1996/04/18 by L. Burakovsky, L. P. Horwitz
Physics and Astronomy · #hep-th
published as Found.Phys.Lett. 10 (1997) 503-516 · Latex, 13 pages
arxiv created 1996/04/18 · arxiv updated 2009/11/30
We prove the uncertainty relation T\triangle V\triangle m\stackrel>∼ 2πℏ /c2, which is realized on a statistical mechanical level for an ensemble of events in (1+D)-dimensional spacetime with motion parametrized by an invariant ``proper time'' τ, where T\triangle V is the average passage interval in τ for the events which pass through a small (typical) (1+D)-volume \triangle V, and \triangle m 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.