Inflation was initiate 10^{-35}sec after the quantum fluctuation appearance
of the observable cosmos, and this had a duration of 10^{-30}sec. The
cosmological constant averaged around Λ = 10^{48}m^{-2}. If I divide by the
speed of light squared this comes to 10^{32}s^{-2} and we get √(Λ)T =
10^{2}. This means any spatial region expanded by a factor of 10^{√(Λ)T}
which is large. The natural log of this is 230 and this is not too far off
from the more precise calculation of 60 e-folds. The 60 e-folds is a
phenomenological fit that matches inflation with the observed universe.
How much of the universe is unavailable depends upon whether k = -1, 0 or
1. The furthest out some quantum might emerge and have an influence is for
a Planck scale quantum to now be inflated to the CMB scale. I know I have
gone through this here before, but the result is the furthest we can detect
anything is around 1800 billion light years, which would be a graviton or
quantum black hole that leaves an imprint or signature on the CMB. It is
not possible from theory to know what percentage this is of the entire
shebang, and for k = -1 or 0 it is an infinitesimal part.
LC
On Sunday, March 22, 2020 at 11:55:19 PM UTC-5, Alan Grayson wrote:
>
> According to some cosmologists, Krauss?, the duration of inflation is
> about 10^-35 seconds, which is presumably the duration necessary to create
> isotropy and homogeneity in a universe of age 13.8 BY. If these assumptions
> are correct, can we use them to compute the fraction of the universe which
> is now UN-observable? TIA, AG
>
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