Narrow Results

This paper aims to present a general idea for description of finite physical objects with consistent internal dynamical structure and evolution as a whole making use of the mathematical concepts and structures connected with the Frobenius integrability/nonintegrability theorems and to present an example. The idea consists in to consider some distribution Δ_o of vector fields on a manifold, then to separate some integrable subdistribution Δ ⊂ Δ_o, representing the integrity of the object considered. The curvatures of all nonintegrable subdistributions of Δ will be interpreted as generators of processes of internal energy-momentum exchange, i.e. of the internal dynamics of the object. The curvatures of distributions including vector fields from Δ_o and Δ will be interpreted as generators of interaction of the physical object with the outside world. Example of photon-like objects is considered in detail.