A note on the quantum of time

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dc.creatorIsidro, J. M.
dc.creatorGonzalez-Santander, J. L.
dc.creatorde Cordoba, P. Fernandez
dc.date2008-04-01
dc.date2008-04-10
dc.date.accessioned2026-07-07T11:49:31Z
dc.date.available2026-07-07T11:49:31Z
dc.descriptionQuantum mechanics rests on the assumption that time is a classical variable. As such, classical time is assumed to be measurable with infinite accuracy. However, all real clocks are subject to quantum fluctuations, which leads to the existence of a nonzero uncertainty in the time variable. The existence of a quantum of time modifies the Heisenberg evolution equation for observables. In this letter we propose and analyse a generalisation of Heisenberg's equation for observables evolving in real time (the time variable measured by real clocks), that takes the existence of a quantum of time into account. This generalisation of Heisenberg's equation turns out to be a delay-differential equation.
dc.description4 pages, some refs added
dc.identifierhttps://arxiv.org/abs/0804.0169
dc.identifierhttp://arxiv.org/abs/0804.0169
dc.identifierMod.Phys.Lett.A23:1161-1165,2008
dc.identifierdoi:10.1142/S0217732308027126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203260
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleA note on the quantum of time
dc.typetext

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