Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-04-18
Found.Phys.Lett. 10 (1997) 503-516
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 13 pages
Scientific paper
We prove the uncertainty relation $T_{\triangle V}\triangle m\stackrel{>}{\sim }2\pi \hbar /c^2,$ 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'' $\tau ,$ where $T_{\triangle V}$ is the average passage interval in $\tau $ 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.
Burakovsky Leonid
Horwitz Lawrence P.
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