Is the Gravitational Redshift really a proof for Einsteins General Relativity ?
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One of the last proofs of Einsteins General Theory of Relativity was the
Pound-Rebka experiment cf. http://en.wikipedia.org/wiki/Pound-Rebka_experiment
If take another look we can derive the Gravitational redshift without Einstein. Thus
it cannot in any case be considered a proof for Einstein.
The only facts we need to know is ;
1.The conservation of energy-matter.
2.The potential energy on earth PE=m*g*h (or that of a star G*M/r )
3.The energy of a photon E=h*f.
4.E=m*c^2. (or m=h*f/c^2)
There are no other theories or facts that we need to prove the
gravitational redshift.
To show this we make a thought experiment with Alice and Bob.
Alice and Bill have decided to do something dishonest.
They want to break the first law of physics that prohibits
perpetual motion machines.Alice goes to the bottom of a
mountain and Bill to the top.
Alice will then convert 1kg of water to a laser light and flash
it up to Bob .Bob will then convert this laser light back to
water and let it flow down the mountain.They will then sell the
energy of the flowing water on the black market .
This is obviously wrong.
The reason is that the potential energy of the water must be
subtracted from the energy Bill can get from the light rays.
The energy before must be equals the energy afterwards.
Thus ;
The energy recieved by Bob must be equal to the energy sent by Alice minus
the potential energy contained in the water .We will calculate this for just one
photon.
h*fo=h*fe-(h*fe/c/c)*g*h
This reduces to
fo=fe*(1-g*h/c/c)
This is exactly the result that Einstein obtained . The only difference is that
we have not used any assumptions other than those commonly quoted in
any introductory text book on physics.
For more details see http://uk.groups.yahoo.com/group/DynamicFT
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