Abstract
This study links the fractal structure of physical space-time to quantum-mechanical laws. It is shown that primitive distortions of the pregeometric surface, a fractal cell of 3D space, gives birth to a condition eliminating the metric defect while providing “eternal validity” of the exclusive algebras (of real, complex, and quaternion numbers). Written in the physical units typical for the micro-world entities, this condition acquires the precise form of the Pauli equation describing mechanics of the quantum electron with spin.
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Funding
This study has been performed in the framework of the program to improve the competitiveness of the RUDN University among the world leading research and education centers in 2016–2020.
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The present issue of the journal is No. 100 since it was founded in 1995.
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Yefremov, A.P. The Fractal Structure of Space Entails Origin of Pauli’s Equation. Gravit. Cosmol. 25, 305–309 (2019). https://doi.org/10.1134/S0202289319040157
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DOI: https://doi.org/10.1134/S0202289319040157