Resolution of the problem of time in quantum gravity

dc.creatorLarsson, T. A.
dc.date2001-10-18
dc.date2003-06-17
dc.date.accessioned2026-07-07T04:12:32Z
dc.date.available2026-07-07T04:12:32Z
dc.descriptionThe metric determines the casual structure of spacetime, but in quantum gravity it is also a dynamical field which must be quantized using this causal structure; this is the famous problem of time. A radical resolution of this paradox is proposed: remove the concept of space-like separation entirely. This can be done by describing all fields in terms on p-jets, living on the observer's trajectory; all points on the trajectory have time-like separations. Such a description is necessary to construct well-defined representations the N-dimensional generalization of the Virasoro algebra Vir(N); this is the natural quantum extension of vect(N), which is the correct symmetry algebra of general relativity in N dimensions. The limit p -> oo, necessary for a field theory interpretation, only exists if N = 4 and there are three fermions for every two bosons, a relation that is satisfied in the standard model coupled to gravity.
dc.descriptionName of paper changed since the term "causality paradox" refers to the problem of time. Material on the generalization of the Virasoro algebra beyond one dimension expanded
dc.identifierhttps://arxiv.org/abs/hep-th/0110166
dc.identifierhttp://arxiv.org/abs/hep-th/0110166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50934
dc.subjectHigh Energy Physics - Theory
dc.titleResolution of the problem of time in quantum gravity
dc.typetext

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