Re: origin of inertia

From: Ken S. Tucker (dynamics_at_vianet.on.ca)
Date: 03/23/05 

Date: 23 Mar 2005 10:51:58 -0800

Non Ame wrote:

> Tolman writes:
>
> "On the one hand, in accordance with the Schwarzschild line
> element (82.9) and the relation ds = 0 for the trajectory of
> light, we note that the velocity of light originating at the
> surface of the star would be given in terms of coordinates r
> and t by the expression
>
> dr/dt = 1 - 2m/r, (83.26)
>
> which is seen to be independent of the coordinate t. We may hence
> conclude that successive light impulses which are separated by the
> coordinate period delta t when they originate on the surface of
> the star would still be separated by this coordinate period on
> reaching a stationary observer.
>
> On the other hand, we note in accordance with the Schwarzschild
> line element that the proper period delta s for a stationary atom
> and its coordinate period delta t would be connected by
>
> delta s = sqrt(1 - 2m/r) delta t. (83.27)
>
> Hence since the proper period of an atom should be independent of
> its location, and since we have seen above that the coordinate
> period of light is in the present case unaltered by transmission,
> we can now write
>
> (lambda + delta lambda)/lambda = delta t/delta s
>
> = 1/sqrt(1 - 2m/r) approx 1 + m/r (83.28)
>
> for the ratio of the observed wavelengths of light corresponding
> to a given spectral line which originates in the one case at the
> surface of the star at r and in the other case at a great distance
> from the star where the observer himself is located.
>
> In the case of light originating on the surface of the sun this
> should lead to a very small shift towards the red to the extent
>
> delta lambda/lambda = 2.12 x 10^{-6}. (83.29)
>
> In the case of the very dense companion to Sirius, however, the
> shift should be about thirty times as great. In both cases the
> agreement between theory and observation is now satisfactory as a
> result of the work of St John and Adams."

Thanks Non Ame,
That's the page word for word, you certainly
are patient. There's alot of GR on the page,
that connects easily with reality.
Ken S. Tucker

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