ISSN:
1572-9524
Keywords:
Special relativity
;
uncertainty relations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We prove the uncertainty relation T ΔV Δm≥2πħ/c 2, 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 T ΔV 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022473701046
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