Abstract
The fractal equations of mechanics (quantum and classical) are clearly demonstrated to be definitions of an arbitrary potential on a fractal complex number valued surface. The developed approach helps us to show that a translational motion of any rotating compact object (point-like particle) can be equivalently represented by a specific rotation of a virtual ring described in terms of a fractal “wave function”, the model endowing the particle with a set of quantum characteristics including quantization of the ring’s space translation.
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Yefremov, A.P. Virtual ring and quantum elements of a classical particle. Gravit. Cosmol. 22, 225–229 (2016). https://doi.org/10.1134/S0202289316030129
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DOI: https://doi.org/10.1134/S0202289316030129