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Links between Everett, Feynman, Kripke?

  1. Dec 15, 2009 #1
    As I state my questions, there are likely to be errors that I would appreciate being corrected. Beyond that, however, if the gist of the questions can be salvaged after correcting these errors, I would also like answers to your version of the questions.
    Both Feynman's summation over histories and Everett's MWI start off from the collection of possible events at any given moment. From there Feynman keeps them all in one universe and performs path integrals, while Everett has each path lead an independent existence in its own universe. Nonetheless, there is the gut feeling that the two have probably been unified somewhere. If so, could someone outline how or give me a link (that doesn't lead to a to-be-paid-for article)?
    Secondly, in mathematical logic, the theory of Kripke frames is sometimes called many worlds, and one can see a superficial resemblance to the states of quantum physics, but has this ever been pursued?
     
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  3. Dec 16, 2009 #2

    Demystifier

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    The relation between Feynman and Everett is only superficial. They address completely different problems. While Feynman gives a mathematical method to calculate the wave function and this method is completely equivalent to the Schrodinger equation, Everett attempts to solve the measurement problem, i.e., to give a physical meaning to the wave function without introducing the wave-function collapse.
     
  4. Dec 16, 2009 #3

    Hurkyl

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    People have looked at something called "quantum logic" -- but my vague not-a-physicist impression is that you can do the same thing better with C*-algebra.

    John Baez briefly mentions "linear logic" being applied to quantum mechanics. I'm not sure if this application is really different than quantum logic.


    I'm really only familiar with Kripke through Kripke-Joyal semantics which relates to intuitionistic logic -- I can't say if it bears any relevance to what I mentioned above. But Stanford's page on linear logic does mention Kripke models.
     
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