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Einstein's Special Relativity Does Not Remove Newton's Absolute Time



 
 
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Old April 23rd 17, 10:26 AM posted to sci.astro
Pentcho Valev
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Default Einstein's Special Relativity Does Not Remove Newton's Absolute Time

In 1905 Einstein deduced, from his two postulates, that "the clock moved from A to B lags behind the other which has remained at B":

http://www.fourmilab.ch/etexts/einstein/specrel/www/
Albert Einstein, ON THE ECTRODYNAMICS OF MOVING BODIES, 1905: "From this there ensues the following peculiar consequence. If at the points A and B of K there are stationary clocks which, viewed in the stationary system, are synchronous; and if the clock at A is moved with the velocity v along the line AB to B, then on its arrival at B the two clocks no longer synchronize, but the clock moved from A to B lags behind the other which has remained at B by tv^2/2c^2 (up to magnitudes of fourth and higher order), t being the time occupied in the journey from A to B."

Actually the conclusion

"The clock moved from A to B lags behind the other which has remained at B"

does not follow from Einstein's 1905 postulates (the argument is invalid). The following two conclusions, in contrast, VALIDLY follow from the postulates:

Conclusion 1: The clock moved from A to B lags behind the other which has remained at B, as judged from the stationary system.

Conclusion 2: The clock which has remained at B lags behind the clock moved from A to B, as judged from the moving system.

Newton's theory says that, as the two clocks meet at B, they will show the same time. Conclusions 1 contradicts this, Conclusion 2 also contradicts this, but the combination of Conclusion 1 and Conclusion 2 no longer contradicts the Newtonian prediction because this combination says nothing about the readings of the two clocks as they meet at B.

Einstein's conclusion

"The clock moved from A to B lags behind the other which has remained at B"

does contradict the Newtonian prediction but this conclusion is invalidly deduced (does not follow from the postulates).

So, if logic is obeyed, Einstein's special relativity is unable to remove Newton's absolute time.

Pentcho Valev
 




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