1 00:00:58,480 --> 00:01:00,550 ~ MESSIAEN: Quartet For The End Of Time 2 00:01:16,200 --> 00:01:19,795 WOMAN: I would say that he is... elderly. 3 00:01:26,000 --> 00:01:27,956 I think that... 4 00:01:28,040 --> 00:01:30,395 obviously he's not English. 5 00:01:31,400 --> 00:01:34,631 He has a rounder face than most of the English people. 6 00:01:36,080 --> 00:01:38,310 I should say he's probably continental... 7 00:01:39,880 --> 00:01:41,836 ...if not Eastern continental. 8 00:01:46,280 --> 00:01:48,236 The lines on his face... 9 00:01:48,320 --> 00:01:51,551 would be... lines of... 10 00:01:51,640 --> 00:01:53,596 possible agony. 11 00:01:54,880 --> 00:01:56,791 I thought at first they were scars. 12 00:02:02,920 --> 00:02:05,036 It's not a happy face. 13 00:02:20,400 --> 00:02:27,272 BRONOWSKl: One aim of the physical sciences has been to give an exact picture 14 00:02:27,360 --> 00:02:29,316 of the material world. 15 00:02:30,360 --> 00:02:37,948 One achievement of physics in the 20th century has been to prove that that aim is unattainable. 16 00:02:39,480 --> 00:02:42,597 Take a good concrete object, 17 00:02:42,680 --> 00:02:44,636 the human face. 18 00:02:45,400 --> 00:02:50,349 This is the face of Stefan Bor-grajewicz, 19 00:02:50,440 --> 00:02:54,149 who, like me, was born in Poland. 20 00:03:04,880 --> 00:03:10,591 Here it is, seen by the Polish artist Feliks Topolski. 21 00:03:11,960 --> 00:03:20,152 We are aware that these pictures do not so much fix the face as explore it. 22 00:03:21,160 --> 00:03:27,554 That the artist is tracing the detail almost as if by touch. 23 00:03:29,080 --> 00:03:32,993 And that each line that is added... 24 00:03:35,280 --> 00:03:37,236 ...strengthens the picture... 25 00:03:38,280 --> 00:03:40,919 ...but never makes it final. 26 00:03:42,960 --> 00:03:46,430 We accept that as the method of the artist. 27 00:03:49,040 --> 00:03:54,717 But what physics has now done is to show that that is the only method to knowledge. 28 00:04:02,360 --> 00:04:05,875 There is no absolute knowledge. 29 00:04:05,960 --> 00:04:11,159 And those who claim it, whether they are scientists or dogmatists, 30 00:04:11,240 --> 00:04:14,073 open the door to tragedy. 31 00:04:15,680 --> 00:04:19,150 All information is imperfect. 32 00:04:20,520 --> 00:04:23,432 We have to treat it with humility. 33 00:04:25,080 --> 00:04:29,312 That's the human condition and that's what quantum physics says. 34 00:04:30,640 --> 00:04:32,278 I mean that literally. 35 00:04:33,040 --> 00:04:38,876 Look at the face across the whole spectrum of electromagnetic information. 36 00:04:52,240 --> 00:04:54,708 The question I'm going to ask is 37 00:04:54,800 --> 00:05:00,591 how fine and how exact is the detail that we can see 38 00:05:00,680 --> 00:05:03,274 with the best instruments in the world? 39 00:05:03,360 --> 00:05:07,035 Even with a perfect instrument, if we can conceive one. 40 00:05:07,880 --> 00:05:12,396 And seeing the detail need not be confined to seeing with visible light. 41 00:05:12,480 --> 00:05:16,473 The spectrum of visible light from red to violet 42 00:05:16,560 --> 00:05:21,315 is only an octave or so in the range of invisible radiations. 43 00:05:22,400 --> 00:05:25,551 There is a whole keyboard of information, 44 00:05:25,640 --> 00:05:31,033 all the way from the longest wavelengths of radio waves - the low notes - 45 00:05:31,120 --> 00:05:36,274 to the shortest wavelengths of X-rays and beyond - the highest notes. 46 00:05:36,360 --> 00:05:41,309 We will shine it all, turn by turn, on the human face. 47 00:05:49,080 --> 00:05:53,153 The longest of the invisible waves are the radio waves, 48 00:05:53,240 --> 00:05:57,631 whose existence Heinrich Hertz proved nearly 100 years ago. 49 00:05:59,800 --> 00:06:03,759 Because they are the longest, they are also the crudest. 50 00:06:05,520 --> 00:06:09,991 A radar scanner, working at a wavelength of a few metres, 51 00:06:10,080 --> 00:06:12,389 will not see the face at all, 52 00:06:12,480 --> 00:06:17,031 unless we make the face also some metres across. 53 00:06:17,120 --> 00:06:19,076 (Beeps) 54 00:06:25,880 --> 00:06:28,155 Only when we shorten the wavelength 55 00:06:28,240 --> 00:06:31,596 does any detail appear on the giant head. 56 00:06:32,640 --> 00:06:35,677 At a fraction of a metre, the ears. 57 00:06:37,640 --> 00:06:42,270 And at the limit of radio waves, a few centimetres, 58 00:06:42,360 --> 00:06:46,592 the first trace of the man beside the statue. 59 00:06:46,680 --> 00:06:48,557 (Beeping) 60 00:06:57,120 --> 00:06:59,953 We are now looking at the face - 61 00:07:00,040 --> 00:07:06,195 the man 's face, with a camera which is sensitive to the next range of radiations: 62 00:07:06,280 --> 00:07:09,955 Less than a millimetre, infra-red. 63 00:07:10,040 --> 00:07:14,591 The astronomer, William Herschel, discovered that in 1800, 64 00:07:14,680 --> 00:07:20,391 by noticing the warmth when he focused his telescope beyond red light. 65 00:07:22,160 --> 00:07:25,709 The infra-red rays are heat rays. 66 00:07:25,800 --> 00:07:29,475 The camera plate translates them into light, 67 00:07:29,560 --> 00:07:34,236 making the hottest look blue and the coolest look red or dark. 68 00:07:35,160 --> 00:07:37,958 We see the rough features of the face. 69 00:07:38,040 --> 00:07:39,996 The eyes... 70 00:07:42,360 --> 00:07:44,316 ...the mouth... 71 00:07:46,320 --> 00:07:48,276 ...the nose... 72 00:07:48,360 --> 00:07:51,113 See the heat stream from the nostrils. 73 00:07:51,200 --> 00:07:58,231 We learn something new about the human face, yes, but what we learn has no detail. 74 00:08:07,120 --> 00:08:11,352 At its shortest wavelength, some hundredths of a millimetre, 75 00:08:11,440 --> 00:08:14,750 infra-red shades gently into visible red. 76 00:08:15,560 --> 00:08:17,516 The film is sensitive to both. 77 00:08:17,600 --> 00:08:20,478 And the face springs to life. 78 00:08:21,200 --> 00:08:25,159 It's no longer a man - it's the man we know. 79 00:08:27,520 --> 00:08:32,116 White light reveals him to the eye, visibly, in detail. 80 00:08:33,160 --> 00:08:34,878 The small hairs... 81 00:08:36,440 --> 00:08:38,715 ...the pores in the skin... 82 00:08:38,800 --> 00:08:40,756 a blemish here... 83 00:08:42,440 --> 00:08:44,829 ...a broken blood vessel there. 84 00:08:50,560 --> 00:08:53,916 White light is a mixture of wavelengths. 85 00:08:54,000 --> 00:08:57,834 From red... to orange... 86 00:08:57,920 --> 00:09:01,151 to yellow... to green... 87 00:09:01,240 --> 00:09:03,959 to blue and to violet - 88 00:09:04,040 --> 00:09:05,996 the shortest visible waves. 89 00:09:06,080 --> 00:09:11,677 We ought to see more exact details with the short violet waves 90 00:09:11,760 --> 00:09:13,716 than the long red waves. 91 00:09:13,800 --> 00:09:19,477 But, in practice, a difference of an octave or so doesn 't help much. 92 00:09:21,480 --> 00:09:27,635 The painter analyses the face, takes the features apart... 93 00:09:28,680 --> 00:09:30,636 ...separates the colours... 94 00:09:30,720 --> 00:09:33,154 enlarges the image. 95 00:09:33,240 --> 00:09:39,156 It's natural to ask, "Shouldn 't the scientist use a microscope?" 96 00:09:39,240 --> 00:09:41,356 Yes, he should. 97 00:09:41,440 --> 00:09:44,079 But we ought to understand 98 00:09:44,160 --> 00:09:50,110 that the microscope enlarges the image but cannot improve it. 99 00:09:51,280 --> 00:09:56,035 The sharpness or detail is fixed by the wavelength of the light. 100 00:09:56,960 --> 00:10:00,157 Here's an enlargement of over 200 times. 101 00:10:00,240 --> 00:10:05,075 And it can single out an individual cell in the skin. 102 00:10:06,600 --> 00:10:10,593 But to get more detail, we still need a shorter wavelength. 103 00:10:13,560 --> 00:10:16,438 The next step, then, is ultraviolet light, 104 00:10:16,520 --> 00:10:21,071 which has a wavelength 1/10,000th of a millimetre and less, 105 00:10:21,160 --> 00:10:25,517 shorter by a factor of ten and more than visible light. 106 00:10:27,280 --> 00:10:31,159 If our eyes were able to see into the ultraviolet, 107 00:10:31,240 --> 00:10:36,360 they would see this ghostly landscape of fluorescence. 108 00:10:43,720 --> 00:10:46,712 The fact is that, at any wavelength, 109 00:10:46,800 --> 00:10:52,875 we can intercept a ray only by objects about as large as a wavelength itself. 110 00:10:52,960 --> 00:10:56,999 A smaller object simply will not cast a shadow. 111 00:10:59,000 --> 00:11:05,030 The ultraviolet microscope looks into the cell, enlarged 3,500 times, 112 00:11:05,120 --> 00:11:08,032 to the level of single chromosomes. 113 00:11:08,120 --> 00:11:10,076 But that's the limit. 114 00:11:10,160 --> 00:11:15,280 No light will see the human genes within a chromosome. 115 00:11:17,400 --> 00:11:21,518 Next to the X-rays, they can 't be focused. 116 00:11:21,600 --> 00:11:24,592 We cannot build an X-ray microscope. 117 00:11:24,680 --> 00:11:29,674 So we must be content to fire them at the face and get a sort of shadow. 118 00:11:30,480 --> 00:11:33,836 The detail depends now on their penetration. 119 00:11:33,920 --> 00:11:36,559 We see the skull beneath the skin... 120 00:11:37,600 --> 00:11:40,478 ...for example, that the man has lost his teeth. 121 00:11:41,360 --> 00:11:47,117 This probing of the body made X-rays exciting as soon as Rontgen discovered them. 122 00:11:47,200 --> 00:11:52,228 He was the hero who won the first Nobel prize in 1901. 123 00:11:53,280 --> 00:11:57,432 A lucky chance in nature will sometimes let us do more. 124 00:11:57,520 --> 00:12:03,117 We can map the atoms in a crystal because their spacing is regular. 125 00:12:03,200 --> 00:12:06,715 This is the pattern of atoms in the DNA spiral. 126 00:12:06,800 --> 00:12:08,756 This is what a gene is like. 127 00:12:10,160 --> 00:12:14,676 The method was invented in 1912 by von Laue 128 00:12:14,760 --> 00:12:18,389 and was the first proof that atoms are real. 129 00:12:23,400 --> 00:12:25,914 We have one step more: 130 00:12:26,960 --> 00:12:28,837 To the electron microscope... 131 00:12:29,880 --> 00:12:33,919 ...where the rays are so concentrated that we no longer know 132 00:12:34,000 --> 00:12:36,912 whether to call them waves or particles. 133 00:12:37,960 --> 00:12:40,269 Electrons are fired at an object, 134 00:12:40,360 --> 00:12:44,797 and they trace its outline like a knife-thrower at a fair. 135 00:12:46,880 --> 00:12:50,270 This is the smallest object that's ever been seen. 136 00:12:50,360 --> 00:12:52,316 A single atom of thorium. 137 00:12:52,400 --> 00:12:54,311 It's spectacular, 138 00:12:54,400 --> 00:13:00,396 and yet even the hardest electrons do not give a hard outline. 139 00:13:00,480 --> 00:13:05,679 The perfect image is still as remote as the distant stars. 140 00:13:11,480 --> 00:13:15,632 We are here, face to face, with the crucial paradox of knowledge. 141 00:13:16,680 --> 00:13:20,468 Year by year, we devise more precise instruments 142 00:13:20,560 --> 00:13:24,155 with which to observe nature, with more fineness. 143 00:13:25,200 --> 00:13:30,513 And when we look at the observations, they are as uncertain as ever. 144 00:13:31,640 --> 00:13:37,317 We seem to be running after a goal which lurches away from us to infinity, 145 00:13:37,400 --> 00:13:40,073 every time we come within sight of it. 146 00:13:46,840 --> 00:13:51,231 Let me put it in the context of an astronomical observatory. 147 00:13:52,480 --> 00:13:59,431 This is the observatory that was built for Karl Friedrich Gauss in Gottingen. 148 00:14:01,400 --> 00:14:04,790 Throughout his lifetime, and ever since, 149 00:14:04,880 --> 00:14:08,350 astronomical instruments have been improved. 150 00:14:10,080 --> 00:14:12,548 We look at the position of a star 151 00:14:12,640 --> 00:14:18,476 and it seems to us that we are closer and closer to finding it precisely. 152 00:14:20,800 --> 00:14:23,678 But when we compare our individual observations, 153 00:14:23,760 --> 00:14:31,314 we are astonished and chagrined to find them as scattered within themselves as ever. 154 00:14:31,400 --> 00:14:35,029 We had hoped that the human errors would disappear 155 00:14:35,120 --> 00:14:39,511 and that we would ourselves have God's view. 156 00:14:41,240 --> 00:14:45,711 But it turns out that the errors can 't be taken out of the observations. 157 00:14:45,800 --> 00:14:52,239 And that's true of stars or atoms or just looking at somebody's picture, 158 00:14:52,320 --> 00:14:54,959 or hearing the report of somebody's speech. 159 00:14:57,640 --> 00:15:01,076 Gauss recognised that with that... 160 00:15:01,160 --> 00:15:04,914 marvellous, boyish genius that he had, 161 00:15:06,600 --> 00:15:09,717 right up to the age of nearly 80 at which he died. 162 00:15:11,080 --> 00:15:13,036 When he was only 18 years old, 163 00:15:13,120 --> 00:15:16,715 when he came here to Gottingen to enter the university, 164 00:15:16,800 --> 00:15:20,031 he had already solved the problem of the best estimate... 165 00:15:21,480 --> 00:15:25,109 ...of a series of observations which have internal errors. 166 00:15:27,000 --> 00:15:29,468 When an observer looks at a star, 167 00:15:29,560 --> 00:15:32,996 he knows that there's a multitude of causes for error. 168 00:15:33,080 --> 00:15:35,514 So he takes several readings. 169 00:15:35,600 --> 00:15:41,789 And he hopes, naturally, that the best estimate of the star's position is the average - 170 00:15:41,880 --> 00:15:43,836 the centre of the scatter. 171 00:15:43,920 --> 00:15:46,718 So far, so obvious. 172 00:15:46,800 --> 00:15:53,239 But Gauss pushed on to ask what the scatter of the errors tells us. 173 00:15:53,320 --> 00:15:56,278 He devised the Gaussian curve, 174 00:15:56,360 --> 00:16:01,957 in which the scatter is summarised by the deviation or spread of the curve. 175 00:16:02,040 --> 00:16:05,919 And from this came a far-reaching idea. 176 00:16:06,720 --> 00:16:10,349 The scatter marks an area of uncertainty. 177 00:16:10,440 --> 00:16:13,955 We are not sure that the true position is the centre. 178 00:16:14,040 --> 00:16:18,477 All we can say is that it lies in an area of uncertainty. 179 00:16:19,240 --> 00:16:23,631 Gauss was particularly bitter about philosophers 180 00:16:23,720 --> 00:16:29,317 who claimed that they had a road to knowledge more perfect than that of observation. 181 00:16:30,880 --> 00:16:33,838 Of many examples, I will choose one. 182 00:16:35,040 --> 00:16:39,079 It happens that there is a philosopher called Friedrich Hegel, 183 00:16:39,160 --> 00:16:43,517 whom, I must confess, I specifically detest. 184 00:16:44,560 --> 00:16:49,839 And I am happy to share that profound feeling with a far greater man, Gauss. 185 00:16:50,880 --> 00:16:55,237 In 1800, Hegel published a thesis, if you please, 186 00:16:55,320 --> 00:17:00,952 proving that, although the definition of planets had changed since the ancients, 187 00:17:01,040 --> 00:17:04,999 there still could only be, philosophically, seven planets. 188 00:17:07,240 --> 00:17:10,391 Well, not only Gauss knew how to answer that - 189 00:17:10,480 --> 00:17:12,869 Shakespeare had answered that long before. 190 00:17:12,960 --> 00:17:15,235 There is a marvellous passage in King Lear 191 00:17:15,320 --> 00:17:18,471 in which who else but the Fool says to the King... 192 00:17:19,520 --> 00:17:24,992 "The reason why the seven stars are no more than seven is a pretty reason." 193 00:17:25,080 --> 00:17:27,992 And the King wags sagely and says, 194 00:17:28,080 --> 00:17:30,036 "Because they are not eight." 195 00:17:30,120 --> 00:17:35,114 And the Fool says, "Yes, indeed. Thou wouldst make a good fool." 196 00:17:35,200 --> 00:17:37,156 And so did Hegel. 197 00:17:38,040 --> 00:17:40,634 On 1 st January, 1801, 198 00:17:40,720 --> 00:17:44,872 punctually, before the ink was dry on Hegel's dissertation, 199 00:17:44,960 --> 00:17:48,794 the eighth planet, Ceres, was discovered. 200 00:17:52,040 --> 00:17:53,996 History has many ironies. 201 00:17:55,040 --> 00:17:59,750 The time bomb in Gauss's curve is that, after his death, 202 00:17:59,840 --> 00:18:03,037 we discover that there is no God's-eye view. 203 00:18:04,000 --> 00:18:08,790 The errors are inextricably bound up with the nature of human knowledge. 204 00:18:08,880 --> 00:18:14,557 And the irony is that the discovery comes here in Gottingen. 205 00:18:14,640 --> 00:18:18,918 ~ O alte Burschenherrlichkeit 206 00:18:19,400 --> 00:18:23,439 ~ Wohin bist du entschwunden? 207 00:18:24,120 --> 00:18:28,910 ~ Nie kehrst du wieder, goldner Zeit 208 00:18:29,000 --> 00:18:33,357 ~ So froh und ungebunden 209 00:18:34,200 --> 00:18:38,716 ~ Vergebens spahe ich umher 210 00:18:38,800 --> 00:18:44,033 ~ Ich finde deine Spur nicht mehr 211 00:18:44,800 --> 00:18:47,997 ~ O jerum, jerum, jerum... 212 00:18:49,400 --> 00:18:53,359 Ancient university towns are wonderfully alike. 213 00:18:53,440 --> 00:18:55,396 (Bell chimes) 214 00:18:56,440 --> 00:19:01,958 Gottingen is like Cambridge in England or Yale in America: Very provincial, 215 00:19:02,040 --> 00:19:03,996 not on the way to anywhere. 216 00:19:04,080 --> 00:19:08,835 No-one comes to these backwaters except for the company of professors. 217 00:19:08,920 --> 00:19:13,311 And the professors are sure that this is the centre of the world. 218 00:19:13,400 --> 00:19:16,073 There's an inscription in the Ratskeller here: 219 00:19:16,160 --> 00:19:19,630 "Extra Gottingen non est vita." 220 00:19:19,720 --> 00:19:22,393 "Outside Gottingen there is no life." 221 00:19:25,880 --> 00:19:30,351 The symbol of the university is the barefoot goose girl 222 00:19:30,440 --> 00:19:33,910 that every student kisses at graduation. 223 00:19:34,000 --> 00:19:38,152 ~ Gaudeamus igitur 224 00:19:38,240 --> 00:19:42,199 ~ Juvenes dum sumus 225 00:19:42,280 --> 00:19:46,239 ~ Gaudeamus igitur 226 00:19:46,320 --> 00:19:48,834 ~ Juvenes dum sumus... 227 00:19:49,880 --> 00:19:51,677 The university is a Mecca, 228 00:19:51,760 --> 00:19:55,753 to which students come with something less than perfect faith. 229 00:19:55,840 --> 00:20:03,190 It's important that students bring a certain ragamuffin irreverence to their studies. 230 00:20:03,280 --> 00:20:06,636 They're not here to worship what is known, but to question it. 231 00:20:08,760 --> 00:20:10,716 Like every university, 232 00:20:10,800 --> 00:20:16,955 the Gottingen landscape is criss-crossed with long walks that professors take after lunch. 233 00:20:17,040 --> 00:20:20,999 The research students are ecstatic if they're asked along. 234 00:20:27,720 --> 00:20:30,757 Perhaps Gottingen in the past had been rather sleepy. 235 00:20:33,200 --> 00:20:39,196 The small German university towns go back to a time before the country was united, 236 00:20:39,280 --> 00:20:43,114 and this gives them a flavour of local bureaucracy. 237 00:20:43,200 --> 00:20:45,156 Even after 1918, 238 00:20:45,240 --> 00:20:50,155 they were more conformist than universities outside Germany. 239 00:20:50,240 --> 00:20:52,196 (Train whistle) 240 00:20:57,400 --> 00:21:01,279 The link between Gottingen and the outside world was the railway. 241 00:21:16,960 --> 00:21:20,714 That was the way the visitors came from Berlin and abroad, 242 00:21:20,800 --> 00:21:25,954 eager to exchange the new ideas that were racing ahead in physics. 243 00:21:37,400 --> 00:21:43,111 It was a byword in Gottingen that science came to life in the train to Berlin, 244 00:21:43,200 --> 00:21:48,593 because that's where people argued and contradicted and had new ideas, 245 00:21:48,680 --> 00:21:51,399 and had them challenged too. 246 00:22:02,960 --> 00:22:04,916 In the years of the First World War... 247 00:22:06,800 --> 00:22:12,636 ...science was dominated - at Gottingen as elsewhere - by relativity. 248 00:22:13,680 --> 00:22:20,472 But in 1921, there was appointed here Max Born... 249 00:22:21,520 --> 00:22:29,279 ...who began a series of seminars that brought everyone interested in atomic physics here. 250 00:22:31,040 --> 00:22:35,352 It was rather strange. Max Born was almost 40 when he was appointed. 251 00:22:37,160 --> 00:22:40,914 By and large, physicists have done their best work before they're 30, 252 00:22:41,000 --> 00:22:42,956 mathematicians much earlier, 253 00:22:43,040 --> 00:22:44,996 biologists perhaps a little later. 254 00:22:45,840 --> 00:22:52,678 But Born had a remarkable, personal, Socratic gift. 255 00:22:52,760 --> 00:22:55,354 He drew young men to him. 256 00:22:56,840 --> 00:23:01,072 He got the best out of them... 257 00:23:02,320 --> 00:23:07,758 ...and the ideas that he and they exchanged and challenged 258 00:23:07,840 --> 00:23:11,116 also produced his best work. 259 00:23:12,880 --> 00:23:16,873 Out of that wealth of names, whom am I to choose? 260 00:23:18,680 --> 00:23:20,636 Obviously, Werner Heisenberg, 261 00:23:20,720 --> 00:23:25,271 who did his finest work here with Born. 262 00:23:27,480 --> 00:23:34,875 Then, when Erwin Schrodinger published a different form of basic atomic physics... 263 00:23:35,920 --> 00:23:38,388 ...here is where the arguments took place. 264 00:23:38,480 --> 00:23:40,948 And from all over the world, people came here. 265 00:23:41,040 --> 00:23:44,476 It's rather strange to talk in these terms 266 00:23:44,560 --> 00:23:50,078 about a subject which, after all, is done by midnight oil. 267 00:23:51,480 --> 00:23:59,990 Did physics in the 1920s really consist of argument, seminar, discussion, dispute? 268 00:24:01,080 --> 00:24:04,072 Yes, it did. Yes, it still does. 269 00:24:04,760 --> 00:24:06,716 The people who met here, 270 00:24:06,800 --> 00:24:09,951 the people who meet in laboratories still... 271 00:24:11,120 --> 00:24:14,749 ...only end their work with the mathematical formulation. 272 00:24:14,840 --> 00:24:19,550 They begin it by trying to solve the riddles of the subatomic particles, 273 00:24:19,640 --> 00:24:21,596 of the electrons and the rest. 274 00:24:21,680 --> 00:24:25,514 Think of the puzzles that the electron was setting just at that time. 275 00:24:26,400 --> 00:24:29,073 On Mondays, Wednesdays and Fridays, 276 00:24:29,160 --> 00:24:31,310 it would behave like a particle. 277 00:24:31,400 --> 00:24:36,428 On Tuesdays, Thursdays and Saturdays, it would behave like a wave. 278 00:24:36,520 --> 00:24:43,392 How could you match those two aspects brought from the large-scale world 279 00:24:43,480 --> 00:24:45,436 and pushed into a single entity 280 00:24:45,520 --> 00:24:51,550 into this Lilliput Gulliver's Travels world of the inside of the atom? 281 00:24:51,640 --> 00:24:53,517 That's what it was about. 282 00:24:53,600 --> 00:24:59,675 And that requires, not calculation, but insight, imagination, 283 00:25:00,480 --> 00:25:02,436 if you like - metaphysics. 284 00:25:02,520 --> 00:25:07,719 I remember a phrase that Max Born used, when he came to England many years after, 285 00:25:08,400 --> 00:25:11,119 and that still stands, in his autobiography. 286 00:25:11,200 --> 00:25:19,471 He said: "I am now convinced that theoretical physics is actual philosophy." 287 00:25:23,000 --> 00:25:28,996 Max Born meant that the new ideas in physics amount to a different view of reality. 288 00:25:31,320 --> 00:25:36,110 The world is not a fixed, solid array of objects out there. 289 00:25:48,800 --> 00:25:50,756 It shifts under our gaze, 290 00:25:50,840 --> 00:25:52,796 it interacts with us. 291 00:25:52,880 --> 00:25:56,919 The knowledge that it yields has to be interpreted by us. 292 00:26:02,520 --> 00:26:08,629 There is no way of exchanging information that does not demand an act of judgment. 293 00:26:09,760 --> 00:26:11,716 Is the electron a particle? 294 00:26:11,800 --> 00:26:14,712 It behaves like one in the Bohr atom. 295 00:26:17,320 --> 00:26:23,509 But de Broglie, in 1924, produced a beautiful wave model, 296 00:26:23,600 --> 00:26:29,630 in which the orbits are the places where an exact, whole number of waves 297 00:26:29,720 --> 00:26:31,676 closes round the nucleus. 298 00:26:32,480 --> 00:26:34,436 (Steam train) 299 00:26:47,760 --> 00:26:53,153 Max Born thought of a train of electrons as if each were riding on a crankshaft. 300 00:26:53,240 --> 00:26:58,598 So that collectively, they constitute a series of Gaussian curves, 301 00:26:58,680 --> 00:27:00,636 a wave of probability. 302 00:27:08,800 --> 00:27:13,271 A new conception was being made on the train to Berlin 303 00:27:13,360 --> 00:27:16,318 and the professorial walk in the woods of Gottingen. 304 00:27:16,400 --> 00:27:21,349 That, whatever fundamental units the world is put together from, 305 00:27:21,440 --> 00:27:27,151 they are more delicate, more fugitive, more startling 306 00:27:27,240 --> 00:27:31,313 than we catch in the butterfly net of our senses. 307 00:27:35,760 --> 00:27:43,952 All those woodland walks and conversations came to a brilliant climax in 1927. 308 00:27:45,360 --> 00:27:52,436 Early that year, Werner Heisenberg gave a new characterisation of the electron. 309 00:27:53,600 --> 00:27:56,751 "Yes, it is a particle," he said. 310 00:27:56,840 --> 00:28:02,631 "But a particle which yields only limited information." 311 00:28:03,720 --> 00:28:10,432 That is, you can specify where it is at this instant, 312 00:28:11,280 --> 00:28:18,595 but then you cannot impose on it a specific speed and direction at the setting off. 313 00:28:19,680 --> 00:28:22,752 Or conversely, if you insist that you're going to fire it 314 00:28:22,840 --> 00:28:25,957 at a certain speed and in a certain direction, 315 00:28:26,040 --> 00:28:31,717 then you cannot specify exactly what its starting point is, 316 00:28:31,800 --> 00:28:33,995 or, of course, its end point. 317 00:28:35,800 --> 00:28:42,319 That sounds like a very crude characterisation. 318 00:28:42,400 --> 00:28:44,356 It is not. 319 00:28:44,440 --> 00:28:48,718 Heisenberg gave it depth by making it precise. 320 00:28:51,840 --> 00:28:59,030 The information that the electron carries is limited in its totality. 321 00:28:59,920 --> 00:29:01,876 That is, for instance... 322 00:29:03,080 --> 00:29:08,757 ...its speed and its position fit together in such a way... 323 00:29:09,800 --> 00:29:15,989 ...that they are confined by the tolerance of the quantum. 324 00:29:19,480 --> 00:29:21,436 That's a profound idea. 325 00:29:23,280 --> 00:29:27,239 One of the great scientific ideas, not only of the 20th century... 326 00:29:28,280 --> 00:29:33,035 ...but of the history of science. 327 00:29:35,440 --> 00:29:38,512 Heisenberg called this the principle of uncertainty. 328 00:29:40,920 --> 00:29:44,276 In one sense it's a robust principle of the everyday. 329 00:29:44,360 --> 00:29:47,591 We know that we cannot ask the world to be exact. 330 00:29:47,680 --> 00:29:55,075 If an object, a face, had to be exactly the same before we recognised it, 331 00:29:55,160 --> 00:29:59,233 we should never recognise it from one day to the next. 332 00:30:01,520 --> 00:30:10,235 In the act of recognition, a judgment is built in - an area of tolerance or uncertainty. 333 00:30:14,440 --> 00:30:20,276 So, Heisenberg's principle says that no events, not even atomic events, 334 00:30:20,360 --> 00:30:23,636 can be described with certainty - 335 00:30:23,720 --> 00:30:25,711 with zero tolerance. 336 00:30:25,800 --> 00:30:28,314 What makes the principle profound 337 00:30:28,400 --> 00:30:32,791 is that Heisenberg specifies the tolerance that can be reached. 338 00:30:32,880 --> 00:30:37,431 The measuring rod is Max Planck's quantum: 339 00:30:37,880 --> 00:30:39,836 In the world of the atom, 340 00:30:39,920 --> 00:30:44,710 the area of uncertainty is always mapped out by the quantum. 341 00:30:49,480 --> 00:30:53,598 Yet the principle of uncertainty is a bad name. 342 00:30:54,680 --> 00:31:00,550 In science or outside of it, we are not uncertain. 343 00:31:02,440 --> 00:31:09,232 Our knowledge is merely confined within a certain tolerance. 344 00:31:10,760 --> 00:31:14,435 We should call it the principle of tolerance. 345 00:31:15,800 --> 00:31:17,756 First in the engineering sense. 346 00:31:18,720 --> 00:31:21,473 Science has progressed step by step. 347 00:31:21,560 --> 00:31:25,109 The most successful enterprise in the ascent of man, 348 00:31:25,200 --> 00:31:30,320 because it has understood that the exchange of information 349 00:31:30,400 --> 00:31:33,392 between man and nature and man and man 350 00:31:33,480 --> 00:31:37,837 can only take place with a certain tolerance. 351 00:31:39,240 --> 00:31:41,196 But I also use the word... 352 00:31:44,400 --> 00:31:48,552 ...passionately... about the real world. 353 00:31:51,440 --> 00:31:56,514 All knowledge, all information between human beings... 354 00:31:58,000 --> 00:32:04,269 ...can only be exchanged within a play of tolerance. 355 00:32:05,360 --> 00:32:09,717 And that's whether it's in science, or in literature... 356 00:32:10,920 --> 00:32:13,832 ...or in religion, or in politics, 357 00:32:13,920 --> 00:32:18,038 or in any form of thought that aspires to dogma. 358 00:32:21,760 --> 00:32:27,676 It's a major tragedy of my lifetime and yours... 359 00:32:29,040 --> 00:32:32,032 ...that, here in Gottingen... 360 00:32:33,080 --> 00:32:38,438 ...scientists were refining to the most exquisite precision... 361 00:32:39,960 --> 00:32:41,916 ...the principle of tolerance... 362 00:32:44,400 --> 00:32:48,188 ...and turning their backs on the fact that, all around them, 363 00:32:48,280 --> 00:32:55,197 tolerance was crashing to the ground, beyond repair. 364 00:32:56,480 --> 00:32:58,436 (Train whistle) 365 00:33:05,400 --> 00:33:07,356 ~ Alter Jagermarsch 366 00:33:32,560 --> 00:33:35,358 The sky was darkening all over Europe, 367 00:33:35,440 --> 00:33:40,434 but there was one particular cloud which had been hanging over Gottingen for 100 years. 368 00:33:40,520 --> 00:33:42,556 Early in the 1800s, 369 00:33:42,640 --> 00:33:47,873 Johann Friedrich Blumenbach had put together a collection of skulls 370 00:33:47,960 --> 00:33:52,715 that he got from distinguished gentlemen with whom he corresponded all over Europe. 371 00:33:53,760 --> 00:33:56,433 There was no suggestion in Blumenbach's work 372 00:33:56,520 --> 00:34:00,513 that the skulls were to support a racist division of humanity. 373 00:34:01,720 --> 00:34:07,238 All the same, from the time of his death, the collection was added to and added to 374 00:34:07,320 --> 00:34:12,235 and became a core of racist, pan -Germanic theory 375 00:34:12,320 --> 00:34:18,634 which was officially sanctioned by the National Socialist Party when it came to power. 376 00:34:18,720 --> 00:34:20,676 ~ Alter Jagermarsch 377 00:34:35,920 --> 00:34:39,037 When Hitler arrived in 1933, 378 00:34:39,120 --> 00:34:44,877 the tradition of scholarship in Germany was destroyed almost overnight. 379 00:34:51,120 --> 00:34:54,874 Now the train to Berlin was the symbol of flight. 380 00:34:54,960 --> 00:34:56,916 (Train whistle) 381 00:35:03,960 --> 00:35:07,111 Europe was no longer hospitable to the imagination - 382 00:35:07,200 --> 00:35:10,272 and not just the scientific imagination. 383 00:35:11,320 --> 00:35:14,278 A whole conception of culture was in retreat: 384 00:35:14,360 --> 00:35:20,037 The conception that human knowledge is personal and responsible, 385 00:35:20,120 --> 00:35:23,829 an unending adventure at the edge of uncertainty. 386 00:35:24,680 --> 00:35:28,195 Silence fell, as after the trial of Galileo. 387 00:35:28,280 --> 00:35:32,831 The great men went out into a threatened world. 388 00:35:34,720 --> 00:35:36,676 Max Born. 389 00:35:37,800 --> 00:35:39,756 Erwin Schrodinger. 390 00:35:39,840 --> 00:35:41,796 Albert Einstein. 391 00:35:41,880 --> 00:35:43,836 Sigmund Freud. 392 00:35:43,920 --> 00:35:45,672 Thomas Mann. 393 00:35:46,560 --> 00:35:48,357 Bertolt Brecht. 394 00:35:49,760 --> 00:35:51,716 Toscanini. 395 00:35:51,800 --> 00:35:53,756 Bruno Walter. 396 00:35:53,840 --> 00:35:55,796 Chagall. 397 00:35:55,880 --> 00:35:57,836 Enrico Fermi. 398 00:35:58,760 --> 00:36:06,235 Leo Szilard, coming finally after many years to the Salk Institute in California. 399 00:36:19,640 --> 00:36:23,189 The principle of uncertainty fixed once for all 400 00:36:23,280 --> 00:36:28,070 the realisation that all knowledge is limited. 401 00:36:29,160 --> 00:36:34,553 It's an irony of history that, at the very time when this was being worked out, 402 00:36:34,640 --> 00:36:40,112 there should rise, under Hitler in Germany and tyrants elsewhere, 403 00:36:40,200 --> 00:36:42,156 a counter-conception - 404 00:36:42,240 --> 00:36:45,357 a principle of monstrous certainty. 405 00:36:47,360 --> 00:36:49,920 When the future looks back on the 1930s, 406 00:36:50,000 --> 00:36:56,109 it will think of them as a crucial confrontation of culture as I have been expounding it. 407 00:36:56,200 --> 00:37:03,754 The ascent of man, against the throwback of despotic belief, 408 00:37:03,840 --> 00:37:09,073 to the notion that they have absolute certainty. 409 00:37:11,960 --> 00:37:15,669 I must put all those abstractions into concrete terms, 410 00:37:15,760 --> 00:37:19,719 and I want to do so... in one personality: 411 00:37:20,600 --> 00:37:23,558 Leo Szilard, who was greatly engaged in them, 412 00:37:23,640 --> 00:37:29,715 and with whom I spent the last year or so of his life 413 00:37:29,800 --> 00:37:32,872 and many afternoons, talking. 414 00:37:36,120 --> 00:37:40,671 Leo Szilard was a Hungarian whose university life was spent in Germany. 415 00:37:41,720 --> 00:37:46,157 In 1929, he'd published an important and pioneer paper 416 00:37:46,240 --> 00:37:49,038 on what would now be called Information Theory: 417 00:37:49,120 --> 00:37:53,636 The relation between knowledge, nature and man. 418 00:37:55,560 --> 00:38:02,318 But by then, Szilard was certain that Hitler would come to power, that war was inevitable. 419 00:38:02,400 --> 00:38:06,552 He kept two bags packed in his room, and, by 1933, 420 00:38:06,640 --> 00:38:09,552 he'd locked them and taken them to England. 421 00:38:11,160 --> 00:38:14,357 It happened that, in September of 1933, 422 00:38:14,440 --> 00:38:17,750 Lord Rutherford, at the British Association Meeting, 423 00:38:17,840 --> 00:38:23,119 made some remark about atomic energy never becoming real. 424 00:38:25,000 --> 00:38:28,231 Leo Szilard was the kind of scientist, 425 00:38:28,320 --> 00:38:31,915 perhaps just the kind of good-humoured, cranky man, 426 00:38:32,000 --> 00:38:35,197 who disliked any statement that contained the word "never", 427 00:38:35,280 --> 00:38:38,352 particularly when made by a distinguished colleague. 428 00:38:38,440 --> 00:38:41,876 So he set to mind to think about the problem. 429 00:38:44,400 --> 00:38:49,474 He tells the story as all of us who knew him would picture it. 430 00:38:49,560 --> 00:38:53,155 He was living at the Strand Palace Hotel - he loved living in hotels. 431 00:38:54,200 --> 00:38:56,953 He was walking to work at Bart's Hospital, 432 00:38:57,040 --> 00:39:01,272 and as he came to Southampton Row, he was stopped by a red light. 433 00:39:01,360 --> 00:39:04,432 That's the only part of the story I find improbable - 434 00:39:04,520 --> 00:39:06,875 I never knew Szilard to stop for a red light. 435 00:39:06,960 --> 00:39:10,589 However, before the light turned to green... 436 00:39:11,840 --> 00:39:17,551 ...he had realised that if you hit an atom with one neutron 437 00:39:17,640 --> 00:39:20,438 and it happens to break up and release two, 438 00:39:20,520 --> 00:39:24,115 then you would have a chain reaction. 439 00:39:25,160 --> 00:39:31,076 He wrote a specification for a patent which contains the word "chain reaction", 440 00:39:31,160 --> 00:39:33,116 which was filed in 1934. 441 00:39:35,720 --> 00:39:39,315 And now we come to a part of Szilard's personality 442 00:39:39,400 --> 00:39:46,033 which was characteristic of scientists at that time, 443 00:39:46,120 --> 00:39:50,398 but which he expressed most clearly and loudly. 444 00:39:50,480 --> 00:39:53,199 He wanted to keep the patent secret. 445 00:39:53,280 --> 00:39:56,636 He wanted to prevent science from being misused, 446 00:39:56,720 --> 00:40:00,474 and, in fact, he assigned the patent to the British Admiralty 447 00:40:00,560 --> 00:40:03,199 so that it was not published until after the war. 448 00:40:04,240 --> 00:40:07,516 But meanwhile, war was becoming more and more inevitable. 449 00:40:08,360 --> 00:40:13,150 The march of progress in nuclear physics and the march of Hitler 450 00:40:13,240 --> 00:40:18,519 went step by step, pace by pace, in a way that we forget now. 451 00:40:20,120 --> 00:40:23,795 Early in 1939, Szilard wrote to Joliot-Curie, 452 00:40:23,880 --> 00:40:28,431 asking him if one could make a prohibition on publication. 453 00:40:28,520 --> 00:40:30,954 He tried to get Fermi not to publish. 454 00:40:31,040 --> 00:40:34,077 But finally, in August of 1939, 455 00:40:34,160 --> 00:40:39,154 he wrote a letter, which Einstein signed and sent to President Roosevelt, 456 00:40:39,240 --> 00:40:43,472 saying, "Nuclear energy is here. War is inevitable. 457 00:40:43,560 --> 00:40:47,838 It is for the President to decide what scientists should do about it." 458 00:40:50,520 --> 00:40:52,476 But he didn 't stop. 459 00:40:52,560 --> 00:40:55,279 When, in 1945, the war had been won, 460 00:40:55,360 --> 00:41:00,070 and he realised that the bomb was now about to be made 461 00:41:00,160 --> 00:41:01,832 and to be used on the Japanese, 462 00:41:01,920 --> 00:41:04,639 he marshalled protest everywhere he could. 463 00:41:04,720 --> 00:41:07,188 He wrote memorandum after memorandum. 464 00:41:07,280 --> 00:41:11,671 One memorandum to President Roosevelt only failed because Roosevelt died 465 00:41:11,760 --> 00:41:14,638 during the very days that he was transmitting it to him. 466 00:41:14,720 --> 00:41:21,831 Always he wanted the bomb to be tested before the Japanese and an international audience, 467 00:41:21,920 --> 00:41:27,199 so the Japanese should know and should surrender before people died. 468 00:41:29,160 --> 00:41:31,549 As you know, Szilard failed, 469 00:41:31,640 --> 00:41:35,633 and with him, the community of scientists failed. 470 00:41:37,520 --> 00:41:42,355 The first atomic bomb was dropped on Hiroshima in Japan, 471 00:41:42,440 --> 00:41:48,834 on 6th August, 1945, at 8:15 in the morning. 472 00:41:58,520 --> 00:42:00,476 (Ticks) 473 00:43:12,280 --> 00:43:14,236 (Aeroplane engine roars) 474 00:43:23,280 --> 00:43:27,114 I had not been long back from Hiroshima 475 00:43:27,200 --> 00:43:31,273 when I heard someone say, in Szilard's presence... 476 00:43:32,320 --> 00:43:34,675 ...that it was the tragedy of scientists... 477 00:43:35,880 --> 00:43:39,555 ...that their discoveries were used for destruction. 478 00:43:40,720 --> 00:43:45,555 Szilard replied, as he more than anyone else had the right to reply, 479 00:43:45,640 --> 00:43:48,438 that it was not the tragedy of scientists - 480 00:43:48,520 --> 00:43:50,829 it is the tragedy of mankind. 481 00:43:54,560 --> 00:43:56,516 (Barrier creaks) 482 00:44:30,120 --> 00:44:31,951 (Door closes) 483 00:44:32,040 --> 00:44:33,996 (Footsteps) 484 00:44:36,160 --> 00:44:39,470 There are two parts to the human dilemma. 485 00:44:41,800 --> 00:44:45,952 One is the belief that the end justifies the means. 486 00:44:49,720 --> 00:44:56,068 That push-button philosophy, that deliberate deafness to suffering 487 00:44:56,160 --> 00:44:59,277 has become the monster in the war machine. 488 00:45:00,520 --> 00:45:03,353 The other is the betrayal of the human spirit. 489 00:45:04,800 --> 00:45:08,873 The assertion of dogma that closes the mind 490 00:45:08,960 --> 00:45:14,592 and turns a nation, a civilisation, into a regiment of ghosts. 491 00:45:16,240 --> 00:45:20,119 Obedient ghosts or tortured ghosts. 492 00:45:44,960 --> 00:45:48,714 It's said that science will de-humanise people 493 00:45:48,800 --> 00:45:50,756 and turn them into numbers. 494 00:45:50,840 --> 00:45:54,276 That's false. Tragically false. 495 00:45:55,320 --> 00:46:01,111 Look for yourself. This is the concentration camp and crematorium at Auschwitz. 496 00:46:01,200 --> 00:46:03,760 This is where people were turned into numbers. 497 00:46:05,720 --> 00:46:12,239 Into this pond were flushed the ashes of some four million people. 498 00:46:12,320 --> 00:46:14,356 And that was not done by gas. 499 00:46:14,440 --> 00:46:18,638 It was done by arrogance, it was done by dogma, 500 00:46:18,720 --> 00:46:20,676 it was done by ignorance. 501 00:46:22,600 --> 00:46:26,832 When people believe that they have absolute knowledge, 502 00:46:26,920 --> 00:46:30,276 with no test in reality, this is how they behave. 503 00:46:31,520 --> 00:46:36,116 This is what men do when they aspire to the knowledge of gods. 504 00:46:38,200 --> 00:46:41,237 Science is a very human form of knowledge. 505 00:46:41,320 --> 00:46:44,630 We are always at the brink of the known. 506 00:46:45,400 --> 00:46:50,554 We always feel forward for what is to be hoped. 507 00:46:51,560 --> 00:46:57,556 Every judgment in science stands on the edge of error and is personal. 508 00:47:00,240 --> 00:47:07,749 Science is a tribute to what we can know althogh we are fallible. 509 00:47:09,120 --> 00:47:12,032 In the end, the words were said by Oliver Cromwell: 510 00:47:12,120 --> 00:47:16,398 "I beseech you, in the bowels of Christ, 511 00:47:16,480 --> 00:47:19,313 think it possible you may be mistaken." 512 00:47:22,400 --> 00:47:26,109 I owe it as a scientist to my friend, Leo Szilard... 513 00:47:27,160 --> 00:47:31,915 ...I owe it as a human being to the many members of my family who died here, 514 00:47:32,000 --> 00:47:36,232 to stand here as a survivor and a witness. 515 00:47:38,400 --> 00:47:44,396 We have to cure ourselves of the itch for absolute knowledge and power. 516 00:47:45,520 --> 00:47:49,354 We have to close the distance between the... 517 00:47:51,160 --> 00:47:54,994 ...push-button order and the human act. 518 00:47:57,240 --> 00:48:00,357 We have to... touch people.