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
>

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