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Nonstandard and fractal electrodynamics in Finsler–Randers space

Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, 50200, Thailand

Athens Institute for Education and Research Mathematics and Physics Divisions, 8 Valaoritou Street, Kolonaki, 10671, Athens, Greece

E-mail Address: el-nabulsi@atiner.gr

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and

Alireza Khalili Golmankhaneh

https://orcid.org/0000-0002-5008-0163

Department of Physics, Urmia Branch, Islamic Azad University, Urmia, Iran

E-mail Address: a.khalili@iaurmia.ac.ir

Corresponding author.

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https://doi.org/10.1142/S0219887822500803Cited by:4 (Source: Crossref)

Abstract

In this study, we have analyzed the Finsler–Randers manifolds starting from nonstandard Lagrangians formalism which is considered as an emergent phenomenon in the theory of the calculus of variations. These special forms of Lagrangians are motivating since they have explicit dependence on special function. We have proved that their associated usual geodesics on Finsler–Randers manifold are characterized by a quadratic damping and we have established its importance in classical electrodynamics. Moreover, we show that this construction can be extended for the case of fractal electrodynamics in Finsler–Randers manifolds.

Keywords:

AMSC: 28A80, 53B40, 58C35, 58C50

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