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Old March 2nd 13, 01:53 PM posted to sci.astro
Pentcho Valev
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Default Special Relativity's Days Are Numbered Aren't They?

Einstein had convinced himself special relativity was wrong within two years of publishing it:

http://discovermagazine.com/2004/sep...ns-lonely-path
Lee Smolin: "Quantum mechanics was not the only theory that bothered Einstein. Few people have appreciated how dissatisfied he was with his own theories of relativity. Special relativity grew out of Einstein's insight that the laws of electromagnetism cannot depend on relative motion and that the speed of light therefore must always be the same, no matter how the source or the observer moves. Among the consequences of that theory are that energy and mass are equivalent (the now-legendary relationship E = mc2) and that time and distance are relative, not absolute. Special relativity was the result of 10 years of intellectual struggle, yet Einstein had convinced himself it was wrong within two years of publishing it. He rejected his own theory, even before most physicists had come to accept it, for reasons that only he cared about. For another 10 years, as others in the world of physics slowly absorbed special relativity, Einstein pursued a lonely path away from it."

"Within two years of publishing" special relativity Einstein realized the speed of light varies with the gravitational potential:

http://www.pitt.edu/~jdnorton/papers...UP_TimesNR.pdf
John Norton: "Already in 1907, a mere two years after the completion of the special theory, he [Einstein] had concluded that the speed of light is variable in the presence of a gravitational field."

It is easy to show that, if the speed of light varies with the gravitational potential, then, relative to the observer, it varies with the speed of the observer:

The top of a tower of height h shoots a bullet downwards with initial speed u. As the bullet reaches the ground, its speed (relative to the ground) is:

u' = u(1 + gh/u^2)

The top of a tower of height h emits a light pulse downwards with initial speed c. As the pulse reaches the ground, its speed (relative to the ground) is:

c' = c(1 + gh/c^2)

Einsteinians admit the validity of and sometimes even deduce the above result:

http://www.youtube.com/watch?v=ixhczNygcWo
"The light is perceived to be falling in a gravitational field just like a mechanical object would. (...) The change in speed of light with change in height is dc/dh=g/c."

Integrating dc/dh=g/c gives:

c' = c(1 + gh/c^2)

Equivalently, in gravitation-free space where a rocket of length h accelerates with acceleration g, a light signal emitted by the front end will be perceived by an observer at the back end to have a speed:

c' = c(1 + gh/c^2) = c + v

where v is the speed the observer has at the moment of reception of the light relative to the emitter at the moment of emission. Clearly, the speed of light varies with the speed of the observer, in violation of special relativity.

Pentcho Valev