That is a touchy subject with some members, but I agree with the changing speed of light in our Big Bang arena over the ~14 billion years,
That does not change the fact that the speed of light in any local frame, in any time period will always be "c"
But note carefully, light/photons were literally bouncing around, being absorbed, reemitted leaving the Universe as opaque for at least 380,000 years, or until temperatures had dropped enough for electrons to couple with atomic nucleii.
[I may be open for correction with that terminology, and would ask anyone more knowledgable for a better description?]
and I would think that the rate that clocks would tick (show time passing, if you will permit that phrase) would have changed significantly over that same time period, and maybe in several epics.
Certainly. The closer we go back to t+10-43 seconds, the higher was the energy density, and the more curved was spacetime and consequently the more time dilation was in effect.
The energy density at t=10^-43 must have been near natures maximum, and as superlumninal expansion or inflation occurred, the density must have decreased proportionally.
The superluminal expansion was the period we call Inflation.
You can equate that decline in density with a flattening of the curvature of spacetime, and that would make the transformations between frames come out with less dialtion as time passes on the ~14 billion year clock, I think.
Correct, and the speed of light still would have been "c" although this was still during the Opaque phase, and before the recombination era.
I personally equate the decline in density due to expansion with a decrease in the gravitational wave energy density of the medium of space. As our high energy density home big bang arena expands into the surrounding low energy density space of the greater universe,
That is wrong according to the BB.
The BB was an evolution of space and time [as we know them] It says nothing about before t+10-43 seconds. So there was no arena to expand into, and no less energy density to apply.
The only difference was when the superforce started to decouple and phase transitions were created within spacetime/Universe and false vacuums.
This lead to excesses of energy and our first fundamental particles.
I would expect to get the same change in the tick rate of clocks now vs. back then as one would expect when invoking curved spacetime.
Time dilation. But please note, time dilation, length contraction, and any variation in the speed of light are only obvious from another FoR.
From the local frame, all appears as normal.
I think you bring that up as a reference to Farsight's words about tautology explaining the different speed of light at the ceiling vs. at the floor. Technically, until the experiments give us a new means to quantify the speed of light against some new constant or something, Farsight's explanation still seems appropriate.
Farsight's explanations are amiss in that he refuses to concede that the speed of light is always "c"from any local frame.
As Only Me [I think] explained earlier, I, at the top of the ceiling, measure my speed of light at the top of the ceiling to be "c"
You, on the floor, measure your speed of light to be "c" on the floor.
I would like PhysBang to elaborate a bit on his statement though, as I don't believe it to be clear enough.