On 10/23/2020 3:52 PM, Jason Resch wrote:


On Fri, Oct 23, 2020 at 4:54 PM 'Brent Meeker' via Everything List <[email protected] <mailto:[email protected]>> wrote:



    On 10/23/2020 8:15 AM, Jason Resch wrote:


    On Tue, Oct 20, 2020 at 4:37 PM 'Brent Meeker' via Everything
    List <[email protected]
    <mailto:[email protected]>> wrote:



        On 10/20/2020 1:20 PM, Jason Resch wrote:


        On Tue, Oct 20, 2020 at 1:23 PM 'Brent Meeker' via
        Everything List <[email protected]
        <mailto:[email protected]>> wrote:



            On 10/20/2020 5:39 AM, Bruno Marchal wrote:

            On 15 Oct 2020, at 20:56, 'Brent Meeker' via
            Everything List <[email protected]
            <mailto:[email protected]>> wrote:

            You should have read Vic Stenger's "The Fallacy of
            Fine Tuning".  Vic points out how many examples of
            fine tuning are mis-conceived...including Hoyle's
            prediction of an excited state of carbon. Vic also
            points out the fallacy of just considering one
            parameter when the parameter space is high dimensional.

            But my general criticism of fine-tuning is two-fold.
            First, the concept is not well defined.  There is no
            apriori probability distribution over possible
            values.  If the possible values are infinite, then any
            realized value is improbable.


            I don’t think so. That is why Kolmogorov defines a
            measure space by forbidding infinite intersection of
            events. In the finite case the space of events is the
            complete boolean structure coming from the subset of
            the set of the possible results. In the infinite
            domain, the measure space os defined by a strict
            subset. I miss perhaps something, but the axiomatic of
            Kolmogorov has been invented to solve that “infinite
            number of value” problem.

            That's a non-answer.  I was just using infinite (as
            physicists do) to mean bigger than anything we're
            thinking of.  Kolmogorov just shaped his definition to
            make the mathematics simpler.  There's nothing in
            Jason's analyses that defines the variables as finite. 
            Jason just helps jimself to an intuition that a value
            between 7.5 and 7.7 is "fine-tuned".  He didn't first
            justify the finite interval.


        I admit as much in the article. For most parameters, we
        don't understand the range or probability distribution for
        the constants.

        Then how can you assert there is fine tuning. Is a value of
        20_+_1 qualify?  Does it matter whether the possible range
        was (0,100) or (19,21)?

        However, see my explanation for the cosmological constant, a
        value for which the theory can account for the expected
        range and probability distribution.

        That's right, there is a theory that tells us something about
        a range and probability distribution.  But it's far from an
        accepted theory, and might well be wrong.


    It comes out of QFT, perhaps our most strongly tested theory in
    science, at least one that offers the most accurate verified
    prediction in physics.

    That "comes out of" is very misleading, since it's applying QFT to
    general relativity which is not even a quantum theory.


But the quantum fields (vacuum) are known to gravitate.

"Known" how?  You can write down a calculation...which give infinity as an answer.   Having arrived at an obviously wrong answer, you can introduce a cutoff that you guess at based on some dimensional analysis and get an answer that's wrong by 120 orders of magnitude, instead of infinitely.  And you then say this shows we know something like this must be right???

    The first application of QFT to the problem gave the wrong answer
    by 120 orders of magnitude.


Wrong is the wrong word here. The answer was unexpectedly small by that many orders of magnitude, but it is still within the range of possibility.

Which is exactly what's wrong with the idea of "fine-tuning".  The "range of possibility" is just pulled out of thin air.  Suppose life were possible for 1e-60 ev/m3  to 1e-20 ev/m3.  Would that be "fine-tuning"  because (1-e-20 - 1e-60)<<1  or because 30 orders of magnitude is small compared to infinity.

    I don't know what prediction you're referring to, there have been
    several.  Can you cite the paper?


The prediction that the vacuum state contains energy, and that this energy under QFT is the sum of each of the field energies, some of which may be positive or negative, and when they are summed, they come out to be 120 orders of magnitude smaller than the Planck energy (which is the expected energy level of each field). I don't know of a reference to the paper, but I've read it was first calculated by Feynman and Wheeler. I also found this derivation: https://i.imgur.com/m0QhWOv.png


This paper <https://arxiv.org/pdf/1906.00986.pdf> gives three citations [6-8] to accompany this statement, which might also be useful to you:


    "Nature contains two relative mass scales: the vacuum energy
    density V ∼ (10−30MPl) 4 and the weak scale v 2 ∼ (10−17MPl) 2
    where v is the Higgs vacuum expectation value. Their smallness
    with respect to the Planck scale MPl = 1.2 1019 GeV is not
    understood and is considered as ‘unnatural’ in relativistic
    quantum field theory, because it seems to require precise
    cancellations among much larger contributions. If these
    cancellations happen for no fundamental reason, they are
    ‘unlikely’, in the sense that summing random order one numbers
    gives 10^−120 with a ‘probability’ of about 10^−120."


But who says the random number are order 1.

It's all just fantasizing.

Brent


    "No natural theoretical alternatives are known (for example,
    supergravity does not select V = 0 as a special point [1]), and
    anthropic selection of the cosmological constant seems possible in
    theories with some tens of scalars such that their potential has
    more than 10^120 different vacua, which get ‘populated’ forming a
    ‘multiverse’ through eternal inflation. String theory could
    realise this scenario [6–8]."

[6] R. Bousso, J. Polchinski, “Quantization of four form fluxes and dynamical neutralization of the cosmological constant”, JHEP 0006 (2000) 006 [arXiv:hep-th/0004134]. [7] L. Susskind, “The Anthropic landscape of string theory” [arXiv:hep-th/0302219]. [8] S. Kachru, R. Kallosh, A.D. Linde, S.P. Trivedi, “De Sitter vacua in string theory”, Phys. Rev. D68 (2003) 046005 [arXiv:hep-th/0301240].


Jason


    Brent

    It might well be wrong, but that would be more surprising to me
    than the idea of an anthropic selection process operating in a
    multiverse.

    Jason
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