Three kinds of particles on a single rationally parameterized world line
| Autor: | Vladimir V. Kassandrov, Nina V. Markova |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Complex conjugate Observer (quantum physics) 010308 nuclear & particles physics Differential equation Lorentz transformation Mathematical analysis FOS: Physical sciences Astronomy and Astrophysics Rational function 01 natural sciences symbols.namesake General Physics (physics.gen-ph) Physics - General Physics Light cone 0103 physical sciences symbols Proper time Algebraic number 010306 general physics |
| Zdroj: | Gravitation and Cosmology. 22:363-367 |
| ISSN: | 1995-0721 0202-2893 |
| Popis: | 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 apparent copies, R- or C-particles, defined by the (real or complex conjugate) roots of the LCE will be detected by the observer. For any rational worldline the collective R-C dynamics is manifestly Lorentz-invariant and conservative; the latter property follows directly from the structure of Vieta formulas for the LCE roots. In particular, two Lorentz invariants, the square of total 4-momentum and total rest mass, are distinct and both integer-valued. Asymptotically, at large values of the observer's proper time, one distinguishes three types of the LCE roots and associated R-C particles, with specific locations and evolutions; each of three kinds of particles can assemble into compact large groups - clusters. Throughout the paper, we make no use of differential equations of motion, field equations, etc.: the collective R-C dynamics is purely algebraic 5 pages, twocolumn |
| Databáze: | OpenAIRE |
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