Bosonic field equations from an exact uncertainty principle

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dc.creatorHall, Michael J. W.
dc.creatorKumar, Kailash
dc.creatorReginatto, Marcel
dc.date2003-07-26
dc.date.accessioned2026-07-07T10:49:41Z
dc.date.available2026-07-07T10:49:41Z
dc.descriptionA Hamiltonian formalism is used to describe ensembles of fields in terms of two canonically conjugate functionals (one being the field probability density). The postulate that a classical ensemble is subject to nonclassical fluctuations of the field momentum density, of a strength determined solely by the field uncertainty, is shown to lead to a unique modification of the ensemble Hamiltonian. The modified equations of motion are equivalent to the quantum equations for a bosonic field, and thus this exact uncertainty principle provides a new approach to deriving and interpreting the properties of quantum ensembles. The examples of electromagnetic and gravitational fields are discussed. In the latter case the exact uncertainty approach specifies a unique operator ordering for the Wheeler-DeWitt and Ashtekar-Wheeler-DeWitt equations.
dc.description24 pages, extended version of part (B) of hep-th/0206235, to appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-th/0307259
dc.identifierhttp://arxiv.org/abs/hep-th/0307259
dc.identifierJ.Phys.A36:9779-9794,2003
dc.identifierdoi:10.1088/0305-4470/36/37/313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184303
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectQuantum Physics
dc.titleBosonic field equations from an exact uncertainty principle
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