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Article #5783

Re: Fermat's principle and curved spacetime

#5783
From: Eric Gisse
Date: Sat, 19 Jan 2008 03:37
90 lines
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On Jan 18, 1:35 pm, Koobee Wublee <koobee.wub...@gmail.com> wrote:
> On Jan 18, 1:03 pm, Dieter Heidorn wrote:
>
>
>
> > Pentcho Valev schrieb:
> > > 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 his 1911 work "Über den Einfluss der Schwerkraft auf die Ausbreitung
> > des Lichtes", Annalen der Physik 35 (1911); translated: "On the
> > Influence of Gravitation on the Propagation of Light" Einstein uses the
> > equivalence principle to derive the relation for gravitational red-shift
>
> > nu_1 = nu_2 (1 + V/c^2)
>
> >  From this he concluded that the speed of light must vary according to
>
> > c = c_0 (1 + V/c^2)
>
> > Using this equation Einstein derives a relation for the deflection angle
> > for light passing the sun (1911):
>
> > alpha = 2 GM / (c^2 R)
>
> > This is wrong by a factor 2. Experimentally is found
>
> > alpha = 2 GM / (c^2 R)
>
> You mean the very liberal interpretation of the data from the solar
> eclipse of 1919.  It was already decided to be the following even
> before Eddington set out his quest.
>
> alha = 4 G M / c^2 / R
>
> > > In other words Roberts Roberts, the
> > > equation c'=c(1+V/c^2) is CORRECT, NOT APPROXIMATE:
>
> > This equation is not correct, because it leads to a wrong prediction for
> > the deflection of light.  The reason for the error was: In 1911 Einstein
> > used "curved time" and "flat space", not curved space-time.
>
> The equation is correct for gravitational redshift.  <shrug>
>
>
>
> > > any different
> > > equation (that may seem correct to you) would be inconsistent with the
> > > redshift factor.
>
> > The gravitational red-shift is not caused by a variable speed of light.
>
> > In his 1916 work "Die Grundlage der allgemeinen Relativitätstheorie",
> > Annalen der Physik 49 (1916) Einstein shows:
>
> > * Space-time is described with the metric
>
> >    ds^2 = g_mu,nu dx^mu dx^nu
>
> > * The gravitiational red-shift depends on the metric:
>
> >    nu_B / nu_A = sqrt(g_00(r_A)/g_00(r_B))
>
> > * In weak fields the following approximation holds:
>
> >    nu_B / nu_A = 1 + Delta V/c^2
>
> > * Speed of light:
> >    - In a local inertial frame of reference the speed of light
> >      is constant c
> >    - In general, global coordinates the speed of light varies
> >      (in weak fields) according to
>
> >      c_A = c ( 1 + 2 V/c^2)
>
> This equation will lead to a wrong value of the gravitational
> redshift.  This is another example where GR is contradictory of itself
> because it does not agree with the metric derivation as you have shown
> above.

Another assertion without proof. Do you really expect people to take
you at your word that what you say is true?
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From: Eric Gisse <jowr.pi@gmail.com>
Newsgroups: sci.physics.relativity, sci.physics, sci.astro, fr.sci.physique, 
 fr.sci.maths
Subject: Re: Fermat's principle and curved spacetime
Date: Fri, 18 Jan 2008 19:37:01 -0800 (PST)
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