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codelieb

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**There is no "Transverse Gravitatonal Redshift"**

There has been a lot of noise on this forum lately about A. Mayer's so-called "Transverse Gravitational Redshift." It is not difficult to prove that no such effect exists, yet I have not seen anyone post a calculation to prove it. I have therefore posted a Mathematica notebook at http://www.feynmanlectures.info/notgr/notgr.nb" showing definitively that there is no "Transverse Gravitational Redshift."

Here is an outline of the calculation:

I consider two inertial frames of reference: a frame co-moving with the rocket at the moment of transmission with origin at the transmitter at the time of transmission ("transmitter's frame"), and a frame co-moving with the rocket at the moment of reception with origin at the receiver at the moment of reception ("receiver's frame"). **I make all calculations in the transmitter's frame.** (One could make the calculations from any inertial frame and get the same result, but the transmitter's frame is convenient for this purpose.) To find the radius vector from the spatial origin of the transmitter's frame to that of the receiver's frame at an arbitrary time, and to find their relative velocity at an arbitrary time I use the formulas for relativistic constant acceleration (see http://math.ucr.edu/home/baez/physics/Relativity/SR/rocket.html" ) to show that that light transmitted from one side of the accelerating rocket at frequency w0 is received at the other side of the rocket at frequency w0 (thus, no redshift).

For those of you who do not have Mathematica, you can download the free Mathematica Player from http://www.wolfram.com/products/player/" , which comes with the Mathematica engine, so you can examine my equations and run the calculations for yourselves.

Mike Gottlieb

Physics Department

California Institute of Technology

http://www.feynmanlectures.info"

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