A "general boundary" formulation for quantum mechanics and quantum gravity

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dc.creatorOeckl, Robert
dc.date2003-06-03
dc.date2003-10-16
dc.date.accessioned2026-07-07T04:15:19Z
dc.date.available2026-07-07T04:15:19Z
dc.descriptionI propose to formalize quantum theories as topological quantum field theories in a generalized sense, associating state spaces with boundaries of arbitrary (and possibly finite) regions of space-time. I further propose to obtain such ``general boundary'' quantum theories through a generalized path integral quantization. I show how both, non-relativistic quantum mechanics and quantum field theory can be given a ``general boundary'' formulation. Surprisingly, even in the non-relativistic case, features normally associated with quantum field theory emerge from consistency conditions. This includes states with arbitrary particle number and pair creation. I also note how three dimensional quantum gravity is an example for a realization of both proposals and suggest to apply them to four dimensional quantum gravity.
dc.description5 pages, 2 figures, LaTeX + revtex4 + eps; abstract shortened, other minor corrections, references updated
dc.identifierhttps://arxiv.org/abs/hep-th/0306025
dc.identifierhttp://arxiv.org/abs/hep-th/0306025
dc.identifierPhys.Lett. B575 (2003) 318-324
dc.identifierdoi:10.1016/j.physletb.2003.08.043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51955
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectQuantum Physics
dc.titleA "general boundary" formulation for quantum mechanics and quantum gravity
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