Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-12
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, no figures, Latex
Scientific paper
This 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 $E=h\nu$ is naturally obtained as an integral translational-rotational consistency relation.
Donev Stoil
Tashkova Maria
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