Photon-like objects are real massless time-stable and spatially finite physical objects with an intrinsically compatible translational-rotational dynamical structure. They carry energy- momentum and propagate as a whole in a translational-rotational periodic manner by the speed of light. The corresponding integral action for one period T is given by the Planck-like constant ”h = ET”, where ”E” is the full energy of the photon-like object. They are composite objects, each one consists of two time recognizable and energy-momentum exchanging continuous subsystems carrying the same stress-energy-momentum and being in a state of dynamical equilibrium. The mutually exchanged energy for one period gives the elementary action ”h”. Photon-like objects follow the rule: no translation as a whole is possible without local rotation, and no local rotation is possible without translation as a whole. The adequate mathematics we came to was Extended Lie derivative and Frobenius integrability/nonintegrability theory of geometric distributions.