Algebrodynamics over complex space and phase extension of the Minkowski geometry |
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Authors: | V V Kassandrov |
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Institution: | (1) Institute of Gravitation and Cosmology, Peoples’ Friendship University, Moscow, Russia |
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Abstract: | First principles should predetermine physical geometry and dynamics both together. In the “algebrodynamics” they follow solely
from the properties of biquaternion algebra and the analysis over . We briefly present the algebrodynamics over Minkowski background based on a nonlinear generalization to of the Cauchi-Riemann analyticity conditions. Further, we consider the effective real geometry uniquely resulting from the
structure of multiplication and found it to be of the Minkowski type, with an additional phase invariant. Then we pass to study the primordial
dynamics that takes place in the complex space and brings into consideration a number of remarkable structures: an ensemble of identical correlated matter pre-elements
(“duplicons”), caustic-like signals (interaction carriers), a concept of random complex time resulting in irreversibility
of physical time at macrolevel, etc. In partucular, the concept of “dimerous electron” naturally arises in the framework of
complex algebrodynamics and, together with the above-mentioned phase invariant, allows for a novel approach to explanation
of quantum interference phenomena alternative to recently accepted wave—particle dualism paradigm.
The text was submitted by the author in English. |
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Keywords: | |
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