ct  ct The Formula m  is Untenable in Michelson’s  Experiment Attributed to Yang Shi-jia (1)

Translated by Yulan (2)

(1) Jingchang Normal School, Gansu Province ,737100, China, [email protected] (2) Nickel and Cobalt Research Institute, Jinchuan Group Ltd, Gansu Province ,737102,China, [email protected] [Summary] The experiment of Michelson—Morley’s is considered as the decisive experiment, according which to judge whether “ether wind ” exists or not. Though the experiment has been done repeatedly for many times, it seems that the calculating method of the experiment hasn’t been studied carefully. I am interested in the method of the calculation and have been studied it for a long time then I found that the original algorithm of the experiment is ct  ct ct  ct wrong: Michelson’s experiment can’t be calculated by the formula m  , and m    should be used. In Michelson’s experiment, even if “ether wind” does exists, with the correct algorithm, ct ct m 0 . The interference stripe don’t move, and of course the movement of the interference stripe  can’t be observed in the experiment. So，here comes a conclusion, Michelson’s experiment can not prove the inexistence of “ether wind ”. [Key word] Michelson’s experiment calculating mistake inexistence of the “ether wind” can’t be testified

ⅠSufficient and Necessary Condition of the establishment of Formula ()()rr rr m 21 21 

Shown in figure one: we can suppose that rrrr2112  ,  , two points S1 ， S2 send out the light ray,

which spread to space, ()rr21 corresponds to point P, the

()()rr21 rr 21 correspond to point Prr ; (21 ) and

()rr21 correspond to different set of points. The numeric

values of ()rr21 moves along with interference stripe; oppositely,

interference stripe varies along with the numeric values of ()rr21 , Just as Young’s experiment. Only in this case, the formula

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()()rr rr m 21 21 is tenable, we get:  Conclusion one：The number that interference stripe moves along with the change of the optical path length difference equals to the variable quantity of optical path length difference divided by the

()()rr21 rr 21 wavelength m only when the relationship between interference stripe and optical path  difference ()rr21 is in one–one correspondence. Ⅱ The Light Route of Michelson’s Experiment is Closed Michelson’s experiment is different from Young’s experiment, the light route of Michelson’s experiment is closed. we may suppose that lll12in Michelson’s experiment.

22ll Fig two shows: t  22corresponds to point A, cvc1/ 22cvc(1 / ) 22ll Fig three: t 22  corresponds to point A also. cvc(1 / ) cvc1/ 22 Obviously, before and after the whole interferometer is turned by 90° in the experiment,

ttt and  correspond to the same set of point, and according to the formula

22 2  A1212 AAArr 2cos( 21  )   

we know that the average light intensity of the interference stripe corresponding to tt and are the same, which means that the brightness of the Interference Stripe is the same .Therefore ,we get :

Conclusion two: In Michelson’s experiment, tt and  corresponds to the same observational interference stripe. Ⅲ The Difference between Michelson’s Experiment and Young’s Experiment

Based on the foregoing, in Young ’s experiment, the interference stripe and the difference (r2  r1 ) is in

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one–one correspondence; but in Michelson’s experiment, before and after the whole instrument is turned by 90°, optical path difference c tt and  c , which is opposite number of each other, correspond to the same observational interference stripe. Therefore, the relationship between the interference stripe and the difference

()rr21 isn’t in one–one correspondence. So we get: Conclusion three: Michelson’s experiment doesn’t have the necessary condition for the formula ()()rr rr m 21 21is tenable. 

()()rr rr  Ⅳ The Formula m 21 21can’t be used in Michelson’s Experiment  According to the conclusion three, Michelson’s experiment doesn’t have the necessary condition ()()rr  rr for the formula m 21 21is tenable, therefore, in a other word, the formula 

ct ct m is untenable in Michelson’s experiment. So we get: 

ct  ct Conclusion four: The formula m is untenable to Michelson’s experiment.  Ⅴ The Correct Algorithm for Michelson’s Experiment Based on the foregoing, in Michelson’s experiment, the relationship between the interference stripe and the difference ()rr21 is not one–one correspondence, but the interference stripe and the absolute value of the difference ｜ rr21 ｜is in one–one correspondence, if and only if the｜ rr21 ｜ changes, the interference stripe moves. So we get: ct  ct Conclusion five: The formula m is tenable in Michelson’s Experiment.  Ⅵ Inexistence of the “Ether Wind” can’t be proved by Michelson’s Experiment.

In Michelson’s experiment, lll1211 meter .

22ll  t  22 cvc1/ 22cvc(1 / )

2l 2l t   c(1 v 2 / c 2 ) 2 2 c 1 v / c ct  ct ∴ tt , substitute it into the formula m , we get: 

ct ct m 0 .  III

Therefore, in Michelson’s experiment, even if “ether wind” does exists, with correct calculation, ct ct m 0 . The interference stripe don’t move, so that the movement of interference stripe can’t be  observed in the experiment. So we get: Conclusion six: Inexistence of the “ether wind” can’t be testified by Michelson’s experiment.

Ⅶ The Discussion of ll12

Shown in diagram two, we can suppose that the distance from the mirror G to the mirror M1 isl1 , and the

distance from the mirror G to the mirror M 2 is l2 , then

2l 2l 2l 2l t  1  2 t  1  2 2 2 c(1 v 2 / c 2 ) c(1 v 2 / c 2 ) 2 2 c 1 v / c c 1 v / c llll Ⅰ 22 1212 () If lvcl211/ , 22, 22 then 1/vc221/1/vc vc 1/ vc 22

ct  ct tt0,   0 , according to the formula m , we get:   ct ct ct ct 2(ll12 ) 11 m    22 1/ vc221/ vc l llll Ⅱ 1 ， 1212 () If l2  22, 22 then 1/ vc22 1/vc221/1/vc vc 1/ vc 22

ct  ct tt0,   0 , according to the formula m , we get:   ct ct ct() ct ct   ct  2(ll12 )  1 1 m   22  1/ vc 1/ vc22 1 llll Ⅲ 22 2121 () If 1/vcll12 l 1, 22, 22 1/ vc22 1/vc1/vc22 1/ vc 22 1/ vc

ct  ct then tt0,   0 , according to the formula m , we get:   ct ct ct ct  2(ll21 ) 11 m  22  1/ vc 1/ vc22

22 1 In Michelson’s experiment, ifll12 , but come close sufficiently, if 1/vcll12 l 1, 1/ vc22 to calculate according to the formula

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ct ct ct ct 2(ll21 ) 11 m  22  , m 0 , therefore, the 1/ vc 1/ vc22 interference stripe don’t move basically, so that the obvious movement of the interference stripe can’t be observed in the experiment. In a word, the “ether wind” can’t be denied by Michelson’s experiment. References [1] Zhang yuan-zhong, Experimental Basis of the special Theory of Relativity Scientific Publishing House, 1994， 24-28 61-65 99-101. [2] Ni Guangjiong, Li Hongfang, Modern Physics, Shanghai Science and Technology Press, 1979.8. [3] Yao Qijun, A Course in Photics, East China Normal University, People’s Education Press, 1981.6. [4] Zhao Zhanyue, Relativistic guidance, Jilin People’s Publishing House 1982.3. [5] Zhou Dunzhong, Optics, Lanzhou University Press, 1988. [6] Cai Bolian, Special Relativity, Higher Education Press, 1991. [7] Zhang Zongsui, Electrodynamics and special theory of relativity, Beijing University Press , 2004. [8] Zhao Kaihua, Optics, Higher Education Press,2004. [9] Ma Hongliang, Modern Physics Experiment, Shanghai University Publishing House，2005. [10] Xiong Jun, Modern Physics Experiment, Beijing Normal University Press, 2007. [11] Huang Zhixun, Research and Argue about Special Theory of Relativity, http://www.bjxdl.net/ [12] Li Zifeng,Persist in Space-Time and Mass-Energy Views of Materialismw,http://blog.sina.com.cn/u/1459595284 [13] Gu Mengjie, Going out Fog __ Reveal Einstein’s Action Misinterpreting Light Velocity and Disturbing Physics World, Matter Regularity No2 , 2009, 8-21. [14] Yu Benli, Recovery of the Ether and Negation of the Theory of Relativity, Matter Regularity No2, 2009 ,54-55. [15] Yu Benli, Demonstration of the Light Velocity Being Not Equal to a Constant, Matter Regularity No4 ,2009 ,1-3. [16] Li Yunfeng, The Error of the Theory of Relativity, Matter Regularity No4, 2009 ,6-10. [17] Dong Shugong, Dong Shengwei, Review the Theory of Relativity, Matter Regularity No1, 2010, 24-31. [18] I Newton, Mathematical Principles of Natural Philosophy, Translated by Wang kedie, Beijing University Press, 2006. [19] A Einstein, On the Electrodynamics of Moving Bodies, Translated by Fan Dainian, Zhao Zhongli, Xu Liangying. [20] Huang Demin, On the Essence of Physical Phenomenon–Matter Effect Study Challenges Relativity, Shanxi Science and Technology Publishing House, 2001. [21] Qi Ji, New Physics, Publishing House of Northeast Forestry University, 2003. [22] Wang Yaping, Analysis on Theory of Relativity , Hei Longjiang Technology Press, 2008. [23] Ma Qingping, Self-Consistency about the Theory of Relativity, Shanghai Science and Technology Press, 2004. [24] A Einstein, Relativity: the Special and General Theory, Translated by Yang Runyan, Shanghai Science and Technology Press, 1964. [25] Fu Yihua, A Brief Introduction on China’s Studying and Challenging Relativity at Present, The Third Annual Conference of Beijing’s Relativity Study Sodality, Beijing, 2005. [26] The fifth Annual Collection of Beijing Relativity Study Sodality, Beijing, 2009.8. [27] Discussing Corpus on Relativity and Modern Physics Innovation International Conference, Xian, 2003. [28] Li Zifeng, Special Relativity Being from Misunderstanding of Principle of Constant Speed of Light Finding, 2005, Supplement, 128-132.

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[29] Cheng Wenping, Puzzle-Solving of the Theory of Relativity ,http://www.dyntm.com/jkxdl.htm [30] Li Yinghua, Time to see Throw The Emperor’s New Suit , http://www.dyntm.com/hdenwy.htm [31] Qi Xin, Wiser than Einstein, http://www.eshunet .com. (Electronic Books). [32] http://www.bjxdl.net/ [33] http://www.dyntm.com [34] http://www.physicswd.com [35] http://club.xilu.com/hongbin/ [36] Hua De, Mechanics with Variable Speed of Light: Einstein Is Wrong (Electronic Books ). [37] Shi Tianzhi, Mistakes in Michelson’s Experiment, http://www.tzxdl.com.cn/ [38] Su Zhonglin, The Truth about the Zero Result of Michelson-Morley Experiment Has Come to Light, New Science and Technology No11, 2008, 42-44. [A Brief Introduction of the Author] A male senior instructor, who was born in February 1963, has been studying the theory of relativity since 1980, and find out some problems of the experimental basis and mathematical logic of the theory of relativity. And about the research ct  ct result, there are six important thesis: The Formula m is Untenable to  Michelson’s Experiment; Restore the Hypothesis “Ether” to Explain the Two Different Types of Dual Property of Wave and Particle from Different Sources; Restore the Hypothesis “Ether” to Establish a Model of the Magnetic Field ; The Research about a Moving Magnet can’t Drive the Magnetic Field; Query Einstein’s Explanation of Two Experimental Results; Substance Analysis. I was awarded the Challenge Prize of Relativity by Beijing Relativity Theory Research Federation, Hoff Lu Research Institute of Matter Regularity, Editorial Committee of Matter Regularity in December in 2008.

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