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Classical mechanics without determinism

H. Nikolic
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Abstract

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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H. Nikolic. 2005-05-19. Classical mechanics without determinism. https://doi.org/10.1007/s10702-006-1009-2

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