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arXiv · 0705.4170

Frobenius Curvature, Electromagnetic Strain and Description of Photon-like Objects

Stoil Donev·Maria Tashkova
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Abstract

This paper aims to present a general idea for description of spatially finite physical objects with a consistent nontrivial translational-rotational dynamical structure and evolution as a whole, making use of the mathematical concepts and structures connected with the Frobenius integrability/nonintegrability theorems and electromagnetic strain quantities. The idea is based on consideration of {\it nonintegrable} subdistributions of some appropriate completely integrable distribution (differential system) on a manifold and then to make use of the corresponding curvatures and correspondingly directed strains as measures of interaction, i.e. of energy-momentum exchange among the physical subsystems mathematically represented by the nonintegrable subdistributions. The concept of photon-like object is introduced and description (including lagrangian) of such objects in these terms is given.

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Stoil Donev, Maria Tashkova. 2008-03-05. Frobenius Curvature, Electromagnetic Strain and Description of Photon-like Objects. https://arxiv.org/abs/0705.4170

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