Space-time uncertainty relation and operational definition of dimension

Simple item page
dc.creatorMaziashvili, Michael
dc.date2007-09-06
dc.date.accessioned2026-07-07T11:42:16Z
dc.date.available2026-07-07T11:42:16Z
dc.descriptionOperational definition of space-time in light of quantum mechanics and general relativity inevitably indicates an intrinsic imprecision in space-time structure which has to do with space-time dimension as well. The operational dimension of space-time turns out to be a scale dependent quantity slightly smaller than four at distances $\gg l_P$. Close to the Planck length the deviation of space-time dimension from four becomes appreciable. The experimental bounds on the deviation of space-time dimension from four coming from the electron ${\tt g} - 2$ factor, Lamb shift in hydrogen atom and the perihelion shift in the planetary motion are still far from the theoretical predictions.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0709.0898
dc.identifierhttp://arxiv.org/abs/0709.0898
dc.identifierInt.J.Mod.Phys.A23:1747-1756,2008
dc.identifierdoi:10.1142/S0217751X08039827
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200831
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleSpace-time uncertainty relation and operational definition of dimension
dc.typetext

Files

Collections

arXiv