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Mass-Proper Time Uncertainty Relation in a Manifestly Covariant Relativistic Statistical Mechanics

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Foundations of Physics Letters

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.

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Authors and Affiliations

  1. Theoretical Division, T-8, Los Alamos National Laboratory, Los Alamos, New Mexico, 87545

    L. Burakovsky

  2. School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey, 08540

    L. P. Horwitz

  3. Ilya Prigogine Center for Studies in Statistical Mechanics, University of Texas at Austin, Austin, Texas, 78712

    W. C. Schieve

Authors
  1. L. Burakovsky
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  2. L. P. Horwitz
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  3. W. C. Schieve
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Additional information

On sabbatical leave from School of Physics and Astronomy, Tel Aviv Uniersity, Ramat Aviv, Israel. Also at Department of Physics, Bar-Ilan University, Ramat-Gan, Israel

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Burakovsky, L., Horwitz, L.P. & Schieve, W.C. Mass-Proper Time Uncertainty Relation in a Manifestly Covariant Relativistic Statistical Mechanics. Found Phys Lett 10, 503–516 (1997). https://doi.org/10.1023/A:1022473701046

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  • DOI: https://doi.org/10.1023/A:1022473701046

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