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Old December 20th 07, 10:06 PM posted to sci.physics.relativity, sci.physics, sci.astro, fr.sci.physique,fr.sci.maths
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Default CORRECT ANALYSIS OF THE SAGNAC EFFECT

On Dec 20, 4:11 am, Pentcho Valev wrote:
In discussing the Sagnac effect, both relativists and anti-relativists
make the following mistake:

http://www.mathpages.com/rr/s2-07/2-07.htm
"Quantitatively, if we let w denote the angular speed of the loop,
then the circumferential tangent speed of the end point is v = wR, and
the sum of the speeds of the wave front and the receiver at the "end"
point is c-v in the co-rotating direction and c+v in the counter-
rotating direction.....This analysis is perfectly valid in both the
classical and the relativistic contexts."

The values c-v and c+v above are "perfectly valid" only in the
relativistic context. If by "classical" the author means "Newtonian",
the analysis is by no means "perfectly valid". According to an
observer at rest, in the classical context, the speed of light is c+v
in the co-rotating direction and c-v in the counter-rotating direction
so the correct text would be:

"Quantitatively, if we let w denote the angular speed of the loop,
then the circumferential tangent speed of the end point is v = wR, and
the sum of the speeds of the wave front and the receiver at the "end"
point is c in the co-rotating direction and c in the counter-rotating
direction."

Pentcho Valev


Abstract--The famous Fizeau's interferometry experiment
with fowing water is commonly cited as a demonstration
of the velocity transformation in the special relativity.
In this investigation, by taking into account the
modification of the propagation velocity due to the
motion of dielectric medium and the modification of
the propagation length due to the Sagnac effect, an
entirely different interpretation of this experiment
is presented. Physically, the influence of the medium
velocity on the phase velocity is associated with an
effect of the polarization current. Both the medium
velocity and the Sagnac effect depend on earth's rotation,
while its influence on the phase difference
in Fizeau's experiment cancels out substantially.
http://qem.ee.nthu.edu.tw/f3c.pdf


"Always Knowing Precisely How Fast the Earth is Turning"
http://www.zeiss.com/C125716F004E0776/0/DB95426F0494AB1DC125717500445CEE/$File/Innovation_10_18.pdf


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