Mass-proper time uncertainty relation in a manifestly covariant relativistic statistical mechanics

L. Burakovsky, L. P. Horwitz, W. C. Schieve

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We prove the uncertainty relation TΔVΔm ≥ 2πℏ/c2, which is realized on a statistical mechanical level for an ensemble of events in (1 + D)-dimensional spacetime with motion parameterized by an invariant "proper time" τ, where TΔV is the average passage interval in τ for the events which pass through a small (typical) (1 + D)-volume ΔV, and Δm is the dispersion of mass around its on-shell value in such an ensemble. We show that a linear mass spectrum is a completely general property of a (1 + D)-dimensional off-shell theory.

Original languageEnglish
Pages (from-to)503-516
Number of pages14
JournalFoundations of Physics Letters
Volume10
Issue number6
DOIs
StatePublished - Dec 1997

Keywords

  • Special relativity
  • Uncertainty relations

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