On the Uncertainty Principle for Proper Time and Mass

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dc.creatorRam, B.
dc.date2002-12-26
dc.date.accessioned2026-07-07T04:29:41Z
dc.date.available2026-07-07T04:29:41Z
dc.descriptionIn [J. Math. Phys. {\bf 40}, 1237 (1999)] Kudaka and Matsumoto derive the uncertainty relation $c^2 Δm Δτ\geq \hbar/2$ between the rest mass $m$ and the proper time $τ$, by considering the Lagrangian $M(\dot τ- c^{-1} \sqrt{-g_{μν} \dot x^μ\dot x^ν}) + e A_μ(x) \dot x^μ$. In this note we give an alternative derivation based on a special case of the time-like geodesic equation obtained using the general relativistic Lagrangian $g_{μν} \frac{dx^μ}{d τ}\frac{dx^ν}{d τ}$.
dc.description9 pages, uses subeqn.sty
dc.identifierhttps://arxiv.org/abs/math-ph/0212071
dc.identifierhttp://arxiv.org/abs/math-ph/0212071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57248
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleOn the Uncertainty Principle for Proper Time and Mass
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