On Sunday, January 19, 2020 at 11:52:18 AM UTC-7, Brent wrote:
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> On 1/18/2020 11:58 PM, 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.
>>>
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>> *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 *
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>> 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.
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> *This seems to modify what you wrote a few day ago. In any event, 
> "empirically" means "measurement", and one cannot measure the curvature as 
> exactly zero, which is what you need to empirically establish flatness. The 
> measurements are very close to zero, but not zero.  AG*
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> When you measure something and it is so close to zero as to be 
> indistinguishable from zero, then taking it to be zero is not an assumption.
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> Brent
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*But it could be HUGELY spherical and seem to be zero! The cases could be 
indistinguishable. What I want to know is this; when you solve using the 
FLRW model, does it give exactly zero for the curvature? TIA, AG *

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