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An answer to the Wallstrom objection against Nelsonian stochastics

2011/01/30 by I. Schmelzer, Schmelzer, I. · 1 citation
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1101.5774

Considerations about the relevance and rejection of Smolin's attempt added

openalex publication_date 2011/01/30 · arxiv created 2011/04/16 · arxiv updated 2011/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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