On Sunday, January 19, 2020 at 4:46:41 PM UTC-7, Brent wrote:
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> On 1/19/2020 2:44 PM, Alan Grayson wrote:
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> 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.
>>>>
>>>
>>> *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! *
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> That's right it COULD!  But that's not the way to bet and just because it 
> could wrong doesn't make it an assumption.  The whole theory of general 
> relativity not only could be wrong, we in fact know it must be wrong at 
> sufficiently short distances.
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> *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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> Solutions exist for all different curvatures.
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*OK, but what value of curvature does the FLRW model give? AG *

>
> Brent
>

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