engleski

Classical mechanics without determinism

Classical statistical particle mechanics 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. The usual deterministic particle trajectories existing even when they are not measured play a role of unmeasured hidden variables analogous to the Bohmian hidden variables in ordinary quantum mechanics. It is argued that linearity is a crucial property that allows the formulation of a measurement in terms of an effective wave-function collapse. In the classical case, the wave function that satisfies a linear equation is real, which is the main source of the fundamental difference between classical and quantum mechanics.

classical mechanics ; determinism ; nonlinear Schrodinger equation

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