8 citations · 19 across the 4 of their papers we have counts for
4 papers
The algebrodynamics: super-conservative collective dynamics on a "Unique Worldline'' and the Hubble's law
Vladimir V. Kassandrov, Ildus Sh. Khasanov
We study the properties of roots of a polynomial system of equations which define a set of identical point particles located on a Unique Worldline (UW), in the spirit of the old Wh…
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 dynamics on a single worldline: Vieta formulas and conservation laws
V. V. Kassandrov, I. Sh. Khasanov, N. V. Markova
In development of the old conjecture of Stuckelberg, Wheeler and Feynman on the so-called "one electron Universe", we elaborate a purely algebraic construction of an ensemble of id…
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…