Limiting transition to the Dirac equation from binary geometrophysics

The problem of deriving the quantum Dirac equation from the theory of free (non-interacting) elementary particles in binary geometrophysics is considered. The description of the averaging procedure over elementary bases constituting a classical measurement apparatus is presented. An equation corresponding to the averaged prototype of the Dirac equation within the framework of a given binary system of complex relations is obtained. It is shown that in the case of a continuous set of elementary processes, it is possible to carry out the limiting transition to the quantum Dirac equation.