On 11/26/2017 11:48 PM, Jason Resch wrote:


On Mon, Nov 27, 2017 at 1:18 AM, <agrayson2...@gmail.com <mailto:agrayson2...@gmail.com>> wrote:



    On Monday, November 27, 2017 at 6:54:13 AM UTC,
    agrays...@gmail.com <mailto:agrays...@gmail.com> wrote:



        On Monday, November 27, 2017 at 6:45:43 AM UTC, stathisp wrote:



            On 27 November 2017 at 17:36, <agrays...@gmail.com> wrote:



                On Monday, November 27, 2017 at 6:30:34 AM UTC,
                agrays...@gmail.com wrote:



                    On Monday, November 27, 2017 at 6:21:30 AM UTC,
                    stathisp wrote:



                        On 27 November 2017 at 16:54,
                        <agrays...@gmail.com> wrote:



                            On Monday, November 27, 2017 at 5:48:58 AM
                            UTC, agrays...@gmail.com wrote:



                                On Monday, November 27, 2017 at
                                5:44:25 AM UTC, stathisp wrote:



                                    On 27 November 2017 at 16:25,
                                    <agrays...@gmail.com> wrote:



                                        On Monday, November 27, 2017
                                        at 5:07:03 AM UTC, stathisp
                                        wrote:



                                            On 26 November 2017 at
                                            13:33,
                                            <agrays...@gmail.com> wrote:

                                                You keep ignoring the
                                                obvious 800 pound
                                                gorilla in the room;
                                                introducing Many
                                                Worlds creates hugely
                                                more complications
                                                than it purports to do
                                                away with; multiple,
                                                indeed infinite
                                                observers with the
                                                same memories and life
                                                histories for example.
                                                Give me a break. AG


                                            What about a single,
                                            infinite world in which
                                            everything is duplicated
                                            to an arbitrary level of
                                            detail, including the
                                            Earth and its inhabitants,
                                            an infinite number of
                                            times? Is the bizarreness
                                            of this idea an argument
                                            for a finite world, ending
                                            perhaps at the limit of
                                            what we can see?


                                            --stathis Papaioannou


                                        FWIW, in my view we live in
                                        huge, but finite, expanding
                                        hypersphere, meaning in any
                                        direction, if go far enough,
                                        you return to your starting
                                        position. Many cosmologists
                                        say it's flat and thus
                                        infinite; not asymptotically
                                        flat and therefore spatially
                                        finite. Measurements cannot
                                        distinguish the two
                                        possibilities. I don't buy the
                                        former since they also concede
                                        it is finite in age. A
                                        Multiverse might exist, and
                                        that would likely be infinite
                                        in space and time, with
                                        erupting BB universes, some
                                        like ours, most definitely
                                        not. Like I said, FWIW. AG


                                    OK, but is the *strangeness* of a
                                    multiverse with multiple copies of
                                    everything *in itself* an argument
                                    against it?

-- Stathis Papaioannou


                                FWIW, I don't buy the claim that an
                                infinite multiverse implies infinite
                                copies of everything. Has anyone
                                proved that? AG


                            If there are uncountable possibilities for
                            different universes, why should there be
                            any repetitions? I don't think infinite
                            repetitions has been proven, and I don't
                            believe it. AG

                        If a finite subset of the universe has only a
                        finite number of configurations and the
                        Cosmological Principle is correct, then every
                        finite subset should repeat. It might not; for
                        example, from a radius of 10^100 m out it
                        might be just be vacuum forever, or Donald
                        Trump dolls.
-- Stathis Papaioannou


                    Our universe might be finite, but the parameter
                    variations of possible universes might be
                    uncountable. If so, there's no reason to think the
                    parameters characterizing our universe will come
                    again in a random process. AG


                Think of it this way; if our universe is represented
                by some number on the real line, and you throw darts
                randomly at something isomorphic to the real line,
                what's the chance of the dart landing on the number
                representing our universe?. ANSWER: ZERO. AG


            But the structures we may be interested in are finite. I
            feel that I am the same person from moment to moment
            despite multiple changes in my body that are grossly
            observable, so changes in the millionth decimal place of
            some parameter won't bother me. The dart has to land on a
            blob, not on a real number.

-- Stathis Papaioannou


        Don't you like thought experiments? I have shown that the
        parameters of our universe won't come up in a random process
        if the possibilities are uncountable (and possibly even if
        they're countable).  Maybe you prefer a theory where Joe the
        Plumber shoots a single electron at a double slit and creates
        an uncountable number of identical universe except for the
        variation in outcomes. Does this make more sense to you? AG


    You might get universes close to ours, but even this would be
    hugely unlikely given the uncountable assumed number of
    possibilities, and even a close call might mean no hit wiping the
    dinos. No exact repeats! AG


Quantum Mechanics informs us that there is a finite amount of information <https://en.wikipedia.org/wiki/Bekenstein_bound> that can be stored within a finite volume of space having a finite energy.

I don't think that's correct.  QM says we can only extract by measurement a finite amount of information.  But as currently formulated QM is based on a continuum of spacetime and the Standard Model depends on parameters with continuum ranges.

Brent


Therefore any finite region of space, be it a skull, body, planet, solar system, galaxy or Hubble volume can be in one of only a finite number of possible states.

If space is infinite and homogeneous (as the standard "concordance model <https://en.wikipedia.org/wiki/Lambda-CDM_model>" of cosmology suggests), it follows <http://space.mit.edu/home/tegmark/PDF/multiverse_sciam.pdf> that any finitely defined region of space recurs, and does so infinitely.

Jason

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