English

Objective uncertainty relation with classical background in a statistical model

Quantum Physics 2012-09-11 v1

Abstract

We show within a statistical model of quantization reported in the previous work based on Hamilton-Jacobi theory with a random constraint that the statistics of fluctuations of the actual trajectories around the classical trajectories in velocity and position spaces satisfy a reciprocal uncertainty relation. The relation is objective (observation independent) and implies the standard quantum mechanical uncertainty relation.

Keywords

Cite

@article{arxiv.1208.5733,
  title  = {Objective uncertainty relation with classical background in a statistical model},
  author = {Agung Budiyono},
  journal= {arXiv preprint arXiv:1208.5733},
  year   = {2012}
}

Comments

11 pages (accepted for publication in Physica A)

R2 v1 2026-06-21T21:56:28.607Z