19 citations · 151 across the 36 of their papers we have counts for
7 papers · 1 filter
Gauge origin of the Dirac field and singular solutions to the Dirac equation
Vladimir V. Kassandrov
We present and enhance our previous statements (arXiv:0907.4736) on the non-canonical interrelations between the solutions to the free Dirac equation (DE) and the Klein-Gordon equa…
Three kinds of particles on a single rationally parameterized worldline
Vladimir V. Kassandrov, Nina V. Markova
We consider the light cone (`retardation') equation (LCE) of an inertially moving observer and a single worldline parameterized by arbitrary rational functions. Then a set of appar…
Collective Lorentz invariant dynamics on a single "polynomial" worldline
Vladimir V. Kassandrov, Ildus Sh. Khasanov, Nina V. Markova
Consider a worldline of a pointlike particle parametrized by polynomial functions, together with the light cone ("retardation") equation of an inertially moving observer. Then a se…
Algebraic roots of Newtonian mechanics: correlated dynamics of particles on a unique worldline
Vladimir V. Kassandrov, Ildus Sh. Khasanov
In the development of the old ideas of Stueckelberg-Wheeler-Feynman on the "one-electron Universe", we study the purely algebraic dynamics of the ensemble of(two kinds of) identica…
Urusovskii's geometry, algebrodynamics and universal quantum-like kinematics in complex space
V. V Kassandrov
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 th…
Dimerous Electron and Quantum Interference beyond the Probability Amplitude Paradigm
Vladimir V. Kassandrov
We generalize the formerly proposed relationship between a special complex geometry (originating from the structure of biquaternion algebra) and induced real geometry of (extended)…