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Mat. Zametki, 2020 Volume 108, Issue 3, Pages 412–427 (Mi mzm12710)

The Equations of Dirac and Maxwell as a Result of Combining Minkowski Space and the Space of Orientations into Seven-Dimensional Space-Time

R. A. Sventkovsky

Center of Information Technologies and Systems for Executive Power Authorities, Moscow

Abstract: The multicomponent wave function of the spin and vector fields is presented as a one-component function depending on the position and orientation of the zero-size moving rotating observer. It is shown that the Dirac and Maxwell equations and a fine structure constant are the result of the connection of two spaces: the Minkowski space and the space of orientations (the observer), and this relationship is not mathematical, but physical in nature.

Keywords: seven-dimensional space-time, spinor representation of the Lorentz group.

UDC: 514.8+539.1+530.1

Received: 16.01.2020
Revised: 04.04.2020

DOI: 10.4213/mzm12710


 English version:
Mathematical Notes, 2020, 108:3, 381–393

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© Steklov Math. Inst. of RAS, 2024