Quasitemporal structure and symmetries in histories-based generalized quantum mechanics in curved spacetime

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dc.creatorDass, Tulsi
dc.creatorJoglekar, Yogesh N.
dc.date1999-05-10
dc.date2000-09-17
dc.date.accessioned2026-07-07T03:33:11Z
dc.date.available2026-07-07T03:33:11Z
dc.descriptionThe formalism for histories-based generalized quantum mechanics developed in two earlier papers is applied to the treatment of histories (of particles or fields or more general objects) in curved spacetimes (which need not admit foliation in spacelike hypersurfaces). The construction of the space of temporal supports (a partial semigroup generalizing the space of finite time sequences employed in traditional temporal description of histories) employs spacelike subsets of spacetime having dimensionality less than or equal to three. Definition of symmetry is sharpened by the requirement of continuity of mappings (employing topological partial semigroups). It is shown that with this proviso, a symmetry in our formalism implies a conformal isometry of the spacetime metric.
dc.description13 pages. Several typos corrected. A combined version of gr-qc/9812018 and this paper (available at gr-qc/0001006) will be published in Annals of Physics
dc.identifierhttps://arxiv.org/abs/gr-qc/9905028
dc.identifierhttp://arxiv.org/abs/gr-qc/9905028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36519
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectQuantum Physics
dc.titleQuasitemporal structure and symmetries in histories-based generalized quantum mechanics in curved spacetime
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