dorsal/arxiv
View SchemaCommon Axioms for Inferring Classical Ensemble Dynamics and Quantum Theory
| Authors | Rajesh R. Parwani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506005 |
| URL | https://arxiv.org/abs/quant-ph/0506005 |
| DOI | 10.1063/1.2158745 |
Abstract
The same set of physically motivated axioms can be used to construct both the classical ensemble Hamilton-Jacobi equation and Schrodingers 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, non-relativistic 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 higher-derivative corrections possibly related to gravity and spacetime fluctuations. Finally, some open research problems within this approach are highlighted.
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"abstract": "The same set of physically motivated axioms can be used to construct both the\nclassical ensemble Hamilton-Jacobi equation and Schrodingers equation. Crucial\nroles are played by the assumptions of universality and simplicity (Occam\u0027s\nRazor) which restrict the number and type of of arbitrary constants that appear\nin the equations of motion. In this approach, non-relativistic quantum theory\nis seen as the unique single parameter extension of the classical ensemble\ndynamics. The method is contrasted with other related constructions in the\nliterature and some consequences of relaxing the axioms are also discussed: for\nexample, the appearance of nonlinear higher-derivative corrections possibly\nrelated to gravity and spacetime fluctuations. Finally, some open research\nproblems within this approach are highlighted.",
"arxiv_id": "quant-ph/0506005",
"authors": [
"Rajesh R. Parwani"
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"quant-ph",
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"doi": "10.1063/1.2158745",
"title": "Common Axioms for Inferring Classical Ensemble Dynamics and Quantum Theory",
"url": "https://arxiv.org/abs/quant-ph/0506005"
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