On Thursday, October 3, 2019 at 7:05:12 PM UTC-6, Lawrence Crowell wrote: > > On Thursday, October 3, 2019 at 8:01:49 PM UTC-5, Lawrence Crowell wrote: >> >> On Thursday, October 3, 2019 at 6:59:35 PM UTC-5, Bruce wrote: >>> >>> On Fri, Oct 4, 2019 at 9:54 AM Alan Grayson <[email protected]> wrote: >>> >>>> >>>> ISTM, that the argument the universe was NOT in thermo equilibrium just >>>> before inflation is alleged to have begun, is extremely WEAK. Thus, it's >>>> illogical to claim that inflation "smooths out" the alleged NON thermo >>>> equiiibrium just before inflation begun. AG >>>> >>> >>> That is essentially what I said. Lawrence is just replacing one set of >>> unknown initial conditions with another, equally unjustified, set. >>> >>> Bruce >>> >> > In below & means δ. I forgot to replace them. > > LC > > >> >> The entropy is S = A/4ℓ_p^2 + quantum corrections, where these >> corrections are ~ (&S/&h^a)k^a. Here h^a is tangent to the horizon and k^a >> is normal. This condition coincident on a null surface can appear on a >> quantum extremal surface with null tangent g^s so that (&S/&h^a)k^a ≥ >> (&S/&g^a)k^a by subadditivity. However, this surface occurs inside the >> cosmological horizon. This means there is no equilibriium. Equilibrium is >> only approximated by stretching the horizon out to enormous distance after >> the spatial surface has inflated. >> >> It is the case that inflation does not tell us the whole story prior to >> inflation. So one can say there are equally unknown initial conditions. >> However, the details of those are less important as the spatial manifold is >> stretched out. That means inflation does provide at least a working system. >> >> LC >> > Assuming the universe was incredibly tiny prior to inflation, and was therefore causally connected, isn't it reasonable to assume that it had reached thermo equilibrium *prior* to the onset of inflation? AG
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