  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.
