On Saturday, May 23, 2020 at 3:42:49 PM UTC-6, Lawrence Crowell wrote:
>
> On Saturday, May 23, 2020 at 4:32:05 PM UTC-5, Lawrence Crowell wrote:
>>
>> On Friday, May 22, 2020 at 8:30:10 PM UTC-5, Alan Grayson wrote:
>>>
>>>
>>>
>>> On Tuesday, May 19, 2020 at 11:18:15 PM UTC-6, Alan Grayson wrote:
>>>>
>>>>
>>>>
>>>> On Tuesday, May 19, 2020 at 6:26:08 PM UTC-6, Lawrence Crowell wrote:
>>>>>
>>>>> You cannot of course circumnavigate the spatial manifold of the 
>>>>> universe. Anything beyond the cosmological horizon moves away faster than 
>>>>> you can ever catch up. It is a bit like the part in the movie The Shining 
>>>>> with Jack Nicholson where the hotel hallway expanded faster than he could 
>>>>> run. If we could though observe this, say analogous to Jack Nicholson in 
>>>>> the film, there would be optical effects. The spatial manifold could be a 
>>>>> k 
>>>>> = 1 closed or k = -1 hyperbolic or the dodecahedral tessellated universe 
>>>>> of 
>>>>> Poincaré. Yet so far data is not forthcoming.
>>>>>
>>>>> A Planck energy of quanta, say a UV graviton, could have causal 
>>>>> influence on us is it expands to the cosmological horizon or near so. The 
>>>>> B-modes of inflation, which are still being pursued, represent Planck 
>>>>> units 
>>>>> redshifted to some appreciable scale comparable to the cosmological 
>>>>> horizon. This is a z factor z = 10^{10}ly/ℓ_p = 6.3×10^{60}, where taking 
>>>>> the nat-log of this and multiplying by the horizon scale 1.3×10^{10}ly we 
>>>>> get 1.8×10^{12}ly. The furthest out anything can have traversed at the 
>>>>> speed of light to reach is from that distance and from the earliest near 
>>>>> Planck time in the universe. What this means is the source or emitter of 
>>>>> this graviton was early on close to our region and the source is not that 
>>>>> incredible distance away. 
>>>>>
>>>>> LC
>>>>>
>>>>
>>>> Is this estimate reasonable, also from  
>>>>
>>>> https://www.forbes.com/sites/startswithabang/2020/05/19/would-a-long-journey-through-the-universe-bring-us-back-to-our-starting-point/#fe376fef6c50
>>>>
>>>>
>>>> The appearance of different angular sized of fluctuations in the CMB 
>>>> results in different spatial curvature scenarios. Presently, the 
>>>> Universe appears to be flat, but we have only measured down to about the 
>>>> 0.4% level. At a more precise level, we may discover some level of 
>>>> intrinsic curvature, after all, but what we've observed is enough to tell 
>>>> us that if the Universe is curved, it's only curved on scales that are 
>>>> ~(250)^3 times (or more than 15 million times) larger than our 
>>>> presently-observable Universe is.
>>>>
>>>> AG
>>>>
>>>
>>> What I'm asking is whether, based on current measurements, if the 
>>> universe is curved, can we conclude that the universe is *15 million 
>>> times larger* than our presently observable universe? TIA, AG 
>>>
>>
>> Without data there is nothing we can conclude. The spatial surface of the 
>> universe appears to be flat or without curvature that is 300 or so larger 
>> than the cosmological horizon distance. 
>>
>
But the comment in the article I posted claims the unobservable universe is *at 
least 15 million times larger than the observable universe!* That's the 
estimate I am asking about.  Is it unfounded based on the available date? AG

That is about 4 trillion light years, or about 2 times the possible 
>> distance any causal connection from inflation could reach us, Beyond that 
>> we know absolutely nothing. Unless some sensitive optical work is done with 
>> CMB imaging that can push this further we may never know. 
>>
>> In the end physics and observable cosmology is local, and we are 
>> approaching certain limits due to our locality as observers. If we measure 
>> much further out and closer to inflation and the initial quantum event we 
>> will only push out about 1.8 trillion light years. It is unclear if any ray 
>> tracing measurement of gravitons or neutrinos from this earliest moment of 
>> the observable universe. 
>>
>> LC
>>
>
> I watched the following a few days ago that is related to this topic.
>
> LC 
>
> https://youtu.be/e1dOnqCu9pQ
>

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