| dc.creator | | |
| dc.creator | | |
| dc.creator | Andrew Chubykalo | |
| dc.creator | | |
| dc.date | 2017-07 | |
| dc.date.accessioned | 2022-10-12T19:49:26Z | |
| dc.date.available | 2022-10-12T19:49:26Z | |
| dc.identifier | 0003-4916 | |
| dc.identifier | http://hdl.handle.net/20.500.11845/534 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4122788 | |
| dc.description | 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. | |
| dc.description | Producción Científica de la Universidad Autónoma de Zacatecas UAZ | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.subject | Action–reaction | |
| dc.subject | Translation invariance | |
| dc.subject | Energy and momentum conservation | |
| dc.subject | Rearrangement of initial degrees of freedom | |
| dc.title | The origin of the energy–momentum conservation law | |
| dc.type | info:eu-repo/semantics/article | |
| dc.audience | generalPublic | |
