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EINSTEIN 1918 CONTRADICTS EINSTEIN 1905



 
 
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Old July 27th 14, 03:18 PM posted to sci.astro
Pentcho Valev
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Default EINSTEIN 1918 CONTRADICTS EINSTEIN 1905

http://www.fourmilab.ch/etexts/einstein/specrel/www/
ON THE ELECTRODYNAMICS OF MOVING BODIES, by A. Einstein, June 30, 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."

This corresponds to "partial process 2" in Einstein's 1918 paper. During it, the stationary clock (U1) "runs indeed at a slower pace" than the moving clock (U2). In 1918 this is "more than compensated" during "partial process 3" (turn-around when the traveller experiences acceleration or "gravitational potential"):

http://en.wikisource.org/wiki/Dialog...f_rela tivity
Dialog about Objections against the Theory of Relativity, 1918, Albert Einstein: "During the partial processes 2 and 4 the clock U1, going at a velocity v [in the system K'], runs indeed at a slower pace than the resting [in the system K'] clock U2. However, this is more than compensated by a faster pace of U1 during partial process 3."

That is, in 1905 the traveller runs slower as it moves from A to B. In 1918 the traveller runs faster as it moves from A to B, "but enough strangeness occurs during the turning-around period" to make the stationary clock end up with more time elapsed:

http://www.people.fas.harvard.edu/~djmorin/chap11.pdf
Introduction to Classical Mechanics With Problems and Solutions, David Morin, Cambridge University Press, Chapter 11, p. 14: "Twin A stays on the earth, while twin B flies quickly to a distant star and back. (...) For the entire outward and return parts of the trip, B does observe A's clock running slow, but enough strangeness occurs during the turning-around period to make A end up older."

Pentcho Valev
 




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