Speed of light between a source and target moving wrt to each other

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How much experimental evidence is there that the speed of light stays c between a source and target moving wrt to each other?
 
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The idea that the speed of light might depend on the velocity of the source was known as emission theory. It was tested by the Alvager experiment, in which 6 GeV neutral pions were allowed to decay in flight: π0 → γ + γ. The photons were then timed over a flight path of about 30 m, and the result was that the velocity of the photons was within 10-4 of c.
 
Bill_K said:
The idea that the speed of light might depend on the velocity of the source was known as emission theory.

I'm wondering if that might be an over-generalization. Won't emission theory specifically be the case where the velocity of the emitting particle is added to the nominal propagation velocity?

Other theories might exist where the velocity of the source affects the local speed of light without necessarily adding linearly to the nominal propagation velocity c. If such effects are reciprocal in the sink then they may cancel leaving a perceived velocity c (which could indicate a deficiency for physics modeling the perceived effects in comparison to physics modeling the underlying effects).
 
Thread 'Can this experiment break Lorentz symmetry?'

Thread 'Can this experiment break Lorentz symmetry?'

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Thread '1-Way Speed of Light'

Does the speed of light change in a gravitational field depending on whether the direction of travel is parallel to the field, or perpendicular to the field? And is it the same in both directions at each orientation? This question could be answered experimentally to some degree of accuracy. Experiment design: Place two identical clocks A and B on the circumference of a wheel at opposite ends of the diameter of length L. The wheel is positioned upright, i.e., perpendicular to the ground...
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Thread 'A sufficient condition for integrability of equation ##\nabla g=0##'

In Philippe G. Ciarlet's book 'An introduction to differential geometry', He gives the integrability conditions of the differential equations like this: $$ \partial_{i} F_{lj}=L^p_{ij} F_{lp},\,\,\,F_{ij}(x_0)=F^0_{ij}. $$ The integrability conditions for the existence of a global solution ##F_{lj}## is: $$ R^i_{jkl}\equiv\partial_k L^i_{jl}-\partial_l L^i_{jk}+L^h_{jl} L^i_{hk}-L^h_{jk} L^i_{hl}=0 $$ Then from the equation: $$\nabla_b e_a= \Gamma^c_{ab} e_c$$ Using cartesian basis ## e_I...
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