1 00:00:06,800 --> 00:00:09,480 My name is David Malone. 2 00:00:10,960 --> 00:00:14,480 This is Tynemouth, where I was born. 3 00:00:18,120 --> 00:00:21,560 And the place where my parents came back to when they retired. 4 00:00:23,400 --> 00:00:26,080 What I really remember is standing down there. 5 00:00:26,080 --> 00:00:28,160 Where the guns...? 6 00:00:28,160 --> 00:00:32,200 No, where the gate is, and watching the waves go by. Oh, right. 7 00:00:32,200 --> 00:00:34,480 I used to take you there. Did you? 8 00:00:42,400 --> 00:00:45,840 I used to go down to this particular sea wall when I was a little lad. 9 00:00:45,840 --> 00:00:49,000 The angle of the wall to the curl of the wave meant that 10 00:00:49,000 --> 00:00:53,280 it always trap air inside the wave, compressing the air, 11 00:00:53,280 --> 00:00:56,560 which would then escape and make this wonderful roaring sound 12 00:00:56,560 --> 00:01:00,040 as the wave came down the length of the wall towards you. 13 00:01:07,120 --> 00:01:09,520 I make science documentaries 14 00:01:09,520 --> 00:01:12,280 and I believe a deeper understanding of waves 15 00:01:12,280 --> 00:01:16,360 can explain our endless fascination with them. 16 00:01:16,360 --> 00:01:20,040 When we started out, this film was supposed to be 17 00:01:20,040 --> 00:01:22,320 about the science of ocean waves. 18 00:01:22,320 --> 00:01:27,600 But it can't be about just that, because waves also give us a window 19 00:01:27,600 --> 00:01:30,160 into how the world actually works, 20 00:01:30,160 --> 00:01:32,240 into the nature of reality. 21 00:01:34,080 --> 00:01:36,440 Because waves have a life cycle, 22 00:01:36,440 --> 00:01:40,160 so they're quite unlike the things that we think of as objects, 23 00:01:40,160 --> 00:01:42,000 like pebbles or cliffs. 24 00:01:42,000 --> 00:01:43,920 They have a birth and a death. 25 00:01:43,920 --> 00:01:47,400 They're a process, and that makes them much more like us. 26 00:01:53,080 --> 00:01:56,680 There's a view that science is merely about totting up numbers 27 00:01:56,680 --> 00:01:58,920 to make them come out right, 28 00:01:58,920 --> 00:02:03,320 while how we make sense of the world should be left to the poets. 29 00:02:08,560 --> 00:02:10,240 I don't think that's right. 30 00:02:10,240 --> 00:02:13,640 Waves in particular is one of those subjects 31 00:02:13,640 --> 00:02:17,200 where the science itself is full of meaning. 32 00:02:43,680 --> 00:02:46,640 Why are waves so fascinating to watch? 33 00:02:46,640 --> 00:02:49,360 Why is it that human beings will sit 34 00:02:49,360 --> 00:02:52,320 and be hypnotised by waves for hours? 35 00:02:52,320 --> 00:02:55,000 We don't normally sit and watch chairs and tables. 36 00:02:55,000 --> 00:03:00,160 All my life I've gazed at the sea breaking on the shore 37 00:03:00,160 --> 00:03:03,000 and wondered what makes each wave different 38 00:03:03,000 --> 00:03:06,400 and why they crash so relentlessly. 39 00:03:07,280 --> 00:03:10,520 I was surprised to discover that the scientific study of waves 40 00:03:10,520 --> 00:03:13,240 began only relatively recently, 41 00:03:13,240 --> 00:03:15,560 and it wasn't idle wave-watching. 42 00:03:15,560 --> 00:03:18,640 It was truly a matter of life and death. 43 00:03:25,200 --> 00:03:26,480 Autumn 1942. 44 00:03:26,480 --> 00:03:30,720 During the Second World War, the first major amphibious landings 45 00:03:30,720 --> 00:03:34,320 were planned to attack German forces in North Africa. 46 00:03:37,080 --> 00:03:40,560 The Allies knew that the landing craft carrying troops ashore 47 00:03:40,560 --> 00:03:42,920 could capsize in waves over six feet high. 48 00:03:49,240 --> 00:03:52,960 It was essential, therefore, to predict the height of the waves. 49 00:03:55,040 --> 00:03:58,480 Scientists found they could calculate wave heights accurately 50 00:03:58,480 --> 00:04:01,200 by measuring the duration and strength of the wind. 51 00:04:06,320 --> 00:04:08,720 The ability to predict waves 52 00:04:08,720 --> 00:04:11,360 led to the success of the landings in North Africa... 53 00:04:13,720 --> 00:04:16,840 ..and later on, D-day in France. 54 00:04:27,120 --> 00:04:30,880 To understand these wartime discoveries about waves, 55 00:04:30,880 --> 00:04:34,720 'it's easier to start not at sea, but at Flatford Mill in Suffolk, 56 00:04:34,720 --> 00:04:37,320 'made famous in the painting by Constable.' 57 00:04:37,320 --> 00:04:43,120 Well, we've got a virgin canvas here, ready for waves to start. 58 00:04:45,240 --> 00:04:48,880 'Gavin Pretor-Pinney is an author who studies waves.' 59 00:04:48,880 --> 00:04:52,320 The whole idea of the birth of a wave is a rather intriguing notion. 60 00:04:52,320 --> 00:04:55,560 It's got to start somewhere. I hadn't thought about it before. 61 00:04:55,560 --> 00:04:59,360 I suppose what I'm interested in is how does a wave get born? 62 00:04:59,360 --> 00:05:02,240 It does seem a bit like getting something from nothing. 63 00:05:02,240 --> 00:05:03,920 Cos there you've just got water, 64 00:05:03,920 --> 00:05:06,280 and somehow you've got to get a wave out of it. 65 00:05:06,280 --> 00:05:09,920 Well, now the air is quite still. 66 00:05:09,920 --> 00:05:14,040 But in the case of winds out at sea, 67 00:05:14,040 --> 00:05:16,520 there is the wind. 68 00:05:16,520 --> 00:05:18,320 That is the crucial factor. 69 00:05:18,320 --> 00:05:20,800 That's where the energy comes from. 70 00:05:20,800 --> 00:05:22,640 How? Well, I'll show you. 71 00:05:22,640 --> 00:05:25,760 I'll get down and I'll be the wind. 72 00:05:25,760 --> 00:05:27,280 OK. 73 00:05:27,280 --> 00:05:30,320 On this little flat bit here... 74 00:05:43,720 --> 00:05:47,200 Right. It really very easily happens. 75 00:05:47,200 --> 00:05:49,320 It doesn't require a lot, does it? 76 00:05:55,200 --> 00:06:02,920 And these tiny little ripples that I produce by blowing over the surface, 77 00:06:02,920 --> 00:06:07,440 they're known as capillary waves, these tiny embryonic waves. 78 00:06:07,440 --> 00:06:11,520 The critical factor is the surface tension of the water. 79 00:06:11,520 --> 00:06:16,040 When the water is distorted into a slight crest, 80 00:06:16,040 --> 00:06:21,560 the elastic nature of the surface wants to flatten it down. 81 00:06:21,560 --> 00:06:26,440 In terms of it being a wave that propagates over the surface, 82 00:06:26,440 --> 00:06:29,160 this returning, this restoring force, is critical. 83 00:06:29,160 --> 00:06:31,040 Is that what helps to push it away? 84 00:06:31,040 --> 00:06:33,080 It helps to make the wave move because, 85 00:06:33,080 --> 00:06:36,120 where it's lifted up, the restoring force brings it down, 86 00:06:36,120 --> 00:06:38,880 and then it overshoots... Pushing the wave that way. 87 00:06:38,880 --> 00:06:42,240 It continues down below and as the parts of the water go like this, 88 00:06:42,240 --> 00:06:45,440 the actual shape of the wave progresses across the surface. 89 00:06:48,960 --> 00:06:51,440 In the mill pond, as the wind creates a wave, 90 00:06:51,440 --> 00:06:54,280 the surface tension tries to flatten the water. 91 00:06:56,320 --> 00:06:59,520 The result is a regular undulation in the surface. 92 00:07:06,640 --> 00:07:09,360 Naturally, the forces that create waves out at sea 93 00:07:09,360 --> 00:07:11,120 are very much greater. 94 00:07:13,760 --> 00:07:17,400 The sun provides the earth with energy in the form of heat. 95 00:07:17,400 --> 00:07:21,040 This warms the atmosphere and creates the wind. 96 00:07:21,040 --> 00:07:25,760 It is the energy of the wind that in turn creates the waves. 97 00:07:29,440 --> 00:07:34,360 Energy is the invisible force that drives the universe. 98 00:07:34,360 --> 00:07:36,040 Energy can never be destroyed. 99 00:07:36,040 --> 00:07:38,680 It can only change from one form to another. 100 00:07:42,320 --> 00:07:46,960 Even after the wind dies away, the energy lives on in the waves. 101 00:07:52,000 --> 00:07:55,920 These ocean waves are far larger than capillary waves, 102 00:07:55,920 --> 00:07:59,160 and forces other than surface tension take over, 103 00:07:59,160 --> 00:08:00,840 pushing the water down. 104 00:08:03,800 --> 00:08:06,000 Better get out the way. Yeah. 105 00:08:08,560 --> 00:08:13,040 'We can see this if we increase the wind at the mill pond.' 106 00:08:13,040 --> 00:08:15,240 Right, let's turn it round here. 107 00:08:20,120 --> 00:08:24,360 That's good. Shall we start her up? 108 00:08:24,360 --> 00:08:25,880 We shall. 109 00:08:37,480 --> 00:08:41,800 LOUD WHIRRING 110 00:08:54,240 --> 00:08:56,720 WHIRRING STOPS 111 00:08:56,720 --> 00:08:58,880 So that, you could see... 112 00:08:58,880 --> 00:09:00,680 God, I can hardly hear now! 113 00:09:00,680 --> 00:09:06,280 You can see that they soon develop into larger than these 114 00:09:06,280 --> 00:09:07,720 2cm-high capillary waves. 115 00:09:07,720 --> 00:09:09,760 And they're continuing much more. 116 00:09:09,760 --> 00:09:13,200 Can you see the bunch of them coming back? 117 00:09:13,200 --> 00:09:16,920 Capillary waves themselves, when they're tiny, they don't go very far, 118 00:09:16,920 --> 00:09:20,080 but once they get larger than a couple of centimetres, 119 00:09:20,080 --> 00:09:21,760 they're known as gravity waves. 120 00:09:21,760 --> 00:09:24,760 Why are they called gravity waves? Why the change of name? 121 00:09:24,760 --> 00:09:28,720 There are two forces that try to return the water to the level. 122 00:09:28,720 --> 00:09:32,120 One is the surface tension that we were talking about 123 00:09:32,120 --> 00:09:35,640 with the capillary waves. The other is the force of gravity. 124 00:09:35,640 --> 00:09:38,760 When the waves are greater than a couple of centimetres, 125 00:09:38,760 --> 00:09:40,680 that becomes the dominant force. 126 00:09:42,200 --> 00:09:47,160 With these larger waves, gravity works just like surface tension. 127 00:09:47,160 --> 00:09:53,080 It pushes the wave down, overshoots, and the wave is propelled forward. 128 00:09:53,080 --> 00:09:55,800 That's beautiful! Look at that! That is beautiful. 129 00:09:55,800 --> 00:09:58,240 A very graceful movement, isn't it? 130 00:09:58,240 --> 00:09:59,800 It is lovely. 131 00:10:06,280 --> 00:10:08,560 The thing I was quite sceptical about... 132 00:10:08,560 --> 00:10:12,360 I mean, I knew it intellectually, but there's something about someone 133 00:10:12,360 --> 00:10:15,320 getting down on their knees and blowing onto the surface 134 00:10:15,320 --> 00:10:17,240 of the water making a few ripples, 135 00:10:17,240 --> 00:10:20,320 and then saying, "And that's how you start a Pacific wave." 136 00:10:21,840 --> 00:10:26,640 It doesn't quite grab you that some 40ft monster that 137 00:10:26,640 --> 00:10:31,720 can throw a boat about starts off life as little teeny ripples. 138 00:10:31,720 --> 00:10:34,440 And yet, as soon as you brought the wind machine out, 139 00:10:34,440 --> 00:10:36,840 you could see that that's exactly what it was. 140 00:10:45,720 --> 00:10:49,240 The thing for me about being on the sea is it reminds me 141 00:10:49,240 --> 00:10:53,400 how different an environment the sea is to the land. 142 00:10:53,400 --> 00:10:55,240 Most of us live in cities 143 00:10:55,240 --> 00:10:59,520 where we're cut off from the nature of power and energy. 144 00:10:59,520 --> 00:11:02,360 For us, you just flick a switch and there's power. 145 00:11:02,360 --> 00:11:03,680 It flows through wires, 146 00:11:03,680 --> 00:11:06,560 lights come on, records play and your dinner heats up. 147 00:11:06,560 --> 00:11:08,880 But we're unaware of what power is. 148 00:11:10,400 --> 00:11:14,080 When energy was generated by rushing water, 149 00:11:14,080 --> 00:11:19,880 or even by steam, we had a visceral knowledge of what power was about. 150 00:11:19,880 --> 00:11:23,280 Water rushed by and cogs turned and hammers went up and down. 151 00:11:23,280 --> 00:11:24,840 Today it's all hidden from us 152 00:11:24,840 --> 00:11:29,280 and we live in such a static, calm, quiet environment. 153 00:11:29,280 --> 00:11:32,360 It's not until you come back out on the sea, you're reminded 154 00:11:32,360 --> 00:11:36,520 of the real nature of the dynamic, the powerful side of reality. 155 00:11:39,520 --> 00:11:42,080 For me, what's so exciting about waves 156 00:11:42,080 --> 00:11:45,000 is that they reveal what is normally hidden from view. 157 00:11:47,520 --> 00:11:49,560 You can actually see energy in action. 158 00:11:52,120 --> 00:11:56,840 They provide insight into the forces that rule the universe. 159 00:11:56,840 --> 00:11:58,960 One of the strangest things about waves 160 00:11:58,960 --> 00:12:00,840 is they're not really made of water. 161 00:12:00,840 --> 00:12:04,040 I know it doesn't sound right, but they're really not. 162 00:12:06,920 --> 00:12:09,720 Think about sound. Think about the words I'm saying. 163 00:12:09,720 --> 00:12:12,120 You wouldn't describe them as MADE of air. 164 00:12:12,120 --> 00:12:14,560 You'd say they're vibrations IN the air. 165 00:12:14,560 --> 00:12:16,400 And it's the same for waves. 166 00:12:19,720 --> 00:12:22,400 I've come to Cambridge University to find out more 167 00:12:22,400 --> 00:12:27,360 'about this counterintuitive idea that waves are not made of water. 168 00:12:27,360 --> 00:12:32,400 'Professor Michael McIntyre, a leading physicist and mathematician, 169 00:12:32,400 --> 00:12:34,560 'wants to prove it to me. 170 00:12:34,560 --> 00:12:39,520 'He's fascinated by the relationship between atmosphere and ocean waves.' 171 00:12:39,520 --> 00:12:42,240 What a fab lab, don't you think? 172 00:12:42,240 --> 00:12:45,280 Oh, it's a beautiful lab, and Stuart does a great job 173 00:12:45,280 --> 00:12:48,400 running a facility like this. It's a great tradition in our 174 00:12:48,400 --> 00:12:52,200 department to do experiments as well as mathematical theories. 175 00:12:52,200 --> 00:12:55,320 And I think you need both to understand how things work. 176 00:12:55,320 --> 00:12:58,120 Stuart, can you make a wave break around here? 177 00:12:58,120 --> 00:12:59,200 Certainly. 178 00:13:07,080 --> 00:13:09,480 The gentle waves out here 179 00:13:09,480 --> 00:13:13,600 aren't moving the water very much except back and forth. The ducks! 180 00:13:13,600 --> 00:13:17,200 That gives you a visualisation of how much the water is moving. 181 00:13:17,200 --> 00:13:20,920 It is moving a bit, but the main motion is an oscillation. 182 00:13:20,920 --> 00:13:23,040 The ducks are going round in circles. 183 00:13:23,040 --> 00:13:25,880 Yes, they're certainly not travelling with the wave. 184 00:13:25,880 --> 00:13:27,240 Not nearly as much. 185 00:13:27,240 --> 00:13:29,920 So most of the water, then, is just going up and down? 186 00:13:29,920 --> 00:13:32,960 Well, it's actually going in little circles or ellipses. 187 00:13:32,960 --> 00:13:35,560 Watch that duck carefully. You see? 188 00:13:35,560 --> 00:13:38,320 Oh, yes. You can feel that when you stand in the beach. 189 00:13:38,320 --> 00:13:40,560 When the wave passes, it pushes you one way 190 00:13:40,560 --> 00:13:43,520 and then drags you back the other. Is that the same thing? 191 00:13:43,520 --> 00:13:45,520 Yes. That's the oscillatory part of it. 192 00:13:48,480 --> 00:13:52,200 'Professor McIntyre's ducks show it's not the water that's moving' 193 00:13:52,200 --> 00:13:54,160 but the energy. 194 00:13:55,680 --> 00:13:58,920 The water and ducks are essentially stationary. 195 00:13:58,920 --> 00:14:02,440 They go around in a big circle, almost back to where they started 196 00:14:02,440 --> 00:14:06,680 from, while the waves of energy move onwards. 197 00:14:25,080 --> 00:14:27,280 There's a surprising parallel to waves 198 00:14:27,280 --> 00:14:29,280 in an executive toy. 199 00:14:32,840 --> 00:14:34,880 The balls in the middle hardly move, 200 00:14:34,880 --> 00:14:40,960 yet the energy passes through them and out the other side. 201 00:14:40,960 --> 00:14:44,800 The balls are the medium that transmits the energy 202 00:14:44,800 --> 00:14:47,440 just as the water does in waves. 203 00:14:50,400 --> 00:14:52,440 Hello, Dr Porter! 204 00:14:52,440 --> 00:14:56,040 'Physicist Richard Porter has studied waves for 20 years.' 205 00:14:56,040 --> 00:14:58,640 Picked a good morning for it, at least! 206 00:14:58,640 --> 00:15:02,320 This is beautiful! 'He researches them as a source of power. 207 00:15:03,840 --> 00:15:08,400 'I met him at his open-air wave tank, the sea off North Devon.' 208 00:15:08,400 --> 00:15:12,480 Waves are a form of transport of energy. 209 00:15:12,480 --> 00:15:14,440 That's the way I would describe it. 210 00:15:14,440 --> 00:15:16,480 And the water is what? Just the medium? 211 00:15:16,480 --> 00:15:18,240 The water just acts as the medium. 212 00:15:18,240 --> 00:15:20,840 In this case, it's the water that acts as the medium for 213 00:15:20,840 --> 00:15:23,480 transporting that energy in the form of this wave. 214 00:15:23,480 --> 00:15:25,600 Like sound going through the air? Exactly. 215 00:15:25,600 --> 00:15:28,960 I'm talking to you, and the acoustic wave that you're hearing 216 00:15:28,960 --> 00:15:32,720 is a wave which happens to propagate through air using particles of air. 217 00:15:32,720 --> 00:15:37,400 And out there... And out there, you just happen to have waves - 218 00:15:37,400 --> 00:15:40,680 the energy which is travelling along the surface of the water. 219 00:15:40,680 --> 00:15:44,000 So there is no net transport of water. 220 00:15:44,000 --> 00:15:46,160 Yes. When we're standing on the beach, 221 00:15:46,160 --> 00:15:49,600 you get the impression that those waves are bringing the water in, 222 00:15:49,600 --> 00:15:50,760 but that is not right. 223 00:15:50,760 --> 00:15:54,000 No, that's not right. Because they appear to be bringing it in, 224 00:15:54,000 --> 00:15:55,640 even when the tide's going out. 225 00:15:55,640 --> 00:15:58,800 That's right, and if they were bringing in water, 226 00:15:58,800 --> 00:16:01,920 then we'd all be doomed. Everything would flood. 227 00:16:01,920 --> 00:16:03,680 So that's not what happens. 228 00:16:03,680 --> 00:16:06,720 What you see is the water coming in and going back out again, 229 00:16:06,720 --> 00:16:09,920 on a cycle, with the waves coming against the shore. 230 00:16:14,120 --> 00:16:17,360 When I watch the sea, I love to listen to the sound of the waves. 231 00:16:21,800 --> 00:16:24,800 I learned from Dr Porter that very little of the energy is lost 232 00:16:24,800 --> 00:16:27,240 as a wave travels across the ocean, 233 00:16:27,240 --> 00:16:31,520 but when it breaks on the shore, the energy must go somewhere. 234 00:16:40,200 --> 00:16:42,960 Some energy is absorbed by the sand, 235 00:16:42,960 --> 00:16:47,400 some bounces back into the sea, and some turns into sound. 236 00:16:55,200 --> 00:16:58,040 You've got some water, you've got some air, 237 00:16:58,040 --> 00:16:59,200 you drop the liquid in 238 00:16:59,200 --> 00:17:01,120 and you listen to the sound here. 239 00:17:01,120 --> 00:17:03,040 Can we do that, then? Let's have a go. 240 00:17:03,040 --> 00:17:04,880 Let's see what happens. 241 00:17:08,720 --> 00:17:12,440 'Tim Leighton is the bubble man or, more formally, 242 00:17:12,440 --> 00:17:15,480 'Professor of Acoustics at Southampton University.' 243 00:17:15,480 --> 00:17:16,760 OK, here comes the drop. 244 00:17:18,520 --> 00:17:20,680 'We've all heard the drop of a leaky tap. 245 00:17:20,680 --> 00:17:25,440 'But the question is, what exactly is making the noise?' 246 00:17:25,440 --> 00:17:28,400 It hits, forms this crater - lovely crater - 247 00:17:28,400 --> 00:17:30,720 closes, pinches off the bubble... 248 00:17:30,720 --> 00:17:33,080 That tiny thing there? That little thing. 249 00:17:33,080 --> 00:17:37,160 All the ripples on the surface, which are very impressive visually, 250 00:17:37,160 --> 00:17:38,680 don't radiate the sound. 251 00:17:38,680 --> 00:17:40,280 It's that tiny little bubble. 252 00:17:44,960 --> 00:17:49,840 When magnified and slowed down, the bubble constantly moves in and out. 253 00:17:52,760 --> 00:17:56,640 It's the vibrations of the bubble, be it from a drop of water or inside 254 00:17:56,640 --> 00:18:00,840 an ocean wave, that produce the noise. 255 00:18:00,840 --> 00:18:04,280 Hidden away amongst them are pulsations, microscopic, 256 00:18:04,280 --> 00:18:09,560 and the pulsation is pushing the water in and out, in and out, 257 00:18:09,560 --> 00:18:12,040 as it expands and contracts. 258 00:18:13,440 --> 00:18:16,960 Until this moment, I'd never realised there WAS a bubble, 259 00:18:16,960 --> 00:18:20,240 let alone that its pulsing made the noise. 260 00:18:22,240 --> 00:18:24,240 When you were talking about bubbles, 261 00:18:24,240 --> 00:18:27,040 there was the temptation to think it's when they pop. 262 00:18:27,040 --> 00:18:28,720 I was thinking of balloons. No. 263 00:18:28,720 --> 00:18:31,560 It's not at all? I don't think they're kosher bubbles! 264 00:18:31,560 --> 00:18:37,480 You've got MY kind of bubbles... When you're president you're going to ban them! 265 00:18:37,480 --> 00:18:39,840 ..are pockets of gas surrounded by water. 266 00:18:39,840 --> 00:18:44,040 Now, the other kind of bubble - a soap bubble for example - has gas 267 00:18:44,040 --> 00:18:49,280 and then a thin wall of liquid and then gas outside. Right. 268 00:18:49,280 --> 00:18:53,040 But it doesn't have that huge mass of liquid around it, 269 00:18:53,040 --> 00:18:55,760 providing the inertia, so it won't act 270 00:18:55,760 --> 00:18:58,360 like a really powerful sound source like this. 271 00:19:01,200 --> 00:19:04,320 The sound a bubble makes depends on its size. 272 00:19:04,320 --> 00:19:07,880 We can hear this if we release two different-sized bubbles. 273 00:19:11,320 --> 00:19:14,160 What you can see here is the bubble on the left is giving out the big bubbles. 274 00:19:14,160 --> 00:19:17,200 That is the regular, "blonk, blonk, blonk". 275 00:19:20,680 --> 00:19:25,520 The smaller bubble, coming out of the needle on the right, 276 00:19:25,520 --> 00:19:27,280 gives you a high "plink". 277 00:19:32,240 --> 00:19:36,040 If it's a different size, it gives you a different note. Pretty much, yes. 278 00:19:36,040 --> 00:19:39,880 It just so happens that these millimetre-size bubbles 279 00:19:39,880 --> 00:19:43,120 give out plinks at the frequencies we can hear, 280 00:19:43,120 --> 00:19:48,000 which is why babbling brooks makes a poetical babble that you can hear. 281 00:19:48,000 --> 00:19:53,600 If the numbers came out differently, the babbling brooks would be silent and we'd have lost all that poetry. 282 00:19:53,600 --> 00:19:55,280 But as it is... So wait a minute, 283 00:19:55,280 --> 00:19:58,760 if the bubbles were just way too small, we wouldn't hear them at all. 284 00:19:58,760 --> 00:20:02,200 Yeah, that's right. That's right. The numbers turn out just right 285 00:20:02,200 --> 00:20:06,280 so that the babbling brook and the waterfall and such like are musical. 286 00:20:06,280 --> 00:20:09,640 Fantastic. Yeah, it's nice, yeah. That is quite good, isn't it? 287 00:20:12,200 --> 00:20:17,080 In a wave - obviously I've never even thought of trying to count the bubbles in a wave - 288 00:20:17,080 --> 00:20:20,160 but we were on the beach a couple of weeks ago, 289 00:20:20,160 --> 00:20:23,720 and it was just a wall of Atlantic surf, and it was just white. 290 00:20:23,720 --> 00:20:26,880 It was about, I don't know, eight foot of whiteness, 291 00:20:26,880 --> 00:20:29,760 that's all bubbles, isn't it? Where you see white... 292 00:20:29,760 --> 00:20:33,600 Just a metre of that must have been an uncountable number of your bubbles? 293 00:20:33,600 --> 00:20:35,480 Yeah, and each one is giving a noise, 294 00:20:35,480 --> 00:20:40,240 which is why we think of oceans and waterfalls as being noisy, and it is a very powerful noise. 295 00:20:40,240 --> 00:20:43,280 But we don't think of them being noisy, they are. They are. 296 00:20:45,280 --> 00:20:51,440 The noise of an ocean wave is made by all the bubbles, all heard at once. 297 00:20:53,240 --> 00:20:56,160 Slow the sound of the wave down far enough... 298 00:20:58,280 --> 00:21:04,080 ..and we hear the individual notes, each from a bubble vibrating. 299 00:21:05,080 --> 00:21:10,280 Multiply the bubbles up a trillion-fold and they become the song of the ocean. 300 00:21:12,280 --> 00:21:15,360 Each bubble is like a little bell giving out a very pure note 301 00:21:15,360 --> 00:21:22,360 and what you see there is, you've got a wobbly sea surface, and then a couple of thousand bells, 302 00:21:22,360 --> 00:21:25,880 and it's obvious where the sound's coming from. It is now, it is now. 303 00:21:30,320 --> 00:21:35,960 It's not just scientists who want to know what happens to the energy after it's crossed the ocean. 304 00:21:36,960 --> 00:21:40,200 Morning, gentlemen. Hello, there. 305 00:21:40,200 --> 00:21:42,600 Good to see you again. Morning, mate. 306 00:21:42,600 --> 00:21:46,080 'Surfers also need to predict the arrival of waves.' 307 00:21:48,080 --> 00:21:51,640 Did you know it was going to be flat today? Yeah. 308 00:21:51,640 --> 00:21:53,600 How do you predict the waves? 309 00:21:53,600 --> 00:21:56,680 Is it something you have to do with surfing? I presume it is. 310 00:21:56,680 --> 00:21:58,800 The earlier you know the waves are going to be good, 311 00:21:58,800 --> 00:22:01,320 the easier it is to make a decision about where to go surfing. 312 00:22:01,320 --> 00:22:03,720 So you can use, you can check on mobile phones, 313 00:22:03,720 --> 00:22:08,960 I can check out the synoptic weather charts which gives you an idea where the low pressure is going to be. 314 00:22:08,960 --> 00:22:11,880 And ideally when you get here, you want the wind to be blowing off the land, 315 00:22:11,880 --> 00:22:14,600 which will make the waves smoother and give us a cleaner wave to surf. 316 00:22:14,600 --> 00:22:20,120 What we're looking for is one perfect band of energy, really, moving in sets, unaffected by anything else. 317 00:22:20,120 --> 00:22:23,160 What do you mean by a perfect band of energy? 318 00:22:23,160 --> 00:22:27,680 Say there's a storm, north of Scotland and it's nice and tight and it creates one swell, 319 00:22:27,680 --> 00:22:33,680 then that swell travels and over a period of time it becomes formed into nice long lines of waves. 320 00:22:33,680 --> 00:22:35,040 Pulses of energy. 321 00:22:35,040 --> 00:22:39,320 And it's that energy you're looking for. Is that what you're surfing, the energy? 322 00:22:39,320 --> 00:22:42,520 Yeah, we're just looking to ride the energy. 323 00:22:42,520 --> 00:22:45,280 On the perfect days, the water doesn't really move... 324 00:22:45,280 --> 00:22:48,840 That's fantastic. ..So the energy is just moving through the water. 325 00:22:59,800 --> 00:23:04,160 And the purest experience is the nearest you get to the pure form of energy. 326 00:23:04,160 --> 00:23:07,600 So the oscillations as they come to the shore, as they continue in, 327 00:23:07,600 --> 00:23:10,320 that roundness, that hollowness. 328 00:23:29,960 --> 00:23:36,040 Surfers know all about the energy of the wave and how its energy has to go somewhere. 329 00:23:36,040 --> 00:23:39,520 I love the way surfers understand this as well as any scientist. 330 00:23:43,240 --> 00:23:48,000 Richard Porter has explored why it is that waves contain so much energy. 331 00:23:48,000 --> 00:23:51,400 If you really want to think about how powerful a wave is, 332 00:23:51,400 --> 00:23:55,920 you just think about sitting on a boat, just a little boat, somewhere out to sea, 333 00:23:55,920 --> 00:24:00,320 and imagine you're sitting there and the boat is moving up and down. 334 00:24:00,320 --> 00:24:03,840 But imagine how much power you'd need to give to that boat 335 00:24:03,840 --> 00:24:07,800 just to lift it up and down. And that energy comes from the wave. 336 00:24:07,800 --> 00:24:12,040 If you had to do that on land, it would take a large group of men to lift that up. 337 00:24:12,040 --> 00:24:16,800 Well, yeah, machinery to do that. Whereas, on the boat, on the sea... It just happens, right? 338 00:24:16,800 --> 00:24:20,440 So it is a huge, huge amount of energy in a single wave. 339 00:24:20,440 --> 00:24:24,400 Surface waves are a fantastic way of storing energy 340 00:24:24,400 --> 00:24:30,760 because they take energy, which occupies a three-dimensional space. 341 00:24:30,760 --> 00:24:32,040 Like wind or something. 342 00:24:32,040 --> 00:24:35,800 Wind, it occupies the atmosphere, it's three-dimensional 343 00:24:35,800 --> 00:24:39,480 and it transmits its energy to these surface waves, 344 00:24:39,480 --> 00:24:44,440 these waves that you see on the ocean, which exist upon the surface of the water. 345 00:24:44,440 --> 00:24:46,320 So they've kind of concentrated it. 346 00:24:46,320 --> 00:24:49,800 Yes. So you've taken this three-dimensional space, 347 00:24:49,800 --> 00:24:54,560 full of energy and you've transmitted it into a two-dimensional surface, 348 00:24:54,560 --> 00:24:57,200 and that's a way of focussing the energy. 349 00:24:57,200 --> 00:24:59,240 Which is what you see out there? 350 00:24:59,240 --> 00:25:00,680 Exactly. 351 00:25:04,680 --> 00:25:06,760 Yes. That makes sense to me. 352 00:25:30,760 --> 00:25:34,120 I've always thought of waves as being on the surface of water. 353 00:25:36,640 --> 00:25:42,360 Professor McIntyre showed me that there are other types of wave hidden below. 354 00:25:43,360 --> 00:25:48,600 The energy that creates many of these internal waves doesn't come from wind. 355 00:25:49,600 --> 00:25:54,640 They owe their existence to temperature and salinity differences IN the ocean. 356 00:25:54,640 --> 00:26:00,920 In this tank, the heavy blue liquid lies underneath a lighter clear one. 357 00:26:00,920 --> 00:26:03,600 This sort of thing is more what you see near coasts, 358 00:26:03,600 --> 00:26:06,920 where a river runs out over the ocean and makes an interface. 359 00:26:06,920 --> 00:26:08,560 If you look along... 360 00:26:08,560 --> 00:26:11,320 And I can just see them curve, beginning to go over... 361 00:26:11,320 --> 00:26:15,800 And they're going the other way, so you can have different waves going in different directions. 362 00:26:15,800 --> 00:26:20,280 And they're not affecting each other. Not very much. And this comes out of the mathematics. 363 00:26:20,280 --> 00:26:22,200 But is this what you get in the ocean? 364 00:26:22,200 --> 00:26:28,440 You get waves doing something down below and in addition to the surface waves? 365 00:26:28,440 --> 00:26:31,640 Yes, you get them at all levels. You get them on any interface. 366 00:26:31,640 --> 00:26:35,200 There's an air-water interface, there's a water-water interface. 367 00:26:35,200 --> 00:26:38,880 So you get that kind of wave on the surface, that's what we're used to, 368 00:26:38,880 --> 00:26:41,160 and then 20 feet or 50 feet or whatever it is, 369 00:26:41,160 --> 00:26:44,040 you've got this going on, which we don't normally see? 370 00:26:44,040 --> 00:26:45,560 Yes. 371 00:26:47,400 --> 00:26:52,920 Professor McIntyre's work shows that surface waves are just the start. 372 00:26:52,920 --> 00:26:59,000 Beneath them are larger internal waves which run in different directions to those on the surface. 373 00:27:03,160 --> 00:27:08,760 There are some very important waves in the ocean which break sideways, known as Rossby waves. 374 00:27:10,840 --> 00:27:17,040 The thing can move sideways and there's a fundamental sideways wave motion, called Rossby waves. 375 00:27:17,040 --> 00:27:20,080 I walked in here this morning just having one kind of wave! 376 00:27:20,080 --> 00:27:23,360 I've got about five now. But if you want to understand the ocean, 377 00:27:23,360 --> 00:27:27,200 you have to have at least five. I can mention more if you like. Please don't. 378 00:27:27,200 --> 00:27:29,480 Let's take Rossby waves, cos they're fundamentally important. 379 00:27:29,480 --> 00:27:32,720 To understand how jets form you have to understand Rossby waves 380 00:27:32,720 --> 00:27:35,120 and how they break and they do it all sideways. 381 00:27:35,120 --> 00:27:38,080 Is that what it is? If you think of the gulf stream, 382 00:27:38,080 --> 00:27:42,840 it's essentially a jet with Rossby waves on it and they're breaking all the time. 383 00:27:42,840 --> 00:27:46,160 That means they're throwing off eddies, sideways, 384 00:27:46,160 --> 00:27:49,640 and that's a kind of wave breaking, from a Rossby wave perspective. 385 00:27:49,640 --> 00:27:55,720 And that wave breaking is fundamentally how the jets sharpen and maintain themselves. 386 00:27:55,720 --> 00:27:57,800 How they stay narrow. 387 00:28:00,480 --> 00:28:04,120 Rossby waves allow the Gulf Stream to flow like a river 388 00:28:04,120 --> 00:28:07,640 within the Atlantic ocean, for thousands of miles. 389 00:28:09,960 --> 00:28:15,000 Without these sideways eddies, the main current would break up, 390 00:28:15,000 --> 00:28:20,200 the warming effect of the Gulf Stream would disappear and Europe would freeze over. 391 00:28:28,400 --> 00:28:31,600 We have seen how energy travels through water in the ocean 392 00:28:31,600 --> 00:28:35,640 but other waves of energy are found throughout the universe. 393 00:28:37,680 --> 00:28:42,440 The world is actually filled with waves, it's just that we can't see them, generally. 394 00:28:42,440 --> 00:28:46,280 Right here, there are quantum waves, light waves, sound waves. 395 00:28:46,280 --> 00:28:50,720 There are sound waves distorting the air between me and you right now, but we can't see them. 396 00:28:50,720 --> 00:28:55,120 They happen on a time scale that we can't appreciate or physically at a scale we can't appreciate. 397 00:28:55,120 --> 00:29:00,720 The one place where you really see this other reality is in the water. 398 00:29:01,720 --> 00:29:06,200 That's where you can see the waves doing what they do, making the world work. 399 00:29:07,720 --> 00:29:12,360 And once you realise that, you realise that the familiar world, 400 00:29:12,360 --> 00:29:17,080 the static world of rocks and cliffs, is just one side of reality, 401 00:29:17,080 --> 00:29:21,920 there is this other reality where everything is actually in motion, in process. 402 00:29:25,240 --> 00:29:29,320 It is this that makes water waves so fascinating for me. 403 00:29:29,320 --> 00:29:34,640 They're not made of water, so a wave isn't really a tangible object. 404 00:29:34,640 --> 00:29:36,680 Waves are process. 405 00:29:48,200 --> 00:29:52,600 Michael McIntyre recognises that process is the important side of reality, 406 00:29:52,600 --> 00:29:55,520 yet it's often hidden from us. 407 00:29:55,520 --> 00:29:57,800 If we want to understand anything in depth, 408 00:29:57,800 --> 00:30:00,520 we usually find we need to think of it both as objects 409 00:30:00,520 --> 00:30:03,880 and as dynamic processes and see how it all fits together. 410 00:30:03,880 --> 00:30:08,920 I always tell my students, "What is understanding?" Understanding means being able to see something 411 00:30:08,920 --> 00:30:13,960 from more than one viewpoint, make it all consistent, do it in equations, in words, in pictures. 412 00:30:13,960 --> 00:30:16,200 make it all hang together consistently. 413 00:30:16,200 --> 00:30:21,280 Very often we say, "OK, that's an object but if you zoom in you'll see a process." 414 00:30:21,280 --> 00:30:24,240 Do you like that Heraclites quote, 415 00:30:24,240 --> 00:30:29,920 that everything flows and nothing persists, or nothing endures? 416 00:30:29,920 --> 00:30:33,120 Well, I'd agree with him, certainly. 417 00:30:33,120 --> 00:30:36,720 Our whole understanding of the cosmos says that that's the case. 418 00:30:36,720 --> 00:30:38,720 And waves are the archetype for that. 419 00:30:38,720 --> 00:30:43,080 That's why we thought we would make this film on waves, as the science of change. 420 00:30:43,080 --> 00:30:48,760 Because, you can understand that quote and the idea of process, 421 00:30:48,760 --> 00:30:52,840 intellectually, but it's very difficult to see it most places, isn't it? 422 00:30:52,840 --> 00:30:56,880 I mean you can't stare at a table and see it as a process. It's an object. 423 00:30:56,880 --> 00:31:01,520 But waves, it's right there, isn't it? Yeah, ordinary waves on the surface of the sea, 424 00:31:01,520 --> 00:31:04,920 they're highly visible, so they give us all sorts of new ideas. 425 00:31:09,440 --> 00:31:17,360 Understanding waves reveals the processes that govern the universe and therefore govern our lives too. 426 00:31:17,360 --> 00:31:24,560 Almost by definition, waves are about the transformation of energy and so are people. 427 00:31:26,440 --> 00:31:30,800 We harness energy to keep us alive, from cradle to grave. 428 00:31:30,800 --> 00:31:35,080 Without this constant throughput of energy, we'd just be a pile of atoms. 429 00:31:39,680 --> 00:31:43,800 Our lives are in continuous change. 430 00:31:47,360 --> 00:31:51,720 As you get older, especially once you've had children, 431 00:31:51,720 --> 00:31:55,440 you start to think that life maybe really is a process. 432 00:31:55,440 --> 00:31:59,400 It stops being just you as a static thing in your life 433 00:31:59,400 --> 00:32:05,320 and suddenly there's a process of your parents getting older and your children coming along, 434 00:32:05,320 --> 00:32:08,440 and life seems somehow to be moving, 435 00:32:08,440 --> 00:32:13,520 like a wave, it's shifting along and you're going with it. 436 00:32:13,520 --> 00:32:17,920 And for me, it was quite a fundamental change. 437 00:32:26,080 --> 00:32:33,560 To have children, to grow older, it's all part of our life-cycle, a dynamic process of change. 438 00:32:39,840 --> 00:32:46,280 Seeing our lives as process is part of a philosophical debate that's long intrigued me. 439 00:32:46,280 --> 00:32:50,280 The debate is over whether it is more fundamental, more true, 440 00:32:50,280 --> 00:32:53,680 to view the world as objects or as processes. 441 00:33:01,120 --> 00:33:05,840 I think most of the time, we see the world as a collection of objects. 442 00:33:10,600 --> 00:33:14,040 This is because so many processes are invisible. 443 00:33:19,480 --> 00:33:22,480 Take the creation and erosion of a coastline. 444 00:33:22,480 --> 00:33:27,080 It happens over thousands of years, a period of time inaccessible to humans. 445 00:33:32,760 --> 00:33:37,120 To us, on the beach, the coastline appears static and inviolable. 446 00:33:40,240 --> 00:33:44,960 Except for waves, virtually everything around us is like this, 447 00:33:44,960 --> 00:33:50,280 and that's perhaps why humans are hard-wired to perceive the world as full of objects. 448 00:33:53,520 --> 00:33:59,880 But Richard Porter, who constantly studies waves, has a different perspective. 449 00:33:59,880 --> 00:34:02,160 Making mountains is a slow process, 450 00:34:02,160 --> 00:34:05,040 but, clearly, it's a very powerful process. 451 00:34:05,040 --> 00:34:10,800 And this is a fast process on that timescale, 452 00:34:10,800 --> 00:34:14,280 but it's a timescale that we can actually observe. It's a human one. 453 00:34:14,280 --> 00:34:21,840 And waves are a way of doing that, to remind people, actually, the world isn't a static place, 454 00:34:21,840 --> 00:34:25,440 that it is full of this energy, which is doing things. 455 00:34:25,440 --> 00:34:32,440 Yes. I think that waves in some ways 456 00:34:32,440 --> 00:34:38,400 are almost uniquely placed in that they are essentially things 457 00:34:38,400 --> 00:34:42,040 that are created and destroyed in equal measure. 458 00:34:42,040 --> 00:34:45,440 They're always being created. They're always being destroyed. 459 00:34:45,440 --> 00:34:49,680 And you think of all of the other types of natural forces that you see at work, 460 00:34:49,680 --> 00:34:52,920 and you don't quite see that level of dynamism that you have. 461 00:34:52,920 --> 00:34:55,520 You tend to see one end of the process or the other. 462 00:34:55,520 --> 00:34:59,240 With wind, you see wind generated and then it disappears off somewhere 463 00:34:59,240 --> 00:35:01,680 and you don't really get to know where it goes. 464 00:35:01,680 --> 00:35:06,240 But you've got this continual sort of, these waves coming in, continuously. 465 00:35:06,240 --> 00:35:09,280 It is this permanent exchange of energy. 466 00:35:21,720 --> 00:35:26,440 Professor Markus Kirkilionis uses maths to model the natural world. 467 00:35:26,440 --> 00:35:30,680 He pushes the concept of waves further than anyone else. 468 00:35:30,680 --> 00:35:34,720 Hello, Professor Kirkilionis. Nice to meet you. Nice to meet you too. 469 00:35:34,720 --> 00:35:38,800 We've talked a lot to physicists and I can see why they're interested in waves, 470 00:35:38,800 --> 00:35:42,480 why are they important for maths? Do you see waves when you look around, 471 00:35:42,480 --> 00:35:45,080 when you look in the world, do you see other waves? 472 00:35:45,080 --> 00:35:48,440 Oh, I see waves everywhere, to be honest, yes! 473 00:35:48,440 --> 00:35:52,160 Just look at this marvellous city. 474 00:35:52,160 --> 00:35:55,640 It has spread for centuries. 475 00:35:55,640 --> 00:35:59,520 If you would now give me a map of London, 476 00:35:59,520 --> 00:36:04,120 let's say 500 years ago and we would gradually, every 50 years, look at it, 477 00:36:04,120 --> 00:36:08,240 you would actually see a wave-like structure evolving. 478 00:36:08,240 --> 00:36:10,520 If you compare such a city, 479 00:36:10,520 --> 00:36:15,160 with all its processes that are going on all the time, 480 00:36:15,160 --> 00:36:18,680 you have a lot of similarity to all this, 481 00:36:18,680 --> 00:36:23,600 to the waves in the ocean at a very windy day, where a lot of things are going on. 482 00:36:23,600 --> 00:36:29,160 What is interesting for us in a wave is usually it's dynamic behaviour, that it does something, 483 00:36:29,160 --> 00:36:33,840 it transmits something, like information or energy and... 484 00:36:33,840 --> 00:36:38,400 And also its very, being is slightly more tenuous. That's the thing that's interesting to me. 485 00:36:38,400 --> 00:36:42,880 You look out at buildings and there's this notion that we don't need to worry about them, 486 00:36:42,880 --> 00:36:44,840 they're just going to be there forever. 487 00:36:49,080 --> 00:36:51,960 The energy within a process is always changing. 488 00:36:51,960 --> 00:36:55,560 The energy within an object is locked in place. 489 00:36:55,560 --> 00:37:00,720 But perhaps this constancy of an object is just an illusion. 490 00:37:00,720 --> 00:37:07,160 Whether we can call something a static thing or a dynamic thing, 491 00:37:07,160 --> 00:37:11,080 that really depends on the timescale you are observing it 492 00:37:11,080 --> 00:37:15,640 and that's a general principle that is, of course, also valid in mathematics. 493 00:37:15,640 --> 00:37:19,640 But is it still worth having the distinction between objects and processes? 494 00:37:19,640 --> 00:37:24,640 I mean, take St Paul's. Now is that an object for you? 495 00:37:24,640 --> 00:37:30,280 Well, I think for us humans, it is naturally an object first, 496 00:37:30,280 --> 00:37:35,720 because our lifetime, compared to St Paul's, is much shorter, 497 00:37:35,720 --> 00:37:40,080 so we will not see any change in this object. 498 00:37:40,080 --> 00:37:44,520 Also, the physical forces inside the building, you know, all the atoms, 499 00:37:44,520 --> 00:37:50,280 together, they form something solid which will not change in time, 500 00:37:50,280 --> 00:37:53,920 at least not over the time we both can observe it. 501 00:37:53,920 --> 00:37:59,160 And that is a principle that applies to a lot of mathematical objects as well. 502 00:37:59,160 --> 00:38:01,160 It does work at a mathematical level? 503 00:38:01,160 --> 00:38:05,040 Yes, so typically in the mathematical equations, 504 00:38:05,040 --> 00:38:09,400 you can distinguish between solutions that are constant in time - 505 00:38:09,400 --> 00:38:12,920 we call them equilibrium solutions or steady states - 506 00:38:12,920 --> 00:38:20,840 and other solutions to the same equation that are non-constant - we call them transients, very often. 507 00:38:20,840 --> 00:38:25,480 And the wave would be typically a transient... Ah yeah, yeah. 508 00:38:25,480 --> 00:38:31,600 And you can study these objects, for example, in terms of their stability. 509 00:38:31,600 --> 00:38:36,640 So there is this distinction between stability and instability in the world. 510 00:38:37,640 --> 00:38:40,800 Which means the division between object and process, 511 00:38:40,800 --> 00:38:44,360 between a cathedral and a wave, 512 00:38:44,360 --> 00:38:47,800 is actually based on a bedrock of mathematics. 513 00:39:08,200 --> 00:39:12,720 It was mathematics that was central to the work on wave heights 514 00:39:12,720 --> 00:39:14,040 during World War II. 515 00:39:16,440 --> 00:39:19,680 A young oceanographer by the name of Walter Munk 516 00:39:19,680 --> 00:39:24,480 found a way to predict the waves for the invasion of North Africa. 517 00:39:29,160 --> 00:39:31,640 Munk realised that the height of the waves 518 00:39:31,640 --> 00:39:37,280 was directly correlated to the wind energy injected into the waves. 519 00:39:37,280 --> 00:39:39,760 So what were the things that he was looking for? 520 00:39:39,760 --> 00:39:42,360 So he worked out there were three crucial factors 521 00:39:42,360 --> 00:39:44,560 in determining the size of the waves. 522 00:39:44,560 --> 00:39:47,280 One is the strength of the wind 523 00:39:47,280 --> 00:39:49,720 blowing over the surface of the water. 524 00:39:49,720 --> 00:39:51,560 So the strength of the storm winds. 525 00:39:51,560 --> 00:39:55,480 The second is the duration that that wind is blowing for. Right. 526 00:39:55,480 --> 00:39:58,120 And the third is what's known as the fetch, 527 00:39:58,120 --> 00:40:03,960 which is the area of sea that the wind is blowing over. 528 00:40:03,960 --> 00:40:06,280 So the longer the fetch is, 529 00:40:06,280 --> 00:40:09,600 the greater the distance that this wind is blowing across. 530 00:40:09,600 --> 00:40:12,440 And these three factors all determine 531 00:40:12,440 --> 00:40:15,960 how much energy the wind gives to the surface of the water. 532 00:40:15,960 --> 00:40:19,040 Imagine the kind of responsibility - 533 00:40:19,040 --> 00:40:24,200 he was 26, 27, and he had the responsibility of determining... 534 00:40:24,200 --> 00:40:29,920 Of picking dates for these amphibious landings in North Africa. 535 00:40:29,920 --> 00:40:32,760 You know, that's a lot of weight on your shoulders. 536 00:40:32,760 --> 00:40:36,680 'After the war, Walter Munk carried on with his research. 537 00:40:36,680 --> 00:40:38,280 'He was the first to suspect 538 00:40:38,280 --> 00:40:42,880 'that the energy contained in a wave is remarkably persistent.' 539 00:40:42,880 --> 00:40:45,600 One of the things he became very interested in 540 00:40:45,600 --> 00:40:52,480 was the progress of ocean waves, having been generated in a storm 541 00:40:52,480 --> 00:40:54,520 and before arriving at some shore. 542 00:40:54,520 --> 00:40:57,600 Ah, so he's filling in the middle bit. The middle bit, yeah. 543 00:40:57,600 --> 00:41:02,320 How far they would travel on their own steam, as it were. Right. 544 00:41:02,320 --> 00:41:08,120 So from storms that generated the waves off the coast of Antarctica... 545 00:41:08,120 --> 00:41:11,080 He was trying to follow them? He followed them, yes. 546 00:41:11,080 --> 00:41:13,800 There are six stations off the coast of Antarctic, 547 00:41:13,800 --> 00:41:20,520 they went up past New Zealand and then past Samoa, Hawaii. 548 00:41:20,520 --> 00:41:26,720 Each of these measuring stations were a few thousands of miles from the last one. 549 00:41:26,720 --> 00:41:31,640 In the North Pacific - the last of their measuring stations - 550 00:41:31,640 --> 00:41:36,400 since there was no island there they used this boat known as FLIP. 551 00:41:39,720 --> 00:41:42,320 No, you're kidding me! And it does actually flip! 552 00:41:42,320 --> 00:41:45,760 It was like a Thunderbirds-type thing. 553 00:41:45,760 --> 00:41:48,560 Only the Americans would come up with a boat like that. 554 00:41:48,560 --> 00:41:51,160 Does it really tip up? 555 00:41:51,160 --> 00:41:55,520 One end of the boat goes into the water and the other end sticks out. 556 00:41:55,520 --> 00:41:58,600 That must be slightly alarming. 557 00:41:58,600 --> 00:42:01,440 The reason for this is that they want to 558 00:42:01,440 --> 00:42:03,880 try and get the boat as steady as possible 559 00:42:03,880 --> 00:42:06,760 when there's no land to tether it to. 560 00:42:06,760 --> 00:42:14,280 And the way to do that is to kind of anchor the boat in the water. 561 00:42:14,280 --> 00:42:17,680 Deeper down. Deep down, below the motion of the waves. 562 00:42:17,680 --> 00:42:20,720 So it's like sticking a big pendulum... 563 00:42:20,720 --> 00:42:23,720 the weight's at the bottom so is going to be fairly steady. 564 00:42:23,720 --> 00:42:25,920 Yeah. That's clever. The depth... 565 00:42:25,920 --> 00:42:28,480 I don't think I'd have liked to be on that boat though. 566 00:42:28,480 --> 00:42:31,840 I mean, you'd be in the middle of the sea and it'd starts tipping up. 567 00:42:31,840 --> 00:42:36,720 You've got to make sure you tell everybody when you're going to tip it. Very important. My God! 568 00:42:36,720 --> 00:42:37,840 And did it work? 569 00:42:37,840 --> 00:42:41,200 Yes, they were certainly able to measure them there 570 00:42:41,200 --> 00:42:44,400 and that was quite late on in the progress of the waves. 571 00:42:44,400 --> 00:42:48,920 And where would they end up? They eventually ended up on the coast of Alaska, having... 572 00:42:48,920 --> 00:42:53,480 The coast of Alaska, all the way from Antarctica? Yeah. 573 00:42:53,480 --> 00:42:57,560 It was a 7,000 mile journey. Astonishing, really. 574 00:42:57,560 --> 00:42:59,960 How does he know that they're the same waves? 575 00:42:59,960 --> 00:43:05,000 Well, that was really the tricky part of the study. 576 00:43:05,000 --> 00:43:08,080 It was all to do with knowing what they were looking for 577 00:43:08,080 --> 00:43:11,920 so the work that had been done during the war 578 00:43:11,920 --> 00:43:18,040 for measuring how waves develop and change with distance from the storm 579 00:43:18,040 --> 00:43:19,920 was crucial in this. 580 00:43:19,920 --> 00:43:24,720 Because that told them what size the waves ought to be 581 00:43:24,720 --> 00:43:26,680 by the time they reached this area. 582 00:43:26,680 --> 00:43:30,960 And remember, once those waves reached the shore of Alaska 583 00:43:30,960 --> 00:43:32,800 at the far end of this journey, 584 00:43:32,800 --> 00:43:37,000 which took them, incidentally, about two weeks to make this journey... 585 00:43:37,000 --> 00:43:40,800 7,000 miles in two weeks?! Yeah. That's moving along. 586 00:43:40,800 --> 00:43:43,080 They do, don't they, yeah. 587 00:43:43,080 --> 00:43:46,080 But once they reached the other end, 588 00:43:46,080 --> 00:43:52,760 the energy has been spread in this fan-like way over such a large area 589 00:43:52,760 --> 00:43:56,840 that the wave is very, very small by the time they reach it - 590 00:43:56,840 --> 00:43:59,760 just a matter of millimetres in height. 591 00:43:59,760 --> 00:44:04,640 So by the time it gets to Alaska, it's very shallow but... 592 00:44:04,640 --> 00:44:05,840 Very, very broad. 593 00:44:10,960 --> 00:44:14,280 Munk was the first man who actually thought to follow waves 594 00:44:14,280 --> 00:44:16,160 and find out what happened to them. 595 00:44:16,160 --> 00:44:20,280 He followed them over 7,000 miles, an absolutely epic piece of work. 596 00:44:20,280 --> 00:44:25,760 But what he didn't look at was what happened to waves when they come to the end of their life cycle. 597 00:44:25,760 --> 00:44:28,200 When they arrive at the other edge of the sea. 598 00:44:31,760 --> 00:44:33,040 For thousands of miles, 599 00:44:33,040 --> 00:44:38,240 a wave has a perfectly regular undulating shape. 600 00:44:38,240 --> 00:44:40,040 Then as the wave nears the shore, 601 00:44:40,040 --> 00:44:43,760 it rears up into a crest just before it breaks. 602 00:44:43,760 --> 00:44:47,160 Something has caused it to change. 603 00:44:48,520 --> 00:44:51,760 Essentially what happens is, as it comes in towards the shore, 604 00:44:51,760 --> 00:44:54,840 it feels the presence of the beach that much more 605 00:44:54,840 --> 00:45:00,520 and there is suddenly a great difference between what is happening at the top of the wave 606 00:45:00,520 --> 00:45:03,280 and what is happening at the bottom of the wave. 607 00:45:03,280 --> 00:45:05,040 Theoretically, what that does is 608 00:45:05,040 --> 00:45:08,640 the wave at the top wants to move faster than the wave at the bottom 609 00:45:08,640 --> 00:45:10,920 and that's what causes this over-turning. 610 00:45:10,920 --> 00:45:14,640 Because the speed of the wave is dependent upon the depth. 611 00:45:17,040 --> 00:45:18,880 For the most part, out in the ocean, 612 00:45:18,880 --> 00:45:22,360 the depth is so deep that it's all moving at the same speed. 613 00:45:22,360 --> 00:45:24,400 But when you come towards the shore... 614 00:45:24,400 --> 00:45:26,440 The bottom slows down for some reason. 615 00:45:26,440 --> 00:45:28,880 So the bottom has such an impact all of a sudden 616 00:45:28,880 --> 00:45:31,160 that the change in the height is crucial. 617 00:45:34,200 --> 00:45:36,520 'I was curious to see what happens 618 00:45:36,520 --> 00:45:39,240 'when the energy of a wave dissipates, 619 00:45:39,240 --> 00:45:43,200 'with the help, once again, of Professor McIntyre's rubber ducks.' 620 00:45:43,200 --> 00:45:45,960 So down there it's mostly the energy which is moving? 621 00:45:45,960 --> 00:45:48,000 Well, the energy is going much faster. 622 00:45:48,000 --> 00:45:50,680 See how much faster the crests are than the ducks? Yes. 623 00:45:50,680 --> 00:45:53,320 That slow drift will take them close to the beach 624 00:45:53,320 --> 00:45:57,200 and watch carefully from now on... 625 00:45:57,200 --> 00:45:58,400 That green duck - look. 626 00:45:58,400 --> 00:46:02,000 Suddenly, it gets swept all the way up to the beach. 627 00:46:02,000 --> 00:46:07,120 That's where the wave motion becomes, as it were, water motion or energy propagation. 628 00:46:07,120 --> 00:46:08,920 So when it curls over there, 629 00:46:08,920 --> 00:46:13,480 it ceases to be just the energy that's moving 630 00:46:13,480 --> 00:46:15,280 and the water does actually move? 631 00:46:15,280 --> 00:46:18,320 Is it basically that you are trying to conserve the energy? 632 00:46:18,320 --> 00:46:22,400 The energy has to go somewhere and it has to grab the water, basically? 633 00:46:22,400 --> 00:46:24,440 Not much energy reflects back out. 634 00:46:24,440 --> 00:46:26,320 So most of it has to accumulate 635 00:46:26,320 --> 00:46:30,000 and that's why you get the sudden violence of the wave breaking. 636 00:46:30,000 --> 00:46:31,440 Look at that. I love that. 637 00:46:36,640 --> 00:46:39,360 It's a wonderful visualisation 638 00:46:39,360 --> 00:46:43,880 of gentle wave motion becoming violent wave motion. It is. 639 00:46:43,880 --> 00:46:48,800 You can suddenly, from up there, see it get vertical and then falls over. 640 00:46:48,800 --> 00:46:53,760 Yes. I always think waves are a bit like a man carrying a heavy weight that you tip forward. 641 00:46:53,760 --> 00:46:54,800 He can keep going. 642 00:46:54,800 --> 00:46:58,080 He can keep carrying the weight as long as he keeps going forward. 643 00:46:58,080 --> 00:46:59,680 But if he ever has to stop... 644 00:46:59,680 --> 00:47:00,720 Splat! 645 00:47:06,800 --> 00:47:10,680 It's a law of the universe that energy cannot be destroyed 646 00:47:10,680 --> 00:47:15,560 so as the wave reaches the shore, its energy has to go somewhere. 647 00:47:17,880 --> 00:47:21,080 There are a surprising number of options. 648 00:47:23,160 --> 00:47:27,960 There it is, it's travelled all the way across the Atlantic, happily minding its own business. 649 00:47:27,960 --> 00:47:31,040 It gets to the beach and if it was sentient it would be going, 650 00:47:31,040 --> 00:47:33,520 "Oh, my God, we're running out of water!" 651 00:47:35,040 --> 00:47:39,040 Well, it has to do something different, hasn't it? 652 00:47:39,040 --> 00:47:40,400 Yes, it has to do something. 653 00:47:40,400 --> 00:47:45,720 You cannot make the energy vaporise. So it's going, "OK lads, what do we do now?" There's no water left!" 654 00:47:45,720 --> 00:47:51,680 Things are changed. The energy is experiencing something different when it reaches this region here. 655 00:47:51,680 --> 00:47:53,560 So what does it do? Well, it breaks. 656 00:47:53,560 --> 00:47:55,880 Right, so that uses some of the energy. Yes. 657 00:47:55,880 --> 00:47:58,680 And you see all of the foam 658 00:47:58,680 --> 00:48:01,400 and you hear the noise of the waves breaking - 659 00:48:01,400 --> 00:48:02,800 that's more of the energy. 660 00:48:02,800 --> 00:48:04,800 You're just dissipating energy. 661 00:48:04,800 --> 00:48:08,320 And then presumably, it thumps down onto the sand and that uses a bit? 662 00:48:08,320 --> 00:48:10,440 Exactly, so the sand will absorb energy, 663 00:48:10,440 --> 00:48:14,200 there'll be friction associated with moving the sand. 664 00:48:14,200 --> 00:48:16,680 It shifts tonnes of sand along with it. Exactly. 665 00:48:16,680 --> 00:48:19,360 That takes an awful lot amount of energy as well. 666 00:48:29,160 --> 00:48:33,040 Each individual wave was born thousands of miles away, 667 00:48:33,040 --> 00:48:34,480 travelled across the ocean, 668 00:48:34,480 --> 00:48:38,920 and breaks on the shore in a chaotic confusion of energy and mathematics. 669 00:48:42,240 --> 00:48:47,520 In that moment, the wave dies and the energy moves on... 670 00:48:52,840 --> 00:48:54,840 ..as heat from friction, 671 00:48:54,840 --> 00:48:57,120 as shifting sand and kinetic energy, 672 00:48:57,120 --> 00:49:00,080 and sound energy from the bubbles. 673 00:49:02,240 --> 00:49:05,760 I wonder if the energy that powers a wave 674 00:49:05,760 --> 00:49:08,240 is similar to the energy that keeps us alive? 675 00:49:17,960 --> 00:49:19,560 Think of the boat on the sea. 676 00:49:19,560 --> 00:49:22,000 The boat is an object that doesn't change. 677 00:49:22,000 --> 00:49:25,720 The waves upon which it rides are nothing but change. 678 00:49:25,720 --> 00:49:29,680 The continued existence of the boat depends on it resisting change. 679 00:49:29,680 --> 00:49:34,040 The continued existence of the waves are that they continually change. 680 00:49:34,040 --> 00:49:37,120 Now think of the man on the boat. 681 00:49:37,120 --> 00:49:38,440 Which one is he most like? 682 00:49:40,520 --> 00:49:44,560 'If you look at a human being, is a human being an object or a process?' 683 00:49:44,560 --> 00:49:46,480 Or do you even buy the distinction? 684 00:49:46,480 --> 00:49:49,120 I would buy the distinction. 685 00:49:49,120 --> 00:49:54,160 It corresponds to different points of view you can naturally have. 686 00:49:54,160 --> 00:49:58,960 I think a body - the man, of course - 687 00:49:58,960 --> 00:50:02,160 is an organism, is a living thing. 688 00:50:02,160 --> 00:50:05,760 So it is something that is a process 689 00:50:05,760 --> 00:50:09,720 because it has to constantly exchange energy, material, 690 00:50:09,720 --> 00:50:12,240 with the environment in order to persist. 691 00:50:12,240 --> 00:50:16,000 I mean, we are constantly feeding, we have metabolism 692 00:50:16,000 --> 00:50:18,920 and of course, we're exchanging all our atoms. 693 00:50:18,920 --> 00:50:21,640 But still we are maintaining our shape 694 00:50:21,640 --> 00:50:26,840 and we can recognise after ten years that we are the same kind of person. 695 00:50:26,840 --> 00:50:30,040 And the same of course holds in a sense for the wave. 696 00:50:39,000 --> 00:50:40,480 I am 48 years old 697 00:50:40,480 --> 00:50:42,760 and there are few atoms inside me 698 00:50:42,760 --> 00:50:45,120 that I would've possessed when I was born. 699 00:50:50,080 --> 00:50:54,480 The oxygen, water and food we consume is all borrowed. 700 00:50:54,480 --> 00:50:58,360 In the same way, an ocean wave borrows the water it passes through. 701 00:51:04,600 --> 00:51:10,440 This idea of human life as a dynamic process intrigues Raymond Tallis, 702 00:51:10,440 --> 00:51:16,040 former professor of geriatric medicine, poet and philosopher. 703 00:51:16,040 --> 00:51:17,720 Do you think that the reason that 704 00:51:17,720 --> 00:51:22,280 making a metaphor between human beings and waves has a believability about it 705 00:51:22,280 --> 00:51:27,040 is that we're not finished objects, we're kind of in flux? 706 00:51:27,040 --> 00:51:30,360 I mean, you can't make much metaphor out of a human being and a cup 707 00:51:30,360 --> 00:51:33,560 because it's finished, there's nothing else happening. 708 00:51:33,560 --> 00:51:35,200 Whereas, with a wave you can. 709 00:51:35,200 --> 00:51:38,560 I think that's profoundly true, actually. 710 00:51:38,560 --> 00:51:42,360 It seems to me that a wave is only completed when it's destroyed 711 00:51:42,360 --> 00:51:47,680 and a life is only completed, in a sense, when it's destroyed. 712 00:51:48,800 --> 00:51:51,880 What is arrival for a wave? 713 00:51:51,880 --> 00:51:55,000 It either bumps into a barrier, in which case it bounces back 714 00:51:55,000 --> 00:51:57,480 and continues or it's dissipated. 715 00:51:57,480 --> 00:51:58,840 It breaks and it's gone. 716 00:51:58,840 --> 00:52:01,720 And it seems to me that the arrival for a wave... 717 00:52:01,720 --> 00:52:05,240 well, the arrival for a life, is dissipation. 718 00:52:05,240 --> 00:52:07,920 Right. It's building up to that? 719 00:52:07,920 --> 00:52:10,160 Yes. That's a bit pessimistic, isn't it? 720 00:52:10,160 --> 00:52:12,520 One mustn't take it too tragically, I guess. 721 00:52:12,520 --> 00:52:15,520 How do you think about your own mortality? 722 00:52:15,520 --> 00:52:17,120 Well, I'm not in favour of it. 723 00:52:17,120 --> 00:52:22,200 It seems to me that it is obviously the central fact of our lives, 724 00:52:22,200 --> 00:52:23,480 that they are finite. 725 00:52:23,480 --> 00:52:26,080 But the fact they've been produced by processes 726 00:52:26,080 --> 00:52:28,840 means that they're going to be 727 00:52:28,840 --> 00:52:32,480 destroyed by processes. Those who live by the laws of physics, 728 00:52:32,480 --> 00:52:34,560 die by the laws of physics, basically. 729 00:52:34,560 --> 00:52:35,880 And then for that reason, 730 00:52:35,880 --> 00:52:38,600 one has to accept it with as good a grace as possible. 731 00:52:44,080 --> 00:52:46,880 At death, the energy that has kept us alive 732 00:52:46,880 --> 00:52:49,120 leaves us as heat and entropy. 733 00:52:52,840 --> 00:52:56,480 I believe that this dissipation of energy at the end of life 734 00:52:56,480 --> 00:52:59,960 is equivalent to the breaking of a wave. 735 00:53:02,240 --> 00:53:04,600 If you've ever seen the moment of death, 736 00:53:04,600 --> 00:53:07,440 it's a very strange thing. 737 00:53:07,440 --> 00:53:11,600 One minute, there's an energy there, and then its gone. 738 00:53:11,600 --> 00:53:14,960 Nothing else has changed, and yet everything has changed. 739 00:53:14,960 --> 00:53:20,600 Because the energy that WAS that person has moved on. 740 00:53:26,920 --> 00:53:30,320 It's easier to consider death as a necessary evil 741 00:53:30,320 --> 00:53:34,480 if you think through what would happen if our lives never changed. 742 00:53:36,000 --> 00:53:37,800 Imagine your perfect day, 743 00:53:37,800 --> 00:53:41,240 where everything is exactly as you want it to be. 744 00:53:41,240 --> 00:53:44,080 Now imagine it repeated the next day. 745 00:53:44,080 --> 00:53:46,240 And the next and all the next week. 746 00:53:46,240 --> 00:53:49,840 How long would it be before your perfect timeless paradise 747 00:53:49,840 --> 00:53:52,960 became absolutely hellish and you wanted out? 748 00:53:52,960 --> 00:53:55,200 You see, we want that process of change. 749 00:53:55,200 --> 00:53:59,880 Think of it this way - would you really want to be able 750 00:53:59,880 --> 00:54:03,160 to keep your parents forever and never having them die? 751 00:54:03,160 --> 00:54:06,240 But the cost would be you could never have any children. 752 00:54:06,240 --> 00:54:08,920 We don't want that, we are transitory beings. 753 00:54:08,920 --> 00:54:14,880 We want the joy of the new, and the cost is, we have to let the old go. 754 00:54:22,800 --> 00:54:25,400 My mother and father have been coming to this spot 755 00:54:25,400 --> 00:54:26,560 ever since I was born 756 00:54:26,560 --> 00:54:29,400 to look at the ruined priory nearby 757 00:54:29,400 --> 00:54:32,320 'and to watch the waves.' 758 00:54:32,320 --> 00:54:35,560 I was just thinking how I must have been, what, 759 00:54:35,560 --> 00:54:38,040 two and half the first time I went to the priory. 760 00:54:38,040 --> 00:54:43,200 Two and half? Don't you think? Really. Oh, yeah. I used to take you down there. 761 00:54:43,200 --> 00:54:46,480 I remember feeling the railings being quite rough, 762 00:54:46,480 --> 00:54:49,720 and you'd stand there and you'd kind of see the wave coming in. 763 00:54:49,720 --> 00:54:52,120 And you'd see it coming...! 764 00:55:00,240 --> 00:55:04,120 'A few months after we filmed this scene, my mother died.' 765 00:55:04,120 --> 00:55:06,680 'I've actually got lots of photographs of my mum, 766 00:55:06,680 --> 00:55:11,880 'but the only film I have of her we shot for this film,' 767 00:55:11,880 --> 00:55:16,720 and I decided to film her because I realised it was maybe my last chance 768 00:55:16,720 --> 00:55:18,360 because she was dying. 769 00:55:20,400 --> 00:55:24,400 'I realised even as we were filming it' 770 00:55:24,400 --> 00:55:27,960 that there I was making a film about how things are transitory, 771 00:55:27,960 --> 00:55:31,320 and how things have to move on, 772 00:55:31,320 --> 00:55:35,160 and yet here we were taking a photograph of her, 773 00:55:35,160 --> 00:55:40,560 taking a film of her so that somehow I could hold that moment. 774 00:55:40,560 --> 00:55:44,760 Illogical as I knew it was, I still wanted to do it. 775 00:55:48,320 --> 00:55:51,920 'And so it's just the way it's worked out that this film' 776 00:55:51,920 --> 00:55:55,160 and the priory and the waves 777 00:55:55,160 --> 00:55:59,280 have all become inextricably linked for me. 778 00:56:03,960 --> 00:56:07,720 Perhaps I could add something. There is also the compensation of death, 779 00:56:07,720 --> 00:56:11,080 which is to say, without a conclusion there is no sense of form. 780 00:56:11,080 --> 00:56:15,600 There is no sense of rounded meaning. 781 00:56:15,600 --> 00:56:22,680 In many ways, meaning itself cannot be...boundlessly open. 782 00:56:22,680 --> 00:56:26,480 We need closure. We need narrowing. We need sealing off to some extent. 783 00:56:26,480 --> 00:56:29,480 A piece of music would not be enjoyable if went on forever. 784 00:56:29,480 --> 00:56:33,800 And that's why an endless succession of waves, all identical, 785 00:56:33,800 --> 00:56:35,800 would not be very attractive, 786 00:56:35,800 --> 00:56:38,400 however individually beautiful the waves were. 787 00:56:38,400 --> 00:56:41,240 You have to have inflection. When we listen to a clock, 788 00:56:41,240 --> 00:56:45,680 we don't hear "tick tick tick tick". We hear "tick-tock tick-tock", 789 00:56:45,680 --> 00:56:49,080 as if we have to divide in something into a beginning and an end 790 00:56:49,080 --> 00:56:52,200 just to give us some sense of structure and closure. 791 00:57:10,920 --> 00:57:14,080 What's come out of this film for me is I started out thinking 792 00:57:14,080 --> 00:57:19,320 there was this beautiful poetic metaphorical connection between 793 00:57:19,320 --> 00:57:24,040 waves as a process and us and our transitory lives. 794 00:57:24,040 --> 00:57:28,560 I was sure that that was important, but I thought in a poetic way. 795 00:57:30,760 --> 00:57:34,200 What I've learnt is that it's not just poetry, 796 00:57:34,200 --> 00:57:35,800 It's not just a metaphor, 797 00:57:35,800 --> 00:57:40,840 that just as it is the energy in a wave which 798 00:57:40,840 --> 00:57:43,200 forces all of the atoms of the water 799 00:57:43,200 --> 00:57:46,520 into that beautiful and unlikely shape of a wave, 800 00:57:46,520 --> 00:57:50,440 so in us, it's the throughput of energy in our lives which keeps 801 00:57:50,440 --> 00:57:53,480 us and our atoms in this unlikely shape. 802 00:57:53,480 --> 00:57:57,480 And that just as when the energy moves on from a wave and it breaks, 803 00:57:57,480 --> 00:57:59,160 so it is for us. 804 00:57:59,160 --> 00:58:01,560 And so what I've learnt is that 805 00:58:01,560 --> 00:58:05,040 we're not just metaphorically like a wave. 806 00:58:05,040 --> 00:58:11,200 In some really important and scientific way, we ARE a wave. 807 00:58:28,320 --> 00:58:32,600 Subtitles by Red Bee Media Ltd 808 00:58:32,600 --> 00:58:37,080 E-mail subtitling@bbc.co.uk