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 <agrays...@gmail.com > <javascript:>> 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 >
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 -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/eaa29128-97c6-4ecc-a9cc-6bf47614d1b2%40googlegroups.com.
