On Tuesday, December 25, 2018 at 11:26:14 PM UTC, Brent wrote:
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>
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> On 12/25/2018 8:01 AM, [email protected] <javascript:> wrote:
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> On Tuesday, December 25, 2018 at 1:16:53 PM UTC, John Clark wrote: 
>>
>> On Mon, Dec 24, 2018 at 3:21 PM <[email protected]> wrote:
>>
>> >> You can never prove that any physical quantity is exactly zero, but 
>>>> we do know from observations of the cosmic microwave background radiation 
>>>> that if the universe is curved at all it is by less than one part in 
>>>> 100,000.
>>>>
>>>  
>>
>> *> Agreed. However, IMO the observed universe cannot be flat with exactly 
>>> zero curvature (which I refer to as "mathematically flat) since that would 
>>> imply infinite volume *
>>>
>>
>> If information can't travel faster than light then by definition the 
>> radius of the spherical volume of the universe you can observe can't be 
>> larger than the age of the universe in years times a light year. 
>>  
>>
>>> *> **which contradicts its finite age.*
>>>
>>
>> There is no reason spacetime couldn't extend a finite distance into the 
>> past but an infinite distance into the future. 
>>
>
> *The observable universe could continue to expand forever, but it always 
> has a finite radius. We have no information about the unobserved part, so 
> it could be any size, maybe even tiny. AG*
>
>
> All of those inferences are based on the universe obeying Friedman's 
> equations, i.e. Einstein's equations for a  homogeneous, isotropic 
> universe.  So they are inconsistent with the unobserved part of the 
> universe obeying some other conditions.  Whether there is a solution with 
> the observable patch being different from the unobservable part is an open 
> question.  If you find one, publish it.  But you can't just assume that 
> because there's an unobserved part that it could be anything.
>

*If we don't know anything about the unobservable part of the universe, it 
could obey any conditions; maybe consistent with the Friedman's equations, 
maybe not. I was just saying we can't assume anything. AG*

>
> Brent
>

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