Hi Roger,

Compact manifolds are not unique per se (http://en.wikipedia.org/wiki/Compact_manifold) but can be categorized to some extent. The trick is figuring out the transformations between them (the diffeomorphism of GR is a version of this). I suspect that canonical projections <http://en.wikipedia.org/wiki/Canonical_projection> are a way of relating their geometrical aspects.

On 8/23/2012 8:23 AM, Roger Clough wrote:
Hi Richard Ruquist
I don't know if compact manifolds are unique, that's your forte.
But monads are definitely not unique-- they are infinitely varied and keep varying.
Roger Clough, [email protected] <mailto:[email protected]>
8/23/2012
Leibniz would say, "If there's no God, we'd have to invent him so everything could function."

    ----- Receiving the following content -----
    *From:* Richard Ruquist <mailto:[email protected]>
    *Receiver:* everything-list <mailto:[email protected]>
    *Time:* 2012-08-22, 12:34:59
    *Subject:* Re: Leibniz's theodicy: a nonlocal and hopefully best
    mereology

    Stephan,

    According to Shing-Tung Yau 
    http://en.wikipedia.org/wiki/Shing-Tung_Yau 
    current Head of the Harvard Math Dept. who verified Calabi's
    Conjecture,
    the compact manifolds are 1000 Planck lengths across
    and are constraaned by higher-order EM flux that winds thru its
    500 holes
    (see "The Shape of Inner Space" by Yau).

    It is considered that each flux winding has 10 quantum states
    so that the total number of distinct windings is 10^500.

    I suggest that the number of quantum states rather
    may equal the dimensionality of the compact manifolds,
    so that the number of possibilities is 6^500 or 10^389,
    which is just enough to fill a good sized universe like ours
    with every Compact Manifold being unique.

    Thanks for your interest.
    Richard


    On Wed, Aug 22, 2012 at 11:24 AM, Stephen P. King
    <[email protected] <mailto:[email protected]>> wrote:

            What exactly determines the 10^500 number?


        On 8/22/2012 9:19 AM, Richard Ruquist wrote:
        That there are 10^500 possible configurations of the monads.
        Scientist believe that each possible universe 
        contains but one kind of monad..

        On Wed, Aug 22, 2012 at 8:50 AM, Roger Clough
        <[email protected] <mailto:[email protected]>> wrote:

            Hi Richard Ruquist
             
            What is the landscape problem ?
             
             
            Roger Clough, [email protected]
            <mailto:[email protected]>
            8/22/2012
            Leibniz would say, "If there's no God, we'd have to
            invent him so everything could function."

                ----- Receiving the following content -----
                *From:* Richard Ruquist <mailto:[email protected]>
                *Receiver:* everything-list
                <mailto:[email protected]>
                *Time:* 2012-08-21, 21:26:58
                *Subject:* Re: Leibniz's theodicy: a nonlocal and
                hopefully best mereology

                Stephan,

                I solved the landscape problem by assuming that each
                monad was distinct
                consistent with the astronomical observations that
                the hyperfine constant
                varied monotonically across the universe.
                Richard

                On Tue, Aug 21, 2012 at 4:28 PM, Stephen P. King
                <[email protected]
                <mailto:[email protected]>> wrote:

                    On 8/21/2012 3:58 PM, Richard Ruquist wrote:
                    燬teinberg P. Soft Physics from RHIC to the LHC.
                    燼rXiv:nucl-ex/09031471, 2009.


                    燢ovtum PK, Son DT & Starinets AO. Viscosity in
                    Strongly Interacting Quantum
                    Field Theories from Black Hole Physics.
                    arXiv:hep-th/0405231.

                    牋 Good! Now to see if there any any other
                    possible explanations that do not have the
                    landscape problem...


                    On Tue, Aug 21, 2012 at 3:48 PM, Stephen P. King
                    <[email protected]
                    <mailto:[email protected]>> wrote:

                        On 8/21/2012 3:39 PM, Richard Ruquist wrote:
                        String theory predicts the viscosity of the
                        quark-gluon plasma
                        already found at the LHC and several other
                        sites.

                        Hi Richard,

                        牋 Could you link some sources on this?


                        On Tue, Aug 21, 2012 at 3:25 PM, Stephen P.
                        King <[email protected]
                        <mailto:[email protected]>> wrote:

                            On 8/21/2012 12:19 PM, meekerdb wrote:
                            On 8/21/2012 4:10 AM, Roger Clough wrote:
                            Hi guys,
                            Neither CYM's nor strings physically
                            exist--爄nstead, they represent
                            things that exist.
                            Anything in equation form is itself
                            nonphysical, although the equations
                            might describe something physical.


                            The equations of string theory
                            describe strings. So how does it
                            follow that strings aren't real.
                            That's like saying a sentence that
                            describes my house shows that my house
                            isn't real.

                            I agree that string theory (or any
                            other theory) is a model of reality
                            and not reality itself. But, if it's
                            correct, it refers to reality or at
                            least some part of reality - like, "My
                            house is green." refers to a part of
                            reality, but "My house is blue." does not.

                            Brent

                            牋 When and if string theory makes a
                            prediction that is then found to have a
                            physical demonstration we might be more
                            confident that it is useful as a
                            physics theory and not just an exercise
                            in beautiful advanced mathematics. The
                            LHC is looking for such evidence...



                            For example, if I live at 23 Main
                            street, 23 Main Street is not my house,
                            it is my address.
                            Roger Clough, [email protected]
                            <mailto:[email protected]>
                            8/21/2012


                        --



--
Onward!

Stephen

"Nature, to be commanded, must be obeyed."
~ Francis Bacon

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