On Friday, August 23, 2019 at 5:48:13 PM UTC-5, Alan Grayson wrote:
>
>
>
> On Friday, August 23, 2019 at 3:31:36 PM UTC-6, Lawrence Crowell wrote:
>>
>> On Thursday, August 22, 2019 at 12:37:40 AM UTC-5, Alan Grayson wrote:
>>>
>>>
>>>
>>> On Wednesday, August 21, 2019 at 7:12:14 PM UTC-6, Alan Grayson wrote:
>>>>
>>>>
>>>>
>>>> On Wednesday, August 21, 2019 at 3:13:11 PM UTC-6, Lawrence Crowell 
>>>> wrote:
>>>>>
>>>>> On Tuesday, August 20, 2019 at 4:56:23 PM UTC-5, Alan Grayson wrote:
>>>>>>
>>>>>> https://en.wikipedia.org/wiki/Conformal_cyclic_cosmology
>>>>>>
>>>>>> Is this a viable theory for avoiding a BB interpreted as a 
>>>>>> singularity? AG
>>>>>>
>>>>>
>>>>> Penrose proposed a conformal identification of spatial infinity in the 
>>>>> past and future i^±∞ of FLRW spacetimes. A cosmology expands and in the 
>>>>> limit time → ∞ it transitions into a new cosmology. The de Sitter vacuum 
>>>>> is 
>>>>> not eternally stable, so the idea may have some germ of relevancy. I am 
>>>>> not 
>>>>> sure about how this would work with vacuum to vacuum transitions. The 
>>>>> exponential expansion of the universe is a sort of time dependent 
>>>>> conformal 
>>>>> transformation with a small vacuum expectation for the scale field. To 
>>>>> transition to a new cosmology, say with inflationary expansion, this 
>>>>> means 
>>>>> the vacuum expectation is increased.
>>>>>
>>>>> The overall physics community response to this has been tepid at best. 
>>>>> There are some possible conflicts with observed data.
>>>>>
>>>>> LC
>>>>>
>>>>
>>>> FWIW, ISTM that what GR might be indicating about the BB, is that, 
>>>> insofar as it's a singularity, it couldn't have occurred, and didn't 
>>>> occur.  This is to say the universe didn't become infinitely small in 
>>>> spatial extent, like a mathematical point, but rather that there was a 
>>>> maximal finite value of its energy density, hugely high but not infinite. 
>>>> For this reason I find the cyclic models promising, although, as you 
>>>> rightly indicate, they're far from complete or bug-free. AG
>>>>
>>>
>>> Which brings up a possibly relevant question: If the total energy of the 
>>> universe occupied zero spatial volume (the presumed condition of the 
>>> universe at t=o according to the BB theory), wouldn't that contradict the 
>>> Uncertainty Principle? AG 
>>>
>>
>> The total mass-energy content of the universe is zero.
>>
>> LC 
>>
>
> Is that a provable fact, or something that can be measured? TIA, AG 
>

It is provable, because in general spacetimes there does not exist a 
Gaussian surface to define mass. This sets the energy to zero. Think of it 
as meaning gravitational potential energy as negative is equal in magnitude 
to positive mass-energy. 

LC

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