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Operational Dynamic Modeling

  1. Apr 7, 2015 #1
    It seems like there are people working on dual formulations of fundamental interactions (dynamics, kinematics) all over the place: Quantum Spin Foams, Lattices, Energetic Causal Sets, Holographic Boundaries.

    Wondering whether anyone can point toward theoretical research looking at fundamental particles and interactions using an "evolutionary dynamics" perspective. I've read a few things on evolutionary processes and I find myself repeatedly trying to analogize the Lagrangian as a "fitness" function, the operators as the player's DOF and rules, integrals of system evolution as the game trajectory over iteration, something to that effect, etc... Not having much luck finding stuff w/Google.

    I did find this, which seemed to be addressing that general "kind" of approach but from assemblies of current Classical/QM pieces. Pretty cool though.

    http://arxiv.org/abs/1105.4014

    Operational Dynamic Modeling Transcending Quantum and Classical Mechanics
    Denys I. Bondar, Renan Cabrera, Robert R. Lompay, Misha Yu. Ivanov, Herschel A. Rabitz
    (Submitted on 20 May 2011 (v1), last revised 29 Mar 2013 (this version, v5))
    We introduce a general and systematic theoretical framework for Operational Dynamic Modeling (ODM) by combining a kinematic description of a model with the evolution of the dynamical average values. The kinematics includes the algebra of the observables and their defined averages. The evolution of the average values is drawn in the form of Ehrenfest-like theorems. We show that ODM is capable of encompassing wide ranging dynamics from classical non-relativistic mechanics to quantum field theory. The generality of ODM should provide a basis for formulating novel theories.
     
    Last edited: Apr 7, 2015
  2. jcsd
  3. Apr 12, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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