Integrability-Nonintegrability Structures and Individual Photons' Description as Finite Field Objects

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dc.creatorDonev, Stoil
dc.creatorTashkova, Maria
dc.date2005-08-12
dc.date.accessioned2026-07-07T06:20:27Z
dc.date.available2026-07-07T06:20:27Z
dc.descriptionThis paper presents an attempt to come to a natural field model of individual photons considered as finite entities and propagating along some distinguished direction in space in a consistent translational-rotational manner. The starting assumption reflects their most trustful property to propagate translationally in a uniform way along straight lines. The model gives correct energy-momentum characteristics and connects the rotational characteristics of photons with corresponding nonintegrability (or curvature) of some 2-dimensional distributions (or Pfaff systems) on $\mathbb{R}^4$. It is obtained that the curvature is proportional to the corresponding energy-density. The field equations are obtained through a Lagrangian and they express a consistency condition between photon's translational and rotational propagation properties. The energy tensor is deduced directly from the equations since the corresponding Hilbert energy-tensor becomes zero on the solutions. Planck's formula $E=hν$ is naturally obtained as an integral translational-rotational consistency relation.
dc.description17 pages, no figures, Latex
dc.identifierhttps://arxiv.org/abs/hep-th/0508091
dc.identifierhttp://arxiv.org/abs/hep-th/0508091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95329
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleIntegrability-Nonintegrability Structures and Individual Photons' Description as Finite Field Objects
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