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Kikuchiyo's two pictures of time

  1. Aug 30, 2003 #1

    marcus

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    Over in "Theoretical" forum a new poster kikuchiyo put up two animated pictures of time.

    A. http://homepage.mac.com/aglaser/time.swf

    B. http://homepage.mac.com/aglaser/time2.swf

    one is the time-line picture and the other is the falling-leaves picture

    I think one's focus should not be "Which picture is right?" but
    "How do I understand the falling leaves picture?"

    In mathematical terms the difference is between a "linear ordering" and a "partial ordering" relation

    if two leaves overlap you can tell which precedes which
    and presumably its a transitive relation (yes, kikuchiyo?) which
    means that if A precedes B precedes C then A precedes C

    the partial ordering idea has interested mathematicians and they have learned some things about partial orderings
    there is also the idea of a "directed set" which is a little stronger than a partial ordering but still not a linear ordering----a directed set allows taking limits and some interesting collections of things turn out to be partial-ordered and in some cases directed.
    It seems like not a bad idea to see if time can be understood in these terms
     
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  3. Aug 30, 2003 #2

    marcus

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    http://arxiv.org/hep-th/0302111

    I just had a look at a paper dated August 2003 (though numbered as if earlier) called "Evolution in Quantum Causal Histories" by Fotini Markopoulos, Eli Hawkins, and Hanno Sahlmann

    Sure enough a quantum causal history is a locally finite partial-ordered set

    in classical GR spacetime the events form a partial-ordered set---that is the mathematical realization of causality

    two events x and y are "spatially separated" if neither precedes the other in the ordering

    they go over all the definitions and it seems nice


    For quantum gravity, she just throws away the spacetime manifold and all she has left is a partial-ordered set of events
    and she attaches to each event a finite dimensional Hilbert space

    and then she starts describing structures that other people study using this: for instance she describes spinfoam models of spacetime and
    algebraic quantum field theory (whatever that is)
    quantum information theory (ditto)

    I suspect that if time exists at all there's more to it than a straight line

    maybe I didnt say it clearly enough: kikuchiyo animated picture B is of a locally finite partial-ordered set (if you had to give a general mathematical description)
     
    Last edited: Aug 30, 2003
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