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Article #5817

Re: Fermat's principle and curved spacetime

#5817
From: Pentcho Valev
Date: Fri, 18 Jan 2008 07:03
69 lines
5490 bytes
On Jan 18, 6:37 am, Tom Roberts <tjroberts...@sbcglobal.net> wrote in
sci.physics.relativity:
> Albertito wrote:
> > Then, why did Einstein propose a local speed of light as
> > c'= c(1 + V/c2)?
>
> Because he was struggling to find General Relativity, but had not yet
> figured out all the details. His intermediate formula is approximate,
> but not correct. When he proposed it he did not fully understand the
> difference between local and non-local phenomena.
>
> Tom Roberts

Roberts Roberts, Einstein's 1911 equation c'=c(1+V/c^2) is consistent
with the gravitational redshift factor 1+V/c^2 confirmed
experimentally by Pound and Rebka. In other words Roberts Roberts, the
equation c'=c(1+V/c^2) is CORRECT, NOT APPROXIMATE: any different
equation (that may seem correct to you) would be inconsistent with the
redshift factor. For that reason Roberts Roberts superior brothers in
Einstein criminal cult have always been teaching that the speed of
light varies with the gravitational potential, in accordance with
Einstein's 1911 equation c'=c(1+V/c^2):

http://www.physlink.com/Education/AskExperts/ae13.cfm
"So, it is absolutely true that the speed of light is _not_ constant
in a gravitational field [which, by the equivalence principle, applies
as well to accelerating (non-inertial) frames of reference]. If this
were not so, there would be no bending of light by the gravitational
field of stars....Indeed, this is exactly how Einstein did the
calculation in: 'On the Influence of Gravitation on the Propagation of
Light,' Annalen der Physik, 35, 1911. which predated the full formal
development of general relativity by about four years. This paper is
widely available in English. You can find a copy beginning on page 99
of the Dover book 'The Principle of Relativity.' 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 + V / c^2 )
where V is the gravitational potential relative to the point where the
speed of light c0 is measured."

http://www.blazelabs.com/f-g-gcont.asp "The first confirmation of a
long range variation in the speed of light travelling in space came in
1964. Irwin Shapiro, it seems, was the first to make use of a
previously forgotten facet of general relativity theory -- that the
speed of light is reduced when it passes through a gravitational
field....Faced with this evidence, Einstein stated:"In the second
place our result shows that, according to the general theory of
relativity, the law of the constancy of the velocity of light in
vacuo, which constitutes one of the two fundamental assumptions in the
special theory of relativity and to which we have already frequently
referred, cannot claim any unlimited validity. A curvature of rays of
light can only take place when the velocity of propagation of light
varies with position."......Today we find that since the Special
Theory of Relativity unfortunately became part of the so called
mainstream science, it is considered a sacrilege to even suggest that
the speed of light be anything other than a constant. This is somewhat
surprising since even Einstein himself suggested in a paper "On the
Influence of Gravitation on the Propagation of Light," Annalen der
Physik, 35, 1911, that the speed of light might vary with the
gravitational potential. Indeed, the variation of the speed of light
in a vacuum or space is explicitly shown in Einstein's calculation for
the angle at which light should bend upon the influence of gravity.
One can find his calculation in his paper. The result is c'=c(1+V/c^2)
where V is the gravitational potential relative to the point where the
measurement is taken. 1+V/c^2 is also known as the GRAVITATIONAL
REDSHIFT FACTOR."

Pentcho Valev
pvalev@yahoo.com
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From: Pentcho Valev <pvalev@yahoo.com>
Newsgroups: sci.physics.relativity, sci.physics, sci.astro, fr.sci.physique, 
 fr.sci.maths
Subject: Re: Fermat's principle and curved spacetime
Date: Thu, 17 Jan 2008 23:03:25 -0800 (PST)
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