1 00:00:06,570 --> 00:00:08,913 MARKUS KLUTE: Welcome back to 8.20, special relativity. 2 00:00:08,913 --> 00:00:10,830 So we're going to continue the discussion that 3 00:00:10,830 --> 00:00:15,180 makes a case against ether when discussing stellar aberration. 4 00:00:15,180 --> 00:00:16,920 So the problem we have in mind here 5 00:00:16,920 --> 00:00:19,470 is the ones where we use a telescope to look 6 00:00:19,470 --> 00:00:21,180 at a distant star. 7 00:00:21,180 --> 00:00:24,000 When we do this, the fact of ether 8 00:00:24,000 --> 00:00:28,320 might change the way we have to orient our telescope. 9 00:00:28,320 --> 00:00:30,010 Let's have a look at this. 10 00:00:30,010 --> 00:00:32,369 So we are in a situation that our hypothesis 11 00:00:32,369 --> 00:00:34,140 is that the ether exists. 12 00:00:34,140 --> 00:00:36,930 This carries-- is the medium in which light travels. 13 00:00:36,930 --> 00:00:39,690 But it's dragged with earth. 14 00:00:39,690 --> 00:00:43,890 So this is our case number one. 15 00:00:43,890 --> 00:00:47,780 In that situation, the telescope looks at the star. 16 00:00:47,780 --> 00:00:51,860 The light of the star enters our telescope at the top 17 00:00:51,860 --> 00:00:54,680 and then tries to go to the bottom. 18 00:00:54,680 --> 00:00:57,750 Because the medium in which the light travels 19 00:00:57,750 --> 00:01:00,980 and the telescope move with the same velocity-- remember, 20 00:01:00,980 --> 00:01:03,020 the ether is dragged with the earth-- 21 00:01:03,020 --> 00:01:08,440 the light appears to go straight down the telescope. 22 00:01:08,440 --> 00:01:10,300 Without the-- [INAUDIBLE] case 2, 23 00:01:10,300 --> 00:01:14,140 without the ether being dragged or even exist, 24 00:01:14,140 --> 00:01:19,090 we actually do have to slightly tilt our telescope. 25 00:01:19,090 --> 00:01:19,920 Why? 26 00:01:19,920 --> 00:01:25,450 Because after the light hits the top of our telescope, 27 00:01:25,450 --> 00:01:27,610 the telescope keeps moving because it's 28 00:01:27,610 --> 00:01:29,290 in a different reference frame. 29 00:01:29,290 --> 00:01:33,130 And therefore, we have to have this slight tilting. 30 00:01:33,130 --> 00:01:36,280 The value of the tilt is equal to velocity 31 00:01:36,280 --> 00:01:40,270 of the Earth over C. 32 00:01:40,270 --> 00:01:45,160 This is a well-known effect in astrophysics and, by the way, 33 00:01:45,160 --> 00:01:51,160 was already studied way earlier by James Bradley in the 1720s. 34 00:01:51,160 --> 00:01:54,520 He actually developed the-- 35 00:01:54,520 --> 00:01:56,470 not really supported theory of light 36 00:01:56,470 --> 00:02:01,540 where he was talking about particle nature of light. 37 00:02:01,540 --> 00:02:04,860 So his idea was very similar to case 2, 38 00:02:04,860 --> 00:02:07,640 that the Earth is moving in a different reference 39 00:02:07,640 --> 00:02:10,139 frame with respect to the star and the sun, 40 00:02:10,139 --> 00:02:11,910 moving around the sun. 41 00:02:11,910 --> 00:02:13,590 And therefore, the tilting angle needs 42 00:02:13,590 --> 00:02:16,800 to be the tangent of the tilting and needs 43 00:02:16,800 --> 00:02:19,260 to be equal to the distance of Earth to the Sun. 44 00:02:19,260 --> 00:02:22,860 And the distance is [INAUDIBLE] this angle is very, very small 45 00:02:22,860 --> 00:02:25,770 because the nearest star [INAUDIBLE] to Earth 46 00:02:25,770 --> 00:02:29,750 is about four light years away. 47 00:02:29,750 --> 00:02:34,960 So with this now, we can again do our ether versus particle 48 00:02:34,960 --> 00:02:38,270 nature model comparison. 49 00:02:38,270 --> 00:02:44,250 So in our first discussion, we concluded clearly 50 00:02:44,250 --> 00:02:49,980 that the wave and ether hypothesis dominates or wins. 51 00:02:49,980 --> 00:02:54,520 But now we have studied at least two further experiments. 52 00:02:54,520 --> 00:02:57,060 So, again, I invite you to stop here and think 53 00:02:57,060 --> 00:03:00,660 about how stellar aberration and Michelson-Morley would 54 00:03:00,660 --> 00:03:04,530 be answers to the particle model or wave model [INAUDIBLE] 55 00:03:04,530 --> 00:03:06,630 explanation. 56 00:03:06,630 --> 00:03:09,090 As a thought experiment, the Fizeau and Airy 57 00:03:09,090 --> 00:03:11,820 experiment that we haven't and did not discuss this here. 58 00:03:14,600 --> 00:03:15,320 All right. 59 00:03:15,320 --> 00:03:19,130 So for stellar aberration, the particle model actually 60 00:03:19,130 --> 00:03:22,580 seems to work, as it was proposed apparently 61 00:03:22,580 --> 00:03:25,260 to solve this very problem. 62 00:03:25,260 --> 00:03:27,080 And the Michelson-Morey experiment 63 00:03:27,080 --> 00:03:29,990 also is consistent with the particle model. 64 00:03:29,990 --> 00:03:33,590 So now we're in this dilemma that some experiments 65 00:03:33,590 --> 00:03:35,870 or experimental evidence for particle 66 00:03:35,870 --> 00:03:41,630 ether nature and some for the particle nature of light. 67 00:03:41,630 --> 00:03:44,830 So the question of how do we get out of the dilemma-- and we'll 68 00:03:44,830 --> 00:03:47,820 discuss this in [INAUDIBLE] the next section.