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Article #1262Re: THE SHORTEST HISTORY OF RELATIVITY
From: Pentcho Valev
Date: Sun, 09 Aug 2009 05:13
Date: Sun, 09 Aug 2009 05:13
32 lines
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3224 bytes
http://www.speed-light.info/speed_of_light_variable.htm "Einstein wrote this paper in 1911 in German (download from: http://www.physik.uni-augsburg.de/annalen/history/einstein-papers/1911_35_898-908.pdf ). It predated the full formal development of general relativity by about four years. You can find an English translation of this paper in the Dover book 'The Principle of Relativity' beginning on page 99; you will find in section 3 of that paper Einstein's derivation of the variable speed of light in a gravitational potential, eqn (3). The result is: c'=c0(1+phi/c^2) where phi is the gravitational potential relative to the point where the speed of light co is measured......You can find a more sophisticated derivation later by Einstein (1955) from the full theory of general relativity in the weak field approximation....For the 1955 results but not in coordinates see page 93, eqn (6.28): c(r)=[1+2phi(r)/c^2]c. Namely the 1955 approximation shows a variation in km/sec twice as much as first predicted in 1911." Sooner or later Einsteiniana's teachers will have to answer the simple question: The gravitational redshift factor 1+phi/c^2 experimentally confirmed by Pound and Rebka is consistent with: (A) Einstein's 1911 equation c'=c(1+phi/c^2) GIVEN BY NEWTON'S EMISSION THEORY OF LIGHT? (B) Einstein's 1955 (in fact, it was devised in 1915) camouflage c'=c (1+2phi/c^2)? Then Einsteiniana's teachers will have to explain why they have been so silent about this simple problem for so long. Pentcho Valev pvalev@yahoo.com
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