On 2/5/2020 4:42 AM, Alan Grayson wrote:
On Wednesday, February 5, 2020 at 5:10:53 AM UTC-7, Lawrence Crowell
wrote:
On Wednesday, February 5, 2020 at 6:05:54 AM UTC-6, Alan Grayson
wrote:
On Wednesday, February 5, 2020 at 4:54:03 AM UTC-7, Lawrence
Crowell wrote:
On Wednesday, February 5, 2020 at 2:29:44 AM UTC-6, Alan
Grayson wrote:
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
https://physics.stackexchange.com/questions/94122/is-poincare-recurrence-relevant-to-our-universe
The Poincaré recurrence theorem will hold for the universe only if the
following assumptions are true:
1. 1) All the particles in the universe are bound to a finite volume.
2. 2) The universe has a finite number of possible states.
If any of these assumptions is false, the Poincaré recurrence theorem
will break down.
No. Those are sufficient conditions, but not necessary.
Brent
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