Model of a power balance for a stage with arbitrary acceleration

A short deduction of stability condition saving quaternion algebra under conformal stretching of a basic spinor surface is given. When written in physical variables this condition becomes precisely the Schrodinger equation of quantum mechanics. Separation into real and imaginary parts leads to a system of «universal» equations equivalent to the mass conservation law and to the Hamilton-Jacobi equation of classical mechanics. It is demonstrated that the «universal» equations have an exact solution describing the Bohr’s model of hydrogen atom involving in this case no heuristic postulates.