The stability principle in physics of non-inertial reference frames

Aim is to demonstrate that the principle of least action follows from the stability requirement. This means that it is possible to obtain fundamental laws of physics from stability, since they are derived from the principle of least action. Methodology. A variational principle is considered which generalizes the classical principle of least action to any reference frames, including random non-inertial ones, and requires not only the first variation of the action function to be zero, but also the second variation of the action function to be non-negative. Results. The principle of least action can be used to obtain the main fundamental laws of physics, therefore it can be argued that they follow from the stability requirement. Research implications. The significance of the study lies in the fact that the axiomatic introduction of the stability principle leads to the axiomatics of mechanics, electrodynamics and other areas of physics.