Dimerous Electron and Quantum Interference beyond the Probability Amplitude Paradigm

Abstract: We generalize the formerly proposed relationship between a special complex geometry (originating from the structure of biquaternion algebra) and induced real geometry of (extended) space-time. The primordial dynamics in complex space allows for a new realization of the "one electron Universe" of Wheeler-Feynman (the so called "ensemble of duplicons") and leads to a radical concept of "dimerous" (consisting of two identical matter pre-elements, "duplicons") electron. Using this concept, together with an additional phase-like invariant (arising from the complex pre-geometry), we manage to give a visual classical explanation for quantum interference phenomena and, in particular, for the canonical two-slit experiment. Fundamental relativistic condition of quantum interference generalizing the de Broglie relationship is obtained, and an experimentally verifiable distinction in predictions of quantum theory and presented algebrodynamical scheme is established.