On Thursday, February 6, 2020 at 4:43:20 AM UTC-7, Lawrence Crowell wrote: > > On Wednesday, February 5, 2020 at 6:42:05 AM UTC-6, 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. >> > > > FLRW and de Sitter spacetimes have spacelike boundaries for initial and > final states. >
*What's a space-like boundary? TIA, AG* In an ideal set of circumstances the final future Cauchy data is in the > infinite future. However, this is for a pure spacetime that is a conformal > vacuum. The existence of matter or radiation breaks this conformal > invariance. Conformal symmetry is a spacetime form of the Huygens' > condition for light rays, and if conformal invariance is broken then the > spatial surface in the future is not at "t = ∞," but a finite time. > > LC > >> >>>> >>> -- 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/d3e74c8d-59f1-4bed-9c93-91326ed133dd%40googlegroups.com.
