  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.
