Título

The origin of the energy–momentum conservation law

Autor

Andrew Chubykalo

Augusto Espinoza

Nivel de Acceso

Acceso Abierto

Resumen o descripción

The interplay between the action–reaction principle and the

energy–momentum conservation law is revealed by the examples

of the Maxwell–Lorentz and Yang–Mills–Wong theories, and general

relativity. These two statements are shown to be equivalent in

the sense that both hold or fail together. Their mutual agreement

is demonstrated most clearly in the self-interaction problem by

taking account of the rearrangement of degrees of freedom appearing

in the action of the Maxwell–Lorentz and Yang–Mills–Wong

theories. The failure of energy–momentum conservation in general

relativity is attributed to the fact that this theory allows solutions

having nontrivial topologies. The total energy and momentum of a

system with nontrivial topological content prove to be ambiguous,

coordinatization-dependent quantities. For example, the energy of

a Schwarzschild black hole may take any positive value greater

than, or equal to, the mass of the body whose collapse is responsible

for forming this black hole. We draw the analogy to the paradoxial Banach–Tarski theorem; the measure becomes a poorly

defined concept if initial three-dimensional bounded sets are rearranged

in topologically nontrivial ways through the action of free

non-Abelian isometry groups.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Fecha de publicación

julio de 2017

Tipo de publicación

Artículo

Recurso de información

Formato

application/pdf

Idioma

Inglés

Audiencia

Público en general

Repositorio Orígen

Repositorio Institucional Caxcán

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