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HarryWertM said:What was the density of the universe [matter per unit of space] at the time of the BB?
Harry, when we talk about all getting on the same page it is the standard cosmo model. Everybody should at least know the basics of the standard model, even though people are working on various alternative improvements.
The standard model is based on vintage 1915 non-quantum General Relativity and it breaks down at t=0.
It blows up and gives meaningless answers like "infinite curvature" and the usual thing is when a theory crashes at some point then people don't trust it near that point. At some point as you go back they figure it probably just doesn't match reality---so it has a limited range of applicability.
The breakdown is called a singularity. In the past theories with singularities have been replaced or fixed so as to get rid of the singularity (the word doesn't mean "point" it means mathematical failure).
People are working on quantum versions of Gen Rel that will lead to quantum versions of the cosmo model---that won't have this singularity.
In some of these models one can run a computer sim of conditions leading up to the BB and one can actually say what the max density is, in those models of the universe.
Until those models are tested that is just a number produced by some model. Can't say it is right.
The max density that comes out in a lot of computer runs is about 41% of Planck density.
Planck density = one Planck mass per Planck volume. You can look it up in Wikipedia.
It is an almost inconceivably high density (compared to say water at room temperature and normal atmosphere pressure)
But at least it isn't infinite!
I think gravitational time dilation is where there are two different points at different potential. The observer in the weaker field sees the other guy slowed down. In these BB models the whole universe is very high density. I don't see how you could get two observers into different situations so that time dilation could occur. Anyway, the models of the BB that they run don't have a time dilation effect like what you suggested. Maybe someone else would like to explain more about that. If you want some quantum cosmology links, say. The models where they fix the singularity (but still pretty speculative, work in progress.)
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