On 11/14/2017 3:17 PM, [email protected] wrote:


On Tuesday, November 14, 2017 at 3:32:08 PM UTC-7, John Clark wrote:

    On Mon, Nov 13, 2017 at 11:52 PM, <[email protected]
    <javascript:>>wrote:

        ​> ​
        I think every macro system, although comprised of a huge
        number of individual constituents, is in one definite state;


    ​No object large enough to see with ​
    your unaided ​can is in one definite state, that is to say can be
    described with a single quantum wave function, with the possible
    exception of a
    Bose–Einstein condensate
    ​, and even then it would be so small ​it would be at the limits
    of visibility. And you're not going to see one in everyday life
    unless you visit a lab that can cool things down to less than a
    millionth of a degree above absolute zero that is needed to make a
    Bose–Einstein condensate
    ​.​
    Incidentally
    unless  ​
    ET
    ​exists and is also interested in physics research that lab you're
    visiting is
     the coldest place in the universe
    ​.​

Any macro object is in a definite state -- not a superposition of states -- at every moment in time,

This is misleading "a superposition of states" implies a pure state represented in some basis other than one in which it's an eigenstate.  A classical object is never in a state like that, because it is always entangled  with a lot of other objects.  Since those entanglements are unknowable, whatever basis we choose to represent the object will not include those entanglements and the density matrix we use will be a mixed state, one that represents all those entanglements (if it represents them at all) as statisicaly interactions that can just be averaged over.

but obviously the state is constantly fluctuating due to interactions with its constituents and entities external to it.

It's interaction with them means that it is entangled with them and has no pure state that does not also include them.  Regarding the object by itself is already implicitly averaging over or otherwise neglecting those entanglements.

Brent

Due to the huge number of constituents, we can't write it down explicitly,


        ​> ​
        the lack of ISOLATION is the condition for the existence of
        this macro definite state.


    ​A baseball made of 10^25 atoms ​has 10^25 times more ways to
    interact with the environment than a single atom does, so we'd
    expect to see a baseball in just one state about
    ​10^25 times less often than we do in a single atom.​

        ​> ​
        The concept of Multiverse and Many Worlds come from entirely
        different contexts and theories,


    ​I don't think anybody was even talking about the Multiverse
    before 1957 when Hugh Everett introduced the idea of Many Worlds,
    and Evert's idea won't work without the Multiverse. ​ That doesn't
    sound entirely different to me.


Multiverse arose in the context of string theory, after Everett's MWI. The difference between Multiverse and MWI is striking and obvious. For example, the former has nothing to do with Joe the Plumber shooting an electron at a slit in a lab and creating an awesome (uncountable!) number of NEW universes.


        ​> ​
        For example, we know that irrational numbers exist


    Do we?


Of course. It has been proven that pi and e are not rational. It's also been proven that the irrationals are dense in the reals; that is, many "more" irrationals than rationals; the difference between countable and uncountable infinities.

    We know that mathematicians can use the language of mathematics to
    write stories about irrational numbers
    ​,​
    but nobody has ever seen a irrational number
    ​of​
     anything in the physical world. And we know that a English
    professor can write stories about The Lord Of The Rings, but noddy
    has ever seen
    ​​
    Frodo Baggins
    ​
    or The Shire.

        *
        ​> ​
        if your conjecture were true, it would be impossible for
        irrational numbers to exist, since recurring repetitions of
        subset strings would be impossible to avoid.*


    ​If the ​
    conjecture
    ​is​
     true
    ​ then there might be a infinite number of Turing Machines in the
    Multiverse but they couldn't communicate with each other and none
    of them would have a infinite amount of tape. So any real Turing
    Machine in the Multiverse is certain to eventually stop, not for
    any software reason but because of hardware failure. Eventual any
    real Turing machine will get a command like "move the read/wright
    head one box to the left write a 1 in the box and then change to
    state 6.02*10^23" but it will be unable to move one box to the
    left became it is already at the end of the tape and there is no
    more matter in the observable universe to extend it. If no
    physical process can produce them that
    seems to me a pretty good indication that the physical universe
    doesn't need irrational numbers (or even real numbers). Many
    Worlds is a theory about physics not mathematics so the
    philosophic debate about the existence or nonexistence of
    irrational numbers ​
    has no bearing on existence or nonexistence of
    ​ Many Worlds.​


I am not sufficiently knowledgeable about Turing machines to comment. HOWEVER, if you prefer, forget about number theory and consider the FINITE AGE of our universe, the observable and unobservable regions. It's been expanding for 13.8 billion years, so its spatial extent must be FINITE. This undercuts your argument about infinite repetitions of whatever.

     John K Clark

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