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Pound-Rebka revisited
On 27 Aug, 17:36, Dono wrote in
sci.physics.relativity: On Aug 27, 8:18 am, Dono wrote: Looking at a very good paper on Pound-Rebka : http://luth2.obspm.fr/IHP06/lectures...avRedshift.pdf one question comes to mind: why isn't the time dilation between the top and the bottom of the tower taken into calculation? The speeds of the top and bottom of the tower are unequal: omega*R at the bottom vs. omega*(R+H) at the top. So, following the reasoning used by Ashby in his GPS paper (where h is much larger, of course) the authors should have calculated the effect of time dilation. What would that effect have amounted to? Following the calculations showed in wiki he http://en.wikipedia.org/wiki/Proper_..._rotating_disk , one would obtain: dT=dTau/sqrt(1-((omega*R)/c)^2) at the bottom of the tower dT'=dTau/sqrt(1-((omega*(R+h))/c)^2) at the top of the tower So: dT'/dT=sqrt(1-((omega*R)/c)^2)/sqrt(1-((omega*(R+h))/c)^2) Yes? No? Too simplistic? Good enough? Too silly. Zombies should not even mention the rotating disk because "in an accelerated system (like a rotating disk), geometry is INHERENTLY AMBIGUOUS": http://groups.google.ca/group/sci.ph...0c6f27f1d6be1? Master Tom Roberts: "As I keep stressing: in an accelerated system (like a rotating disk), geometry is INHERENTLY AMBIGUOUS. You can get whatever answer you want by defining differently what you mean by "circumference of the rotating disk". Pentcho Valev |
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