English

An answer to the Wallstrom objection against Nelsonian stochastics

Quantum Physics 2011-04-19 v3

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.

Keywords

Cite

@article{arxiv.1101.5774,
  title  = {An answer to the Wallstrom objection against Nelsonian stochastics},
  author = {I. Schmelzer},
  journal= {arXiv preprint arXiv:1101.5774},
  year   = {2011}
}

Comments

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