Physics, control, and Kolmogorov complexity

The paper addresses a new possible approach to interrelations between physics, control, and mathematics. The approach is based on a principally new mathematical theory: Kolmogorov complexity that rejects infinite precision in numbers and algorithms. In the paper this principle is taken as a necessary condition for physically meaningful interrelations between indicated above sciences. To satisfy this condition the paper starts with (physical) definitions of K-numbers and K-observables. On this basis the corresponding notions of Kontrol, Kaos, K-systems, and K-gauge are introduced. This permits to establish a bridge between control and dynamical systems that traditionally are considered as different objects. One of results of this approach: K-equivalence of optimal control and optimal gauge (interrelation: control-gauge). Algorithmic efficiency of the approach is demonstrated by examples.