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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 2, Pages 323–336
DOI: https://doi.org/10.4213/tmf6732
(Mi tmf6732)
 

This article is cited in 7 scientific papers (total in 7 papers)

Generalized relativistic kinematics

S. N. Manida

Saint Petersburg State University, St. Petersburg, Russia
Full-text PDF (444 kB) Citations (7)
References:
Abstract: We propose a method for deforming an extended Galilei algebra that leads to a nonstandard realization of the Poincaré group with the Fock–Lorentz linear fractional transformations. The invariant parameter in these transformations has the dimension of length. Combining this deformation with the standard one (with an invariant velocity $c$) leads to the algebra of the symmetry group of the anti-de Sitter space in Beltrami coordinates. In this case, the action for free point particles contains the dimensional constants $R$ and $c$. The limit transitions lead to the ordinary ($R\to\infty$) or alternative ($c\to\infty$) but nevertheless relativistic kinematics.
Keywords: principle of relativity, relativistic kinematics, Galilei algebra, Poincaré group, anti-de Sitter space.
Received: 19.11.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 2, Pages 1643–1655
DOI: https://doi.org/10.1007/s11232-011-0141-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. N. Manida, “Generalized relativistic kinematics”, TMF, 169:2 (2011), 323–336; Theoret. and Math. Phys., 169:2 (2011), 1643–1655
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6732
  • https://www.mathnet.ru/eng/tmf/v169/i2/p323
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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