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. > >> > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/ee779a86-b8a2-4f99-b1a7-4f475aecabaf%40googlegroups.com.
