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Article #393Re: PHOTONS AND CANNONBALLS IN A GRAVITATIONAL FIELD
From: Brad Guth
Date: Mon, 31 May 2010 13:05
Date: Mon, 31 May 2010 13:05
140 lines
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10098 bytes
On May 30, 10:08 pm, Pentcho Valev <pva...@yahoo.com> wrote: > 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/191... > ). 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 > pva...@yahoo.com What is the nonzero mass of a given photon? ~ BG
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X-Google-Thread: a846ae8c3c,9f09428c0d2e19af X-Google-Attributes: gida846ae8c3c,public,usenet X-Google-NewGroupId: yes X-Google-Language: ENGLISH,ASCII Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!v29g2000prb.googlegroups.com!not-for-mail From: Brad Guth <bradguth@gmail.com> Newsgroups: sci.physics.relativity,sci.physics,fr.sci.physique,fr.sci.astrophysique,sci.astro Subject: Re: PHOTONS AND CANNONBALLS IN A GRAVITATIONAL FIELD Date: Mon, 31 May 2010 06:05:32 -0700 (PDT) Organization: http://groups.google.com Lines: 140 Message-ID: <448150af-7241-442e-b54d-c5d36293e499@v29g2000prb.googlegroups.com> References: <ceb60356-8b98-4403-9841-dda34a55f483@s4g2000prh.googlegroups.com> <6e59eae8-a25f-45cf-8ba7-21821e2a8a4d@u20g2000pru.googlegroups.com> <0sWdnUhbJJfl3J_RnZ2dnUVZ_uqdnZ2d@insightbb.com> <92d5f5a8-1fb5-4c15-a83a-d77ceb584655@y18g2000prn.googlegroups.com> <ff4ffd17-75a8-4ba0-b4ef-a2962918b2c6@o4g2000vbo.googlegroups.com> NNTP-Posting-Host: 207.118.32.203 Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: posting.google.com 1275311132 7188 127.0.0.1 (31 May 2010 13:05:32 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Mon, 31 May 2010 13:05:32 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: v29g2000prb.googlegroups.com; posting-host=207.118.32.203; posting-account=nf79RwoAAABXjvy5ztMzmPxgY1WGoktI User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/5.0 (Windows; U; Windows NT 5.1; en-US; rv:1.9.2.3) Gecko/20100401 Firefox/3.6.3 (.NET CLR 3.5.30729),gzip(gfe)