@Poseidon,
equations from
Sphere - Wikipedia, the free encyclopedia
surface area of a sphere
volume of a sphere
ok, so:
Assume that light which has no visible red shift is < 1 r
Assume that light which actually has a visible red shift is > 1 r
So, the volume of stars at a distance of less then 1 r from us is equal to 1 vol.
The volume of stars between 1 r and 2 r ... is 2^3 vol - 1 vol. Which is 7 vol.
So there are 7 times as many stars between 1r and 2r as there are within 1r.
Now assume, the amount of light we receive from each star at a distance of 1r = 1 lig.
The amount of light we receive from each star at 2 ligs is therefor 1/4 of a lig.
We can clearly see that the volume of stars increases to the power of 3,
while the amount of light we receive from each star decreases to the power of 2.
My initial assumption that they would balance is not quite true.
In fact the sum total of red light from distant galaxies is actually increasingly greater than that of nearby galaxies.
This is because the volume of galaxies increases at a greater rate than the amount of light diminishes from each galaxy.
All we have to do now, is find out at what distance the red shift is visibly observable.
(My searches for a simple answer, thus far are fruitless)
So long as r is less than 7 billion light years (half the age-width {time-space} of the universe), we can be assured that there is more than enough light from the red shift to illuminate the moon during the lunar eclipse.
There is considerably more distant red light, than white light from nearby galaxies. I leave it to the physcists to give us the exact answers. Mine are, of course, approximations.
;-j