial. There's a difference between space and time, quite obviously. And assuming that all dimensions are according to a pattern, then that doesn't really make sense either. Because, say the fourth dimension is time, every dimension has time in it. So that would mean that the fourth dimension is special in some way, which doesn't really make any sense. Another reason this doesn't make sense is that we very, very, very slightly travel through time. We travel through time. Whenever we move, due to the distance that light takes to get to our body. If a group of astronauts were to get in a spaceship and they were to go very, very, very close to the speed of light, then they would, and they went around in this impossible, nearly the speed of light spaceship for a few months, and then afterwards they returned to Earth. They would find that Earth had actually progressed a few years, so they had moved forward in time by moving that quickly. Another interesting concept involving the fourth dimension is that many physicists and even mathematicians may say that the dimensions are very, very slightly curved. Because if you really think about it, nothing can be truly, absolutely infinite. So imagine that the first dimension, the line, is just very, very slightly curved so that after a very long time it will end up creating a circle. So, um, okay. Okay. Okay. Okay. Okay. Okay. Okay. Okay. Okay. Okay. As suggested by many physicists, if you keep going in the same direction, then you will end up where you are, where you started after a very, very long amount of time obviously. And the same thing would happen to the second dimension. If it's just a square and then you extend it very, very slightly in a curve, then it will eventually make a sphere and the same thing happens in our dimension except it will form a very, very slightly curved, um, third dimension which will form a sphere. a four-dimensional universe, basically. So what this kind of means is that our three-dimensional world is within a four-dimensional world, and a four-dimensional world is within a fifth-dimensional world, and so on. Now I did say that nothing can be truly infinite, but if this is true, and a dimension is really within another dimension within another dimension within another dimension, then I'm implying that there's an infinite amount of dimensions, which is the only problem I really have with this theory. I'm not sure if it ever stops, or if infinite- infinity is really even possible. We don't know that. Thanks for watching my video, and I hope this gave you a better idea of what the fourth dimension is.

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