Conservative Relativistic Algebrodynamics Induced on an Implicitly Defined World Line
| Autor: | Nina V. Markova, Vladimir V. Kassandrov, Abdel Challa |
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| Rok vydání: | 2019 |
| Předmět: |
Physics
Physics::General Physics Polynomial Inertial frame of reference Complex conjugate 010308 nuclear & particles physics Astronomy and Astrophysics Lorentz covariance Observer (physics) 01 natural sciences Physics - General Physics Light cone 0103 physical sciences Proper time Algebraic number 010303 astronomy & astrophysics Mathematical physics |
| Zdroj: | Gravitation and Cosmology. 25:383-389 |
| ISSN: | 1995-0721 0202-2893 |
| Popis: | 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, polynomial) equations. Collection of pointlike ``particles'' of two kinds on the worldline (or its complex extension) is defined by the real (complex conjugate) roots of the polynomial system and detected then by an external inertial observer through the light cone connections. Then the observed collective dynamics of the particles' ensemble is, generally, subject to a number of Lorentz invariant conservation laws. Remarkably, this poperty follows from the Vieta's formulas for the roots of the generating polynomial system. At some discrete moments of the observer's proper time, mergings and subsequent transmutations of a pair of particles-roots take place simulating thus the processes of annihilation/creation of a particle/antiparticle pair Comment: 7 pages, twoside, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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