Article View: sci.physics.relativity
Article #391Re: PHOTONS AND CANNONBALLS IN A GRAVITATIONAL FIELD
From: Pentcho Valev
Date: Mon, 31 May 2010 05:08
Date: Mon, 31 May 2010 05:08
135 lines
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9544 bytes
So the Pound-Rebka experiment is compatible with Divine Albert's Divine Theory only if Divine Albert's Divine Theory says the speed of light varies with the gravitational potential, V, in accordance with the equation c'=c(1+V/c^2), an equation given by Newton's emission theory of light. Divine Albert did say so in 1911 but in 1915 changed his mind and said the speed of light is more variable than that and obeys the equation c'=c(1+2V/c^2), that is, to quote an incredible Einsteinian calling himself Uncle Al, "photons vacuum free fall with twice the acceleration of cannonballs in a given gravitational field": http://www.mathpages.com/rr/s6-01/6-01.htm "In geometrical units we define c_0 = 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. In fact, the general theory of relativity doesn't give any equation for the speed of light at a particular location, because the effect of gravity cannot be represented by a simple scalar field of c values. Instead, the "speed of light" at a each point depends on the direction of the light ray through that point, as well as on the choice of coordinate systems, so we can't generally talk about the value of c at a given point in a non- vanishing gravitational field. However, if we consider just radial light rays near a spherically symmetrical (and non- rotating) mass, and if we agree to use a specific set of coordinates, namely those in which the metric coefficients are independent of t, then we can read a formula analogous to Einstein's 1911 formula directly from the Schwarzschild metric. (...) In the Newtonian limit the classical gravitational potential at a distance r from mass m is phi=-m/r, so if we let c_r = dr/dt denote the radial speed of light in Schwarzschild coordinates, 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." 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." The fact that the Pound-Rebka experiment is incompatible with the equation c'=c(1+2V/c^2) and therefore with the 1915 version of Divine Albert's Divine Theory is never discussed in Einsteiniana. Pentcho Valev wrote: The speed of light and the speed of cannonballs vary with the gravitational potential in exactly the same way. This principle established by Newton's emission theory of light was adopted by Einstein in 1911: 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 "So, faced with this evidence most readers must be wondering why we learn about the importance of the constancy of speed of light. Did Einstein miss this? Sometimes I find out that what's written in our textbooks is just a biased version taken from the original work, so after searching within the original text of the theory of GR by Einstein, I found this quote: "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. Now we might think that as a consequence of this, the special theory of relativity and with it the whole theory of relativity would be laid in the dust. But in reality this is not the case. We can only conclude that the special theory of relativity cannot claim an unlimited domain of validity ; its results hold only so long as we are able to disregard the influences of gravitational fields on the phenomena (e.g. of light)." - Albert Einstein (1879-1955) - The General Theory of Relativity: Chapter 22 - A Few Inferences from the General Principle of Relativity-. 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." In 1960 Pound and Rebka proved experimentally that the gravitational redshift factor is 1+V/c^2: a result that unequivocally confirms the equation c'=c(1+V/c^2) given by Newton's emission theory of light. However in Einsteiniana's schizophrenic world "confirming Newton's emission theory of light" unavoidably becomes "gloriously confirming Divine Albert's Divine Theory". Similarly, in 1887, the Michelson- Morley experiment confirmed the variability of the speed of light as postulated by Newton's emission theory of light but later the same experiment gloriously confirmed the constancy of the speed of light as postulated by Divine Albert's Divine Theory: http://philsci-archive.pitt.edu/archive/00001743/02/Norton.pdf John Norton: "Einstein regarded the Michelson-Morley experiment as evidence for the principle of relativity, whereas later writers almost universally use it as support for the light postulate of special relativity......THE MICHELSON-MORLEY EXPERIMENT IS FULLY COMPATIBLE WITH AN EMISSION THEORY OF LIGHT THAT CONTRADICTS THE LIGHT POSTULATE." Pentcho Valev pvalev@yahoo.com
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