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Limiting transition to the Dirac equation from binary geometrophysics
Zhilkin A.G.
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.
Keywords: binary geometrophysics, conformal transformations, classical measurement apparatus, quantum reduction, Dirac equation
UDC: 530.1
PACS: 03.65.Pm, 03.65.Ta
DOI: 10.17238/issn2226-8812.2024.3-4.67-79
Please cite this article in English as:
Zhilkin A. G. Limiting transition to the Dirac equation from binary geometrophysics. Space, Time and
Fundamental Interactions, 2024, no. 3-4, pp. 67–79.