Common Axioms for Inferring Classical Ensemble Dynamics and Quantum Theory
Abstract
The same set of physically motivated axioms can be used to construct both the classical ensemble HamiltonJacobi equation and Schroedingers equation. Crucial roles are played by the assumptions of universality and simplicity (Occam's Razor) which restrict the number and type of of arbitrary constants that appear in the equations of motion. In this approach, nonrelativistic quantum theory is seen as the unique single parameter extension of the classical ensemble dynamics. The method is contrasted with other related constructions in the literature and some consequences of relaxing the axioms are also discussed: for example, the appearance of nonlinear higherderivative corrections possibly related to gravity and spacetime fluctuations. Finally, some open research problems within this approach are highlighted.
 Authors:
 Department of Physics, National University of Singapore, Kent Ridge (Singapore)
 (Singapore)
 Publication Date:
 OSTI Identifier:
 20787710
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Conference Proceedings; Journal Volume: 810; Journal Issue: 1; Conference: Vaxjo conference on quantum theory: Reconsideration of foundations  3, Vaxjo (Sweden), 611 Jun 2005; Other Information: DOI: 10.1063/1.2158745; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRECTIONS; EQUATIONS OF MOTION; FLUCTUATIONS; GRAVITATION; HAMILTONJACOBI EQUATIONS; NONLINEAR PROBLEMS; QUANTUM FIELD THEORY; RELATIVISTIC RANGE; SCHROEDINGER EQUATION; SPACETIME
Citation Formats
Parwani, Rajesh R., and University Scholars Programme, National University of Singapore, Kent Ridge. Common Axioms for Inferring Classical Ensemble Dynamics and Quantum Theory. United States: N. p., 2006.
Web. doi:10.1063/1.2158745.
Parwani, Rajesh R., & University Scholars Programme, National University of Singapore, Kent Ridge. Common Axioms for Inferring Classical Ensemble Dynamics and Quantum Theory. United States. doi:10.1063/1.2158745.
Parwani, Rajesh R., and University Scholars Programme, National University of Singapore, Kent Ridge. Wed .
"Common Axioms for Inferring Classical Ensemble Dynamics and Quantum Theory". United States.
doi:10.1063/1.2158745.
@article{osti_20787710,
title = {Common Axioms for Inferring Classical Ensemble Dynamics and Quantum Theory},
author = {Parwani, Rajesh R. and University Scholars Programme, National University of Singapore, Kent Ridge},
abstractNote = {The same set of physically motivated axioms can be used to construct both the classical ensemble HamiltonJacobi equation and Schroedingers equation. Crucial roles are played by the assumptions of universality and simplicity (Occam's Razor) which restrict the number and type of of arbitrary constants that appear in the equations of motion. In this approach, nonrelativistic quantum theory is seen as the unique single parameter extension of the classical ensemble dynamics. The method is contrasted with other related constructions in the literature and some consequences of relaxing the axioms are also discussed: for example, the appearance of nonlinear higherderivative corrections possibly related to gravity and spacetime fluctuations. Finally, some open research problems within this approach are highlighted.},
doi = {10.1063/1.2158745},
journal = {AIP Conference Proceedings},
number = 1,
volume = 810,
place = {United States},
year = {Wed Jan 04 00:00:00 EST 2006},
month = {Wed Jan 04 00:00:00 EST 2006}
}

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ON THE AXIOMS OF QUANTUM FIELD THEORY
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