On Finslerian extension of special relativity

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On Finslerian extension of special relativity. / Sagaydak, Alina E.; Silagadze, Zurab K.

In: Modern Physics Letters A, Vol. 37, No. 17, 2250106, 07.06.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Sagaydak, AE & Silagadze, ZK 2022, 'On Finslerian extension of special relativity', Modern Physics Letters A, vol. 37, no. 17, 2250106. https://doi.org/10.1142/S0217732322501061

APA

Sagaydak, A. E., & Silagadze, Z. K. (2022). On Finslerian extension of special relativity. Modern Physics Letters A, 37(17), [2250106]. https://doi.org/10.1142/S0217732322501061

Vancouver

Sagaydak AE, Silagadze ZK. On Finslerian extension of special relativity. Modern Physics Letters A. 2022 Jun 7;37(17):2250106. doi: 10.1142/S0217732322501061

Author

Sagaydak, Alina E. ; Silagadze, Zurab K. / On Finslerian extension of special relativity. In: Modern Physics Letters A. 2022 ; Vol. 37, No. 17.

BibTeX

@article{1272455cdca54c8abc5b8d9ef08ba8a0,

title = "On Finslerian extension of special relativity",

abstract = "In this paper, we demonstrate that Robb-Geroch's definition of a relativistic interval admits a simple and fairly natural generalization leading to a Finsler extension of special relativity. Another justification for such an extension goes back to the works of Lalan and Alway and, finally, was put on a solid basis and systematically investigated by Bogoslovsky under the name {"}Special-relativistic theory of locally anisotropic spacetime{"}. The isometry group of this spacetime, DISIMb(2), is a deformation of the Cohen and Glashow's very special relativity symmetry group ISIM(2). Thus, the deformation parameter b can be regarded as an analog of the cosmological constant characterizing the deformation of the Poincare group into the de Sitter (anti-de Sitter) group. The simplicity and naturalness of Finslerian extension in the context of this paper adds weight to the argument that the possibility of a nonzero value of b should be carefully considered. ",

keywords = "Finsler geometry, Lalan-Alway-bogoslovsky metric, Relativistic interval, Special relativity, Very special relativity",

author = "Sagaydak, {Alina E.} and Silagadze, {Zurab K.}",

note = "Publisher Copyright: {\textcopyright} 2022 World Scientific Publishing Company.",

year = "2022",

month = jun,

day = "7",

doi = "10.1142/S0217732322501061",

language = "English",

volume = "37",

journal = "Modern Physics Letters A",

issn = "0217-7323",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "17",

}

RIS

TY - JOUR

T1 - On Finslerian extension of special relativity

AU - Sagaydak, Alina E.

AU - Silagadze, Zurab K.

PY - 2022/6/7

Y1 - 2022/6/7

N2 - In this paper, we demonstrate that Robb-Geroch's definition of a relativistic interval admits a simple and fairly natural generalization leading to a Finsler extension of special relativity. Another justification for such an extension goes back to the works of Lalan and Alway and, finally, was put on a solid basis and systematically investigated by Bogoslovsky under the name "Special-relativistic theory of locally anisotropic spacetime". The isometry group of this spacetime, DISIMb(2), is a deformation of the Cohen and Glashow's very special relativity symmetry group ISIM(2). Thus, the deformation parameter b can be regarded as an analog of the cosmological constant characterizing the deformation of the Poincare group into the de Sitter (anti-de Sitter) group. The simplicity and naturalness of Finslerian extension in the context of this paper adds weight to the argument that the possibility of a nonzero value of b should be carefully considered.

AB - In this paper, we demonstrate that Robb-Geroch's definition of a relativistic interval admits a simple and fairly natural generalization leading to a Finsler extension of special relativity. Another justification for such an extension goes back to the works of Lalan and Alway and, finally, was put on a solid basis and systematically investigated by Bogoslovsky under the name "Special-relativistic theory of locally anisotropic spacetime". The isometry group of this spacetime, DISIMb(2), is a deformation of the Cohen and Glashow's very special relativity symmetry group ISIM(2). Thus, the deformation parameter b can be regarded as an analog of the cosmological constant characterizing the deformation of the Poincare group into the de Sitter (anti-de Sitter) group. The simplicity and naturalness of Finslerian extension in the context of this paper adds weight to the argument that the possibility of a nonzero value of b should be carefully considered.

KW - Finsler geometry

KW - Lalan-Alway-bogoslovsky metric

KW - Relativistic interval

KW - Special relativity

KW - Very special relativity

UR - http://www.scopus.com/inward/record.url?scp=85133882113&partnerID=8YFLogxK

U2 - 10.1142/S0217732322501061

DO - 10.1142/S0217732322501061

M3 - Article

AN - SCOPUS:85133882113

VL - 37

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 17

M1 - 2250106

ER -

ID: 36759677