Urusovskii's geometry, algebrodynamics and universal quantum-like kinematics in complex space
V.V Kassandrov

TL;DR
This paper combines Urusovskii's 6D special relativity and algebrodynamics in complex space-time to provide a classical explanation of quantum phenomena like the two-slit experiment, with some predicted deviations from standard quantum theory.
Contribution
It introduces a unified framework merging two geometric approaches to explain quantum-like behavior through classical complex space-time geometry.
Findings
Proposes a classical explanation for the two-slit experiment.
Identifies small corrections to quantum theory predictions.
Suggests a universal kinematic model in complex space.
Abstract
In the "6D treatment of Special Relativity" proposed by Igor A. Urusovskii one deals with universal light-like motion of matter pre-elements in the extended (3+3) space and with their regular rotation in the additional 3-space. On the other hand, in the framework of our algebrodynamical approach one naturally comes to the complex space-time geometry resulting in a universal kinematics that resembles the well-known Wheeler-Feynmann "one electron representation". Combining the two approaches, we propose a simple classical explanation of the canonical two-slit experiment. Some small corrections to the predictions of quantum theory are established.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic and Geometric Analysis · Algebraic structures and combinatorial models
