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:
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>> This video was just uploaded today:
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>> 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
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