The light beam was split into CW and CCW paths that combined again at the interferometer detector for fringe measurement; the entire apparatus was mounted on a turntable.
Sagnac found that the SoL was c when the speed of the rotor in the lab frame was zero.
But when the rotor’s edge speed was v, the SoL was c +/- v.
When the platform is at rest - left diagram - the CW w1 and CCW w2 beam travel the same distance in the same time. But when the platform spins CW - right diagram - the co-rotating w1 beam travels a greater distance than the counter-rotating w2 beam, in the same time. If the photons were replaced with human runners, the result would be the same - the CCW runner would win the race.
In SR the SoL for either beam is said to be c in either the lab or rotor frame, whether the rotor spins or not.
In the rotor frame , the light beam should see no rotation, because of co-rotation of the whole optical bench… source, mirrors and film are on the turntable. The measurements are being made in the rest frame of the apparatus which is only rotating in the lab frame. Relativity says the SoL should be c, ......
but Sagnac measures SoL = c +/- v…..
The SoL is anisotropic - it is not c in the rotating frame!
The Sagnac model was like coffee stirred by a spoon in the center... the motion spreads out inside the cup.
He considered that the turntable rotation dragged or entrained the aether in the space around it, at the same speed (full dragging) as the rotor, v. The SoL change was due to the motion of the aether in the path of the light beam, either boosting it (+ v) for counter-rotation or reducing it (- v) for co-rotation.
He then concluded that the SoL was independent of the source speed, and that an entrained aether was detected, explaining the unexpected results.... unexpected, that is, to relativists.
Incredible as it may sound, although the SagX had found that counter-rotating light beams travel at c +/- v, relativists actually delude themselves that the Sagnac change in SoL is consistent with SR! Their idol - Einstein himself - chose to ignore the results that contradicted his 1905 paper – even 40 years later he had no adequate response. Einstein was quite aware of Sagnac’s work, but chose to ignore the refutation and hope the Sagnac result would be forgotten. But for its use in optical navigation and GPS, it would be.
Summary - Sagnac analysis of light speed:
Note: SagnacX is first order in v/c.
The Sagnac result in transparent dielectric having index of refraction n is
SoL = c/n +/- v/n2
We simplify the analysis by considering only the fast co-rotating beam, the plus sign, and suppress the factors involving n. (The full expression can be restored at the end.)
So SoL is reduced to Sol = c + v.
RESULTS
Frame: LAB ROTOR
SoL = c + v c + v (for the co-rotating beam)
Note: the lab frame measurement of c + v was not recorded by Sagnac
but reported by Dufour & Prunier in 1938.
Conclusion: light speed is independent of both source and detector speed and
the aether was being dragged along at the speed of the rotor.
1 comments:
The null hypothesis is that, as the author prefers his conceptual model to the rest of the world's experimental results, his wit is diseased.
Post a Comment