A quantum model of space-time-matter

dc.creatorCohen, Isaac
dc.date2005-03-24
dc.date.accessioned2026-07-07T04:18:12Z
dc.date.available2026-07-07T04:18:12Z
dc.descriptionWe study a quantum mechanics with the usual postulates but in which the Heisenberg algebra of canonical commutation relations and the Poincare algebra are replaced by the Lie algebra of the homogeneous Lorentz group SO(5,1). It arises from the hypothesis that the above group is the fundamental group of invariance for the laws of physics. The observables of the theory like position, time, momentum, energy, angular momentum and others are the generators of the algebra of the group. Neither position and time observables commute between them, nor momentum and energy observables. The algebra of Poincare quantum mechanics is recovered in the limit in which two parameters, that we physically interpret as the Hubble constant and the Planck mass, are taken to zero and infinite respectively. We consider the equations that are satisfied by the spinor representation of the group.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0503187
dc.identifierhttp://arxiv.org/abs/hep-th/0503187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53077
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA quantum model of space-time-matter
dc.typetext

Files

Collections