Relativistic Brownian motion and gravity as an eikonal approximation to a quantum evolution equation

O. Oron, L. P. Horwitz

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We solve the problem of formulating Brownian motion in a relativistically covariant framework in 3+1 dimensions. We obtain covariant Fokker-Planck equations with (for the isotropic case) a differential operator of invariant d'Alembert form. Treating the spacelike and timelike fluctuations separately in order to maintain the covariance property, we show that it is essential to take into account the analytic continuation of "unphysical" fluctuations.

Original languageEnglish
Pages (from-to)1181-1203
Number of pages23
JournalFoundations of Physics
Volume35
Issue number7
DOIs
StatePublished - Jul 2005

Keywords

  • Brownian motion
  • Eikonal
  • Gravity
  • Relativity

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