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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.
Received: 16.01.2020 Revised: 04.04.2020
Citation:
R. A. Sventkovsky, “The Equations of Dirac and Maxwell as a Result of Combining Minkowski Space and the Space of Orientations into Seven-Dimensional Space-Time”, Mat. Zametki, 108:3 (2020), 412–427; Math. Notes, 108:3 (2020), 381–393
Linking options:
https://www.mathnet.ru/eng/mzm12710https://doi.org/10.4213/mzm12710 https://www.mathnet.ru/eng/mzm/v108/i3/p412
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