No you can't. The beam always bends in
space-time. Hence the Shapiro delay.
Of course it does. Did you even read my reply ? While c never changes microscopically, it
does change on macroscopic scales. Or are you trying to tell us that glass has the same permittivity and permeability as vacuum ? Are you taking us for fools by saying that glass is in fact vacuum ?
If that were so, then we'd expect to see refraction. Which we don't.
So how would you quantify this relationship ? Why are you avoiding this very simple question ?
Of course we do, because space-time is curved.
No, it's basic high school physics. In glass the values for permittivity and permeability are not the same as in vacuum, resulting in a different phase velocity, and hence in refraction. This is called Snell's law. Hard to believe that you are not aware of even such basic principles !
So let's recap - first you were saying that space must be inhomogeneous in that permittivity and permeability change ( funny though that they are called "fundamental constants"... ); then, pressed for details in the form of a relation between radial coordinate and the above values, you are unable to do so, and instead accuse us of "hiding behind mathematical demands". So all you do is make unsubstantiated assertions, and then refuse to back them up if further questioned - hardly surprising though, since they
can't be backed up. The field equation of GR is a simple relation between the Einstein tensor and the stress-energy-momentum tensor, and it states that these are equal up to a proportionality constant; the point is that the Einstein tensor has no relation whatsoever to either the speed of light, permittivity or permeability of vacuum. Rather, it can be visualized as the average Riemann curvature across a small region of space-time in the immediate neighbourhood of a given point. Again, nothing to do with speeds of light, or imaginary inhomogeneities of space. What you are trying to push here is in no way connected to GR, it is your own little pet theory, and as such does not even belong in the main physics section.
In any case, until such time when you can provide a quantitative relationship between the speed of light and the source of the gravity in the scenario, and furthermore show us that the predictions such a model gives is equivalent to GR's curved space-time, you have exactly
nothing. Accusing others of using "strawman arguments" and then failing to back up such accusations just doesn't cut it, you know.
It was forseeable that you'd say that, because the relation I asked you for does not exist. There is no law of physics which states that the speed of light changes in the vicinity of massive bodies. You just invented this to attempt to back up your own warped view of space-time ( see what I did here
). See above.