Classical mechanics without determinism

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.

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

References in corpus (2)

• Interacting classical and quantum ensembles
• Relativistic quantum mechanics and the Bohmian interpretation

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