- #71
Eyesaw
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Originally posted by ahrkron
Because there are many situations in which the gravitational field is so close to a flat metric (i.e., what you call "non gravity") that the effect of the curvature is extremely small compared to the SR effects.
Pretty much all experimental science works this way: you care for the main effects first, neglecting other things that produce small deviations, and verify that your theory accounts for what you can measure.
You never can take into account all minute distorsions due to all imaginable effects, but that is ok because they usually introduce deviations that are smaller than your experimental precision. Think of any theory with which you are comfortable. Say, thermodynamics. Does it take into account electromagnetic fields? QCD effects? Cosmic rays? radiation pressure? background radioactivity? no, but even when all of these effects are always present, the theory is still valid since it has been proven that the only important quantities are Volume, Pressure and Tempreature (how? by varying these quantities and observing if their correlation with experiment is consistent throughout many experiments, regardless of the values of all the other quantities).
I think Maxwell's equations point out that the speed of light
in vacuum is related to the permitivitty and permeability of the vacuum, and Einstein used his equations to arrive at the constancy of speed of light postulate in SR, no? I would think that permitivitty and permeability are descriptions only
valid for a medium, which for the vacuum was termed the luminiferous ether at the time, so if that is how one obtains the speed of
light as constant, how does Einstein get a constant c without
a medium?
And if in GR, one of the properties of space-time (which is for all purposes a light-speed determining medium except by name), curvature, is dependent on the presence of matter, how can we be sure that space-time can have any properties at all without matter? In SR's imaginary universe without matter then, light may not move at all or it could move at an infinite velocity- who knows? Surely it would depend on the permittivity and permeability of space in that case, anyhow, and if those were 0, can the speed of light still be c?
Basically, I don't think it's appropriate to consider a flat space-time to have any permitivitty and permeability properties since SR denies the existence of a light-carrying medium in its postulate of the constancy of c. The historical relevance of SR was supposed to be its elimination of the necessity for a luminiferous ether, so I'd like to see the correct version of SR right now- one in which the constancy of speed of light was derived without the permittivity and permeability of the vacuum. Anyone who thinks GR is reduced to SR in flat-spacetime has the obligation to
produce Einstein's secret derivation of the constancy of c without Maxwell's equations.
Since I don't believe such a derivation exists, the speed of light in a vacuum then depends on the permitivvity and permeability of the vacuum and can not be a constant if the permittivitty and permeability of the vacuum are variable properties.
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