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Classical mechanics as nonlinear quantum mechanics

Quantum Physics 2014-11-18 v1 High Energy Physics - Theory

Abstract

All measurable predictions of classical mechanics can be reproduced from a quantum-like interpretation of a nonlinear Schrodinger equation. The key observation leading to classical physics is the fact that a wave function that satisfies a linear equation is real and positive, rather than complex. This has profound implications on the role of the Bohmian classical-like interpretation of linear quantum mechanics, as well as on the possibilities to find a consistent interpretation of arbitrary nonlinear generalizations of quantum mechanics.

Keywords

Cite

@article{arxiv.0707.2319,
  title  = {Classical mechanics as nonlinear quantum mechanics},
  author = {H. Nikolic},
  journal= {arXiv preprint arXiv:0707.2319},
  year   = {2014}
}

Comments

7 pages, invited talk given at conference Quantum Theory: Reconsideration of Foundations 4, Vaxjo, Sweden, June 11-16, 2007

R2 v1 2026-06-21T08:58:41.378Z