The Formulatfiutme-01.gif (1751 字节)is Untenable to Michelson’s Experiment

Yang Shi-jia
Jingchang Normal School in Gansu Province 737100 china
Email yashijia@163.com


[Abstract] The experiment of Michelson—Morley’s, which is considered one of the few important experiments in physical history , is called 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 enough . Now ,the experiment interests the author and the method of it has been studied carefully for a long time and here comes a discovery — the original algorithm of the experiment includes something wrong : Michelson’s experiment can’t be calculated to the formulatfiutme-01.gif (1751 字节), but tfiutme-02.gif (2074 字节)should be used . In Michelson’s experiment, even though “ether wind ”exists , as the correct algorithm , tfiutme-03.gif (2298 字节),And of course the interfering stripes don’t move, so that the movement of the interfering stripes can’t be observed in the experiment . So,here comes a conclusion , not existing of the “ether wind ” can’t be testified by Michelson’s experiment.

[Key word] Michelson’s experiment calculating mistake not existing of the “ether wind” can’t be testified


Ⅰ The Sufficient and Necessary Condition that the Formula tfiutme-04.gif (2304 字节)is Tenable

    Such as figure one : we can suppose thattfiutme-05.gif (1325 字节), two pointsS1 ,S2 send out the light ray ,which spread to space ,the difference of optical pathtfiutme-06.gif (1162 字节)corresponds to point P , the difference tfiutme-07.gif (1776 字节)correspond to point,tfiutme-09.gif (2117 字节) correspond to different set of points .Only if the number of tfiutme-06.gif (1162 字节) is different, the interfering fringes is different; oppositely, if the interfering fringes is different, the number of tfiutme-06.gif (1162 字节)is different, Such as Young’s experiment. Only in this case, the formula tfiutme-10.gif (2597 字节)is tenable, we get: tfiutme-08.gif (6776 字节)

Conclusion one:the number that the interfering fringes change along with the difference of optical path is equal to the number that transformational number of the difference divided by the wavelength if and only if the relationship between the interfering fringes and the differencetfiutme-06.gif (1162 字节)is in one–to –one correspondence, tfiutme-10.gif (2597 字节)

Ⅱ The Light Route of Michelson’s Experiment is Close

    Michelson’s experiment is different from Young’s experiment, the light route of Michelson’s experiment is close .we may suppose thattfiutme-11.gif (1158 字节),in the experiment.

tfiutme-12.gif (15937 字节)

    Such as the figure two:tfiutme-13.gif (3322 字节)corresponds to point A

    Such as the figure three:tfiutme-14.gif (3418 字节)corresponds to point A also.

    Very obviously, before and after the whole interferometer is turned by 90° in the experiment, tfiutme-15.gif (1464 字节)correspond to the same observational set of point, according to the formula

    tfiutme-16.gif (3338 字节),we know that the average light intensity of the interfering fringes of corresponding totfiutme-17.gif (1662 字节)which shows that the brightness of the interfering fringes is the same .Therefore ,we get :

    Conclusion two: in Michelson’s experiment,tfiutme-18.gif (1213 字节)correspond to the same observational interfering fringes.

    Ⅲ The Difference of Michelson’s Experiment from Young’s Experiment

    According to the preceding part of the text ,in Young ’s experiment, the relationship between the interfering fringes and the difference tfiutme-06.gif (1162 字节)is in one–to –one correspondence; but in Michelson’s experiment, before and after the whole instrument is turned by 90°, the relationship between the differencetfiutme-19.gif (2310 字节),is contrary number , they correspond the same observational interfering fringes. Therefore, the relationship between the interfering fringes and the difference tfiutme-06.gif (1162 字节)isn’t in one–to –one correspondence. So we get:

    Conclusion three: Michelson’s experiment hasn’t the necessary condition for the formula tfiutme-10.gif (2597 字节)tenable.

Ⅳ The Formula tfiutme-10.gif (2597 字节)can’t be used to Calculate Michelson’s Experiment

    According to the conclusion three, Michelson’s experiment hasn’t the necessary condition for the formulatfiutme-10.gif (2597 字节) tenable, therefore, the formula tfiutme-10.gif (2597 字节)is untenable to Michelson’s experiment, in other words, the formula tfiutme-20.gif (1727 字节)is untenable to Michelson’s experiment . So we get:

    Conclusion four: The formulatfiutme-20.gif (1727 字节)is untenable to Michelson’s experiment

Ⅴ The Correct Algorithm of Michelson’s Experiment

    According to the preceding part of the text , in Michelson’s experiment , although the relationship between the interfering fringes and the differencetfiutme-06.gif (1162 字节)isn’t in one–to –one correspondence ,the relationship between the interfering fringes and the absolute value of the difference tfiutme-21.gif (1117 字节)is in one–to –one correspondence ,if and only if the tfiutme-21.gif (1117 字节)changes , the interfering fringes move . So we get:

    Conclusion five: The formula tfiutme-22.gif (2084 字节)is tenable to Michelson’s Experiment

Ⅵ Not Existing of the “Ether Wind” can’t be Testified by Michelson's Experiment.

In Michelson’s experiment,tfiutme-23.gif (1643 字节)

tfiutme-24.gif (6262 字节)

tfiutme-25.gif (1359 字节)substitute it to the formulatfiutme-26.gif (2213 字节),we get:

tfiutme-27.gif (2364 字节)

Therefore, in Michelson’s experiment, even though “ether wind” exists, as the correct algorithm, tfiutme-27.gif (2364 字节). And of course the interfering stripes don’t move, so that the movement of the interfering stripes can’t be observed in the experiment .So we get:
      Conclusion six: not existing of the “ether wind” can’t be testified by Michelson’s experiment.

Ⅶ The Discussion oftfiutme-28.gif (1105 字节)

    Such as the diagram two, we can suppose that the distance from the mirror G to the mirrortfiutme-29.gif (1065 字节)and the distance from the mirror G to the mirror tfiutme-30.gif (1092 字节), then

tfiutme-31.gif (3215 字节)      tfiutme-32.gif (3466 字节)

(Ⅰ) If tfiutme-33.gif (1765 字节), tfiutme-34.gif (4787 字节)then

tfiutme-35.gif (1394 字节), according to the formulatfiutme-26.gif (2213 字节),we get:

tfiutme-36.gif (6192 字节)

(Ⅱ) tfiutme-37.gif (6407 字节)then

tfiutme-38.gif (1480 字节), according to the formula tfiutme-26.gif (2213 字节), we get:

tfiutme-39.gif (7230 字节)

(Ⅲ)tfiutme-40.gif (7316 字节)then

tfiutme-41.gif (1587 字节),according to the formulatfiutme-42.gif (2147 字节), we get:

tfiutme-43.gif (6192 字节)

In Michelson’s experiment,tfiutme-44.gif (1140 字节),but come close sufficiently,if tfiutme-46.gif (3074 字节)

to calculate according to the formula .tfiutme-47.gif (5871 字节)tfiutme-48.gif (1192 字节),therefore, the interfering stripes don’t move basically ,so that the obvious movement of the interfering stripes can’t be observed in the experiment.

    In a word, the “ether wind” can’t be voted by Michelson’s experiment.

    [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 result, there are three thesis: The Formula tfiutme-49.gif (1776 字节), 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 Resources ; Restore the Hypothesis “Ether” to Establish a Model of the Magnetic Field .

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