Algebrodynamics Over Complex Space and Phase Extension of the Minkowski Geometry

摘要

First principles should predetermine physical geometry and dynamics both together. In the _°algebrodynamics_± they follow solely from the properties of biquaternion algebra B and the analysis over B. We briefly present the algebrodynamics over Minkowski background based on a nonlinear generalization to Ii of the Cauchi_Riemann analyticity conditions. Further, we consider the effective real geometry uniquely resulting front the structure of B 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 B 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.