Classical mechanics without determinism

Details Classical mechanics without determinism Classical mechanics without determinism

2005-05-19

arxiv.org/abs/quant-ph/0505143v3

Found.Phys.Lett. 19 (2006) 553-566

Physics

Quantum Physics

11 pages, revised, to appear in Found. Phys. Lett

Scientific paper

10.1007/s10702-006-1009-2

Classical statistical particle mechanics in the configuration space can be represented by a nonlinear Schrodinger equation. Even without assuming the existence of deterministic particle trajectories, the resulting quantum-like statistical interpretation is sufficient to predict all measurable results of classical mechanics. In the classical case, the wave function that satisfies a linear equation is positive, which is the main source of the fundamental difference between classical and quantum mechanics.

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