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physics.gen-ph2021★ 1 cited
Conservative relativistic algebrodynamics induced on an implicitly defined worldline
Abdel Challa, Vladimir V. Kassandrov, Nina V. Markova
In the framework of the Stueckelberg-Wheeler-Feynman concept of a ``one-electron Universe'' we consider a worldline implicitly defined by a system of algebraic (precisely, polynomi…
physics.gen-ph2017★ 2 cited
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…