Curvature Forms and Interaction of Fields

Abstract

We work out the general idea that a composite continuous physical system can be mathematically modelled locally as a completely integrable geometric distribution on a manifold, the time-recognizable subsystems to be modelled by corresponding subdistributions, and any local interaction between two subsystems of the physical system to be described in terms of the nonintegrability of the two subdistributions making use of the corresponding two curvature forms. As an illustration we present the corresponding description of photon-like objects, based on the notion that photon-like objects are real, massless time-stable physical objects with intrinsically compatible translational-rotational dynamical structure. The spatial propagation of the system follows some external/shuffling symmetry of the distribution.