Título
The origin of the energy–momentum conservation law
Autor
Andrew Chubykalo
Augusto Espinoza
Nivel de Acceso
Acceso Abierto
Materias
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
http://hdl.handle.net/20.500.11845/534
0003-4916
Formato
application/pdf
Idioma
Inglés
Audiencia
Público en general
Repositorio Orígen
Repositorio Institucional Caxcán
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