On Wednesday, February 5, 2020 at 6:05:54 AM UTC-6, Alan Grayson wrote:
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> On Wednesday, February 5, 2020 at 4:54:03 AM UTC-7, Lawrence Crowell wrote:
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>> On Wednesday, February 5, 2020 at 2:29:44 AM UTC-6, Alan Grayson wrote:
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>>> On Monday, February 3, 2020 at 3:48:00 PM UTC-7, John Clark wrote:
>>>>
>>>> This video was just uploaded today:
>>>>
>>>> Are there Infinite Versions of You? 
>>>> <https://www.youtube.com/watch?v=qT110-Q8PJI>
>>>>
>>>> John K Clark
>>>>
>>>
>>> *The answer is NO, if at least one parameter of the universe can 
>>> continuously vary, even along a finite interval or dimension. In this case, 
>>> the number of possible universes is UNCOUNTABLE, and IIUC, under this 
>>> condition Poincare Recurrence doesn't apply.  AG *
>>>
>>
>> The Poincare recurrence of 10^{100} particles, approximately how many 
>> particles are out to the limit of observation, is around 10^{10^{100}} time 
>> units. Those time units would be Planck units of time, but the disparity of 
>> numbers means that we can consider this to be years with little error, 
>> Using the idea of space = time this would mean in spatial distance there is 
>> also a sort of recurrence. So out to that distance there exists some 
>> repeated form of what exists here. The quantum recurrence time is 
>> approximately 10^{10^{10^{100}}} time units or the exponent of this. So 
>> further out in space would imply not only a copy of things here, but also 
>> the same quantum phase. This is something within just the level 1 
>> multiverse.
>>
>> Now this distance is utterly enormous and not just beyond the 
>> cosmological horizon, but beyond a distance where a Planck unit is 
>> redshifted to the horizon scale. This distance is around 2 trillion light 
>> years, which is a mere trifle by comparison to maybe 10^{10^{100}} light 
>> years or so. This length is the absolute limit of any observation. This 
>> then means the universe has some N genus manifold covering, or equivalently 
>> some polytope, covering space to reflect this multiplicity. For the 
>> polytope with N facets the horizon scale is a nearly infinitesimal bubble 
>> in the center. 
>>
>> There is then of course in addition the level 2 multiverse which is the 
>> generation of pocket worlds within an inflationary de Sitter manifold. 
>> These may then have different renormalization group flows for gauge 
>> coupling values and physical vacua. Another level 3, or level 2.2, is the 
>> generation of dS inflationary manifolds from AdS/CFT physics.
>>
>> LC
>>
>
> *Do you agree that if any parameter of our universe logically allows some 
> continuum of values, PR fails? Or if our universe is finite in spatial 
> extent, PR fails? AG*
>

No

LC 

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