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- W1567853783 abstract "The same set of physically motivated axioms can be used to construct both the classical ensemble Hamilton‐Jacobi equation and Schrödingers 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." @default.
- W1567853783 created "2016-06-24" @default.
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- W1567853783 date "2006-01-01" @default.
- W1567853783 modified "2023-09-27" @default.
- W1567853783 title "Common Axioms for Inferring Classical Ensemble Dynamics and Quantum Theory" @default.
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- W1567853783 doi "https://doi.org/10.1063/1.2158745" @default.
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