On Monday, December 24, 2018 at 10:42:10 PM UTC, Brent wrote:
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>
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> On 12/24/2018 1:04 PM, [email protected] <javascript:> wrote:
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> On Monday, December 24, 2018 at 8:25:11 PM UTC, [email protected] 
> wrote: 
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>> On Monday, December 24, 2018 at 6:40:03 AM UTC, Brent wrote: 
>>>
>>>
>>>
>>> On 12/23/2018 8:22 PM, [email protected] wrote:
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>>>
>>> On Monday, December 24, 2018 at 3:50:33 AM UTC, Brent wrote: 
>>>>
>>>>
>>>>
>>>> On 12/23/2018 4:47 PM, [email protected] wrote:
>>>>
>>>> *If by "flat", you mean mathematically flat, like a plane extending 
>>>> infinitely in all directions, as opposed to asymptotically flat like a 
>>>> huge 
>>>> and expanding sphere,  you have to reconcile an infinitesimally tiny 
>>>> universe at the time of the BB, and simultaneously an infinitely large 
>>>> universe extending infinitely in all directions. AG*
>>>>
>>>>
>>>> All that's "infinitesimally tiny" is the visible universe.  You must 
>>>> know that the Friedmann equation just defines the dynamics of a scale 
>>>> factor, not a size.
>>>>
>>>
>>> *Are you claiming the visible universe at the BB was infinitesimally 
>>> tiny, but the non visible part was infinitely large (mathematically flat), 
>>> or huge (asymptotically flat)? AG *
>>>
>>>
>>> Right.  Although we can't be sure whether it is actually flat or just 
>>> very big.
>>>
>>> Brent
>>>
>>
>> *OK. Agreed. We seemed to disagree on this in the past, but maybe we 
>> miscommunicated. AG*
>>
>
> Here's what Ned Wright wrote. 
>
> Is the Universe really infinite or just really big? 
>
> We have observations that say that the radius of curvature of the Universe 
> is bigger than 70 billion light years. But the observations allow for 
> either a positive or negative curvature, and this range includes the flat 
> Universe with infinite radius of curvature. The negatively curved space is 
> also infinite in volume even though it is curved. So we know empirically 
> that the volume of the Universe is more than 20 times bigger than volume of 
> the observable Universe. Since we can only look at small piece of an object 
> that has a large radius of curvature, it looks flat. The simplest 
> mathematical model for computing the observed properties of the Universe is 
> then flat Euclidean space. This model is infinite, but what we know about 
> the Universe is that it is really big 
> <http://www.astro.ucla.edu/~wright/HGTTG.html>.
>
>
> <http://www.astro.ucla.edu/~wright/cosmology_faq.html#top>
>
> *It is misleading. He's referring to the VISIBLE universe and concludes it 
> might be infinite in spatial extent. Impossible due to its finite age. I 
> wrote him about this, but never received a reply.  AG*
>
>
> Why don't you look at his web tutorial.  He does not conclude the 
> *visible* universe might be infinite.
>

*From the statement above, due to poor use of language, it seems he 
concludes the visible universe might be infinite.  I didn't see that 
corrected anywhere in his tutorial, but I didn't read it in its entirety. 
AG*

>
> Brent
>

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