My equation to model the expansion of the universe

[Derick]

I'm not sure but I don't think it's constant, especially during inflationary epochs.

Duely noted, BUT, the reason I suggest distance as a substitute is not because it fits best but because it will be the easiest to work with. We cant get even close to accurite enough with time. So, using a distance average I believe we can get the closest to correct result.

On the subject of the dark matter debate, we are not to sure of the nature of dark matter yet so it would be near impossible to factor it in correctly.

This is however just my opinion.