Mike2 said:
As the universe expands and disperses, there is less of a gravitational well for photons to climb out of before they reach us. Photons from the early universe must climb out of the gravity well of a more densely populated universe than photons emitted from sources today. Therefore early photons would have to appear more redshifted than later photons since they loose more of their energy by climbing out of a deeper universal gravity well, right?
And the change of the potential that a photon must climb out of would not be linear either? I imagine that there would be less of a change of the potential of the univeral gravity well today than earlier, right? Wouldn't this make it appear as if the emount of redshift is decelerating, or that the universe is accelerating? Thanks.
there is an effect connected with expansion of u
called integrated SachsWolfe
which
adds energy to photons, as they are cruising along through galaxies and clusters of galaxies on their way to us
it seems to operate the opposite of what you say. the expansion of the U actually
blueshifts the photons slightly
Mike I have a hard time picturing the "gravity well" you mean because the expansion of the u has no center. Where is the center of the well, the one you are imagining?
If the density in the early U is uniform and centerless then
a photon would neither be coasting down in or climbing up out
he would just be cruising along on a level field
neither helped nor hindered
the Sachs Wolfe effect happens where the photons path takes him through some accumulation of mass like a cluster of galaxies (which is in the process of expanding)
he gains some energy by coasting into the clump
and then when it is time to continue on out of the clump
he finds that it has dispersed some
and the well associated with the clump is not so deep
so he has picked up a bonus of energy
it doesn't cost as much to get out
as he gained by falling in
in a static situation it costs exactly the same to get out as
you pick up by coasting in---like a dip in the road---so there is no bonus
left over.
the effect of the SW is taken into account when they study the CMB because the CMB photons have had plenty of opportunity to pick up a little bonus here and there
although it is not a big effect percent-wise
I haven't heard of a gravity well effect like the one you describe (tho it has some resemblance to the SW blueshifting) and think it seems to require that the Universe have a center from which it expands---in order for there to be a center of the well---and therefore it would not happen because the expansion has no center.
Putting it perhaps somewhat too intuitively and informally, even in a much denser universe, if the density is uniform the photon is not being "pulled" in any direction, so it is not encumbered by gravitational potential with respect to anything and does not have to fight to go anywhere----so no gravitational redshift.