On Sunday, January 19, 2020 at 10:07:47 PM UTC-7, Alan Grayson wrote:
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> On Sunday, January 19, 2020 at 12:18:54 AM UTC-7, Brent wrote:
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>> On 1/18/2020 10:56 PM, Alan Grayson wrote:
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>> I don't claim anything except that GR has solutions for a cosmos in which 
>>> space is flat and, in that solution, space is infinite and empirically it 
>>> appears that space is flat.
>>>
>>
>> *Measurements don't establish it's flat, as I previously argued. And, as 
>> you previously stated, the sign of k, the parameter in GR intimately 
>> associated with curvature, is folded into the initial conditions. But since 
>> the initial conditions are really unknown, or are speculative, you can 
>> assume initial conditions which satisfy your bias, in this case FLAT. AG *
>>
>>
>> No. It's not an assumption.  Empirically the universe appears flat, which 
>> (assuming the FLRW model)  implies it was always flat.  It is not a 
>> question of assuming an initial condition, it is inferring the initial 
>> condition from present measurements of k.
>>
>> Brent
>>
>
> *If, say, you have a sphere with the diameter of a light year, how far 
> would its measured curvature deviate from zero? I'm suggesting that the 
> deviations from zero might be the same as for a flat universe. But I am 
> still stuck with an spatially infinite start, which most models incorporate 
> IIUC. AG  *
>

*Last sentence above: I mean that if it had a "start" with infinite spatial 
extent, that would seem to mean it did NOT have an infinite spatial extent 
just prior to the start. For me this seems like a singularity, an infinite 
physical process which occurs in zero time. If I were betting, I'd bet on a 
finite closed universe for any universe which "starts", not for the 
Multiverse. AG*

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