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arXiv · 1101.5774

An answer to the Wallstrom objection against Nelsonian stochastics

I. Schmelzer
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Abstract

A serious objection made by Wallstrom against quantum interpretations based flow variables, in particular Nelsonian stochastics, is their empirical inequivalence with quantum theory: They are unable to obtain a quantization condition for flows around zeros which is automatically fulfilled by the wave function. It is found that the quantization condition follows from a simple additional postulate: The Laplace operator of the density has to be finite and positive at zeros of the density. This postulate is a quite natural consequence of subquantum theories, as far as they conform to a simple principle of minimal distortion of the quantum solutions.

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I. Schmelzer. 2011-01-30. An answer to the Wallstrom objection against Nelsonian stochastics. https://arxiv.org/abs/1101.5774

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