On Tuesday, December 25, 2018 at 7:05:10 AM UTC, Jason wrote:
>
>
>
> On Tue, Dec 25, 2018 at 1:53 AM <[email protected] <javascript:>> wrote:
>
>>
>>
>> On Tuesday, December 25, 2018 at 5:57:35 AM UTC, Jason wrote:
>>>
>>>
>>>
>>> On Mon, Dec 24, 2018 at 11:27 PM <[email protected]> wrote:
>>>
>>>>
>>>>
>>>> On Tuesday, December 25, 2018 at 2:13:46 AM UTC, [email protected] 
>>>> wrote:
>>>>>
>>>>>
>>>>>
>>>>> On Tuesday, December 25, 2018 at 12:35:24 AM UTC, Jason wrote:
>>>>>>
>>>>>>
>>>>>>
>>>>>> On Mon, Dec 24, 2018 at 6:28 PM <[email protected]> wrote:
>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> On Monday, December 24, 2018 at 9:47:52 PM UTC, Jason wrote:
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> On Mon, Dec 24, 2018 at 4:04 PM <[email protected]> wrote:
>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> On Monday, December 24, 2018 at 8:25:11 PM UTC, 
>>>>>>>>> [email protected] wrote:
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> On Monday, December 24, 2018 at 6:40:03 AM UTC, Brent wrote:
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> On 12/23/2018 8:22 PM, [email protected] wrote:
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> 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*
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>> It's only impossible if you believe the believe the big bang 
>>>>>>>> occurred only at a point, rather than everywhere.
>>>>>>>>
>>>>>>>> Consider that every point in space sees everything else around it 
>>>>>>>> flying away from it, such that if you rewound time, everything would 
>>>>>>>> return 
>>>>>>>> to a single point centered at that location. But this is true for 
>>>>>>>> every 
>>>>>>>> point in space, so the implication is that the BigBang didn't happen 
>>>>>>>> at one 
>>>>>>>> particular location long in the past, but at every point, including 
>>>>>>>> the 
>>>>>>>> period at the end of this sentence.
>>>>>>>>
>>>>>>>
>>>>>>> *You seem inclined to extreme hypotheses for which there is no data. 
>>>>>>> AG *
>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>> This is the default "standard" model used used by cosmologists, it's 
>>>>>> called the concordance model, or the Lambda-CDM model. There is 
>>>>>> significant 
>>>>>> data for it.
>>>>>>
>>>>>
>>>>> *I don't believe it. AG *
>>>>>
>>>>
>>>> *I mean I don't believe your interpretation of the Concordance model. 
>>>> AG *
>>>>
>>>>>
>>>>>
>>> http://www.universeadventure.org/big_bang/expand-balance.htm
>>>
>>
>> *When the movie is played in reverse, all points converge to a single 
>> point. This is for the observable universe, which is finite in spatial 
>> extent. It can't be infinite if the expansion has been proceeding for 
>> finite time. Outside the observable region, it could be spatially infinite 
>> or just very large. AG*
>>
>>>
>>
> Other points in space belong to different observable universes 
>


*And you have evidence for that? You're way OFF the reservation! Now you're 
claiming the galaxies we observe are in different observable universes. AG*

(they can see different parts of the universe than you or I can see).  If 
> you rewind thing, everything comes to a point (centered on them).  Space 
> isn't expanding into something else, it is just plain expanding.  
>

*I know. The volume of space is increasing. The observable universe is not 
expanding into a pre-existing space, like an explosion, but space is being 
created in the course of the expansion. AG*

Something that is already infinite can still expand e.g. Hilbert's Hotel 
> <https://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel>.
>

*The observable universe is finite, extending out to about 50 BLY's. If you 
imagine being in a different location, the observable universe is the same 
size due to homogeneity and isotropy. Since all points converge to a single 
point, we could say the BB originated from every point in the observable 
universe. AG *

>
> Anyway, you don't have to take "my interpretation" for it. See: 
> https://www.cfa.harvard.edu/seuforum/faq.htm
>
> Did the Universe expand from a point? If so, doesn't the universe have to 
> have an edge?
> No. The Big Bang was not an explosion IN space. It was a process that 
> involved ALL of space. This misconception causes more confusion than any 
> other in cosmology. Unfortunately, many students, teachers, and 
> scientists(!) mistakenly picture the "Big Bang" as an explosion that took 
> place at some location in space, hurtling matter outward.
>
> In reality, ALL of space was filled with energy right from the beginning. 
> There was no center to the expansion, and no magical point from which 
> matter hurtled outward. The confusion arises in part because of the amazing 
> conclusion that the OBSERVABLE portion of the universe was once packed into 
> an incredibly tiny volume. But that primordial pellet of matter and energy 
> was NOT surrounded by empty space... it was surrounded by more matter and 
> energy (which today is beyond the region we can observe.) In fact, if the 
> whole universe is infinitely large now, then it was always infinite, 
> including during the Big Bang as well.
>
> To put it another way, the current evidence indicates only that the early 
> universe - the WHOLE universe - was extremely DENSE - but not necessarily 
> extremely small. Thus the Big Bang took place everywhere in space, not at a 
> particular point in space.
> ^ back to top <https://www.cfa.harvard.edu/seuforum/faq.htm#top>
>
>
> Jason
>

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