Re: photon in uniform gravity (??)
- From: cyberkatru@xxxxxxxxx
- Date: Fri, 8 Dec 2006 20:44:54 +0000 (UTC)
Igor Khavkine wrote:
I'm not completely certain which argument you refer to,
Igor
The particular version I have on hand is in James Callahan's book "The
Geometry of Spacetime". It is in chapter 4 in a section called "A basic
incompatibility".
His version is supposed to work as long as the there is potential
difference (true even force an idealized linear potential--unlike the
earth). It is just an "mgh" argument.
I have seen another similar version that is posits a machine that sends
a photon from a potenital mgh_1 to mgh_2 (higher) at which point it is
converted to mass and then reemmited downward and absorbed at the
original point and then repeated. This creates a parallelogram in
spacetime and then redshift energy arguments are used to show that the
top of the parallelogram is shorter than the botton implying curvature.
I can't remember where I saw that one but I will look around.
I his book, Callahan also derives "curvature effects" by considering
rotating frames being compared with a fiducial intertial frames long
before he gets to general relativity and seems to still be in the
context of special relativity. If by inertial frame he means what I
think he means then it seems we have curvature in one frame but not in
another--that's no good!
.
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