On a heuristic point of view concerning the motion of matter: From random metric to Schrödinger equation

2005/10/31 by Emilio Santos · 1 citation
Medicine · Physics and Astronomy · #Artificial intelligence #Biofield Effects and Biophysics #Classical mechanics #Equations of motion #Geometry #Heuristic #Mathematical physics #Metric (unit) #Motion (physics) #Physics #Point (geometry) #Quantum Mechanics and Applications #Quantum mechanics #Relativity and Gravitational Theory #Schrödinger equation #Theoretical physics #quant-ph

paper · pdf · doi:10.1016/j.physleta.2005.11.039

published as Physics Letters A 352, 49-54 (2006) · 13 pages, minor changes, publication reference given

openalex publication_date 2005/11/29 · arxiv created 2006/02/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The motion of a particle is studied in a random space-time. It is assumed that the velocity is small enough for the non-relativistic approximation to be valid. The randomness of the metric induces a diffusion in coordinate space. Hence it is shown that the evolution of the probability density is given by Schroedinger equation.

Citations

• Einstein and the quantum theory

Cited by

• Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction