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IS THE SPEED OF LIGHT A CONSTANT IN THE UNIVERSE?
http://juneauempire.com/opinion/2011...einstein-wrong
"If the speed of light is a constant in the universe, as Albert Einstein famously predicted..." Actually he did not predict that. The speed of light varies with the gravitational potential either in accordance with the equation c'=c(1+phi/c^2) given by Newton's emission theory of light or in accordance with the equation c'=c(1+2phi/c^2) given by general relativity: http://www.speed-light.info/speed_of_light_variable.htm "Einstein wrote this paper in 1911 in German. 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." http://www.mathpages.com/rr/s6-01/6-01.htm "Around 1911 Einstein proposed to incorporate gravitation into a modified version of special relativity by allowing the speed of light to vary as a scalar from place to place in Euclidean space as a function of the gravitational potential. This "scalar c field" is remarkably similar to a simple refractive medium, in which the speed of light varies as a function of the density. Fermat's principle of least time can then be applied to define the paths of light rays as geodesics in the spacetime manifold (as discussed in Section 8.4). Specifically, Einstein wrote in 1911 that the speed of light at a place with the gravitational potential phi would be c(1+phi/c^2), where c is the nominal speed of light in the absence of gravity. In geometrical units we define c=1, so Einstein's 1911 formula can be written simply as c'=1+phi. However, this formula for the speed of light (not to mention this whole approach to gravity) turned out to be incorrect, as Einstein realized during the years leading up to 1915 and the completion of the general theory. (...) ...we have c_r =1+2phi, which corresponds to Einstein's 1911 equation, except that we have a factor of 2 instead of 1 on the potential term." CONCLUSION: Light leaving the gravitational field of the emitter continues its journey with speed c' lower than c. The lower the speed of light, the higher the redshift. Pentcho Valev |
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