On 11/27/2017 7:28 AM, Stathis Papaioannou wrote:

On Mon, 27 Nov 2017 at 6:23 pm, <[email protected] <mailto:[email protected]>> wrote:



    On Monday, November 27, 2017 at 7:12:09 AM UTC, stathisp wrote:



        On 27 November 2017 at 17:54, <[email protected]> wrote:



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



                On 27 November 2017 at 17:36, <[email protected]> wrote:



                    On Monday, November 27, 2017 at 6:30:34 AM UTC,
                    [email protected] wrote:



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



                            On 27 November 2017 at 16:54,
                            <[email protected]> wrote:



                                On Monday, November 27, 2017 at
                                5:48:58 AM UTC, [email protected]
                                wrote:



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



                                        On 27 November 2017 at 16:25,
                                        <[email protected]> wrote:



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



                                                On 26 November 2017 at
                                                13:33,
                                                <[email protected]>
                                                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

        But the possibilities are not infinite if we only want to
        reproduce a finite structure with finite precision.


    To get a universe anything like ours, the space of multiverse
    possibilities seems plausibly uncountable. Doesn't matter if our
    universe is conjectured as finite. It just wouldn't come up in a
    random process. AG


It isn’t our universe that is conjectured as finite, it is subsets of it. One little subset is denominated by the sequence of integers “123”. Are you suggesting that “123” might not come up again given an infinite random progression of integers?

But that kind of reasoning cuts both ways.  Although "123" may be repeated within a light year, there will always be a longer sequence "1234" which is not repeated within that range.  Penrose tiling is an interesting example of this.  Any given finite figure of the tiling is repeated within a finite distance.  But given any distance there is a figure large enough there is no repetition within that range.

Brent

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