0:00:07.255,0:00:10.812 The Heisenberg Uncertainty Principle[br]is one of a handful of ideas 0:00:10.812,0:00:14.686 from quantum physics to [br]expand into general pop culture. 0:00:14.686,0:00:18.112 It says that you can never simultaneously[br]know the exact position 0:00:18.112,0:00:22.893 and the exact speed of an object[br]and shows up as a metaphor in everything 0:00:22.893,0:00:26.409 from literary criticism[br]to sports commentary. 0:00:26.409,0:00:29.429 Uncertainty is often explained as a result[br]of measurement, 0:00:29.429,0:00:34.561 that the act of measuring an object's[br]position changes its speed, or vice versa. 0:00:34.561,0:00:38.378 The real origin is much deeper[br]and more amazing. 0:00:38.378,0:00:41.759 The Uncertainty Principle exists[br]because everything in the universe 0:00:41.759,0:00:46.318 behaves like both a particle and a wave[br]at the same time. 0:00:46.318,0:00:50.458 In quantum mechanics, the exact position[br]and exact speed of an object 0:00:50.458,0:00:51.896 have no meaning. 0:00:51.896,0:00:53.147 To understand this, 0:00:53.147,0:00:57.053 we need to think about what it means[br]to behave like a particle or a wave. 0:00:57.053,0:01:01.857 Particles, by definition, exist in [br]a single place at any instant in time. 0:01:01.857,0:01:05.286 We can represent this by a graph[br]showing the probability of finding 0:01:05.286,0:01:09.030 the object at a particular place,[br]which looks like a spike, 0:01:09.030,0:01:13.707 100% at one specific position,[br]and zero everywhere else. 0:01:13.707,0:01:17.621 Waves, on the other hand,[br]are disturbances spread out in space, 0:01:17.621,0:01:20.338 like ripples covering [br]the surface of a pond. 0:01:20.338,0:01:23.767 We can clearly identify features[br]of the wave pattern as a whole, 0:01:23.767,0:01:25.933 most importantly, its wavelength, 0:01:25.933,0:01:28.640 which is the distance between two [br]neighboring peaks, 0:01:28.640,0:01:30.459 or two neighboring valleys. 0:01:30.459,0:01:33.017 But we can't assign it a single position. 0:01:33.017,0:01:36.282 It has a good probability of [br]being in lots of different places. 0:01:36.282,0:01:39.099 Wavelength is essential for[br]quantum physics 0:01:39.099,0:01:42.419 because an object's wavelength[br]is related to its momentum, 0:01:42.419,0:01:44.024 mass times velocity. 0:01:44.024,0:01:46.909 A fast-moving object has lots of momentum, 0:01:46.909,0:01:50.019 which corresponds to [br]a very short wavelength. 0:01:50.019,0:01:54.559 A heavy object has lots of momentum[br]even if it's not moving very fast, 0:01:54.559,0:01:57.156 which again means a very short wavelength. 0:01:57.156,0:02:00.927 This is why we don't notice[br]the wave nature of everyday objects. 0:02:00.927,0:02:02.644 If you toss a baseball up in the air, 0:02:02.644,0:02:07.029 its wavelength is a billionth of a [br]trillionth of a trillionth of a meter, 0:02:07.029,0:02:09.364 far too tiny to ever detect. 0:02:09.364,0:02:12.324 Small things, [br]like atoms or electrons though, 0:02:12.324,0:02:16.142 can have wavelengths big enough[br]to measure in physics experiments. 0:02:16.142,0:02:19.475 So, if we have a pure wave, [br]we can measure its wavelength, 0:02:19.475,0:02:23.101 and thus its momentum,[br]but it has no position. 0:02:23.101,0:02:25.248 We can know a particles position[br]very well, 0:02:25.248,0:02:28.489 but it doesn't have a wavelength,[br]so we don't know its momentum. 0:02:28.489,0:02:31.600 To get a particle with both position[br]and momentum, 0:02:31.600,0:02:33.760 we need to mix the two pictures 0:02:33.760,0:02:37.163 to make a graph that has waves,[br]but only in a small area. 0:02:37.163,0:02:38.800 How can we do this?[br] 0:02:38.800,0:02:41.554 By combining waves [br]with different wavelengths, 0:02:41.554,0:02:46.528 which means giving our quantum object some[br]possibility of having different momenta. 0:02:46.528,0:02:49.282 When we add two waves, [br]we find that there are places 0:02:49.282,0:02:52.055 where the peaks line up,[br]making a bigger wave, 0:02:52.055,0:02:55.821 and other places where the peaks of one[br]fill in the valleys of the other. 0:02:55.821,0:02:58.279 The result has regions where[br]we see waves 0:02:58.279,0:03:01.106 separated by regions of nothing at all. 0:03:01.106,0:03:02.590 If we add a third wave, 0:03:02.590,0:03:05.709 the regions where the waves cancel out[br]get bigger, 0:03:05.709,0:03:09.891 a fourth and they get bigger still,[br]with the wavier regions becoming narrower. 0:03:09.891,0:03:13.089 If we keep adding waves,[br]we can make a wave packet 0:03:13.089,0:03:16.168 with a clear wavelength[br]in one small region. 0:03:16.168,0:03:20.224 That's a quantum object with both[br]wave and particle nature, 0:03:20.224,0:03:23.311 but to accomplish this,[br]we had to lose certainty 0:03:23.311,0:03:25.805 about both position and momentum. 0:03:25.805,0:03:28.223 The positions isn't restricted [br]to a single point. 0:03:28.223,0:03:30.918 There's a good probability[br]of finding it within some range 0:03:30.918,0:03:32.837 of the center of the wave packet, 0:03:32.837,0:03:35.586 and we made the wave packet[br]by adding lots of waves, 0:03:35.586,0:03:38.012 which means there's [br]some probability of finding it 0:03:38.012,0:03:41.291 with the momentum corresponding[br]to any one of those. 0:03:41.291,0:03:44.740 Both position and momentum[br]are now uncertain, 0:03:44.740,0:03:46.816 and the uncertainties are connected. 0:03:46.816,0:03:49.209 If you want to reduce [br]the position uncertainty 0:03:49.209,0:03:52.628 by making a smaller wave packet,[br]you need to add more waves, 0:03:52.628,0:03:54.865 which means a bigger momentum uncertainty. 0:03:54.865,0:03:58.047 If you want to know the momentum better,[br]you need a bigger wave packet, 0:03:58.047,0:04:01.012 which means a bigger position uncertainty. 0:04:01.012,0:04:03.221 That's the Heisenberg Uncertainty Principle, 0:04:03.221,0:04:08.207 first stated by German physicist[br]Werner Heisenberg back in 1927. 0:04:08.207,0:04:12.589 This uncertainty isn't a matter[br]of measuring well or badly, 0:04:12.589,0:04:17.107 but an inevitable result[br]of combining particle and wave nature. 0:04:17.107,0:04:20.663 The Uncertainty Principle isn't just [br]a practical limit on measurment. 0:04:20.663,0:04:23.733 It's a limit on what properties [br]an object can have, 0:04:23.733,0:04:28.157 built into the fundamental structure[br]of the universe itself.