Services on Demand
Journal
Article
Indicators
- Cited by SciELO
- Access statistics
Related links
- Similars in SciELO
Share
Revista mexicana de física
Print version ISSN 0035-001X
Abstract
AL-JAMEL, Ahmed; AL-MASAEED, Mohamed; RABEI, Eqab. M. and BALEANU, Dumitru. The effect of deformation of special relativity by conformable derivative. Rev. mex. fis. [online]. 2022, vol.68, n.5, e50705. Epub Feb 17, 2023. ISSN 0035-001X. https://doi.org/10.31349/revmexfis.68.050705.
In this paper, the deformation of special relativity within the frame of conformable derivative is formulated. Within this context, the two postulates of the theory are re-stated. Then, the addition of velocity laws are derived and used to verify the constancy of the speed of light. The invariance principle of the laws of physics is demonstrated for some typical illustrative examples, namely, the conformable wave equation, the conformable Schrodinger equation, the conformable Klein-Gordon equation, and conformable Dirac equation. The current formalism may be applicable when using special relativity in a nonlinear or dispersive medium.
Keywords : Conformable derivative; fractional calculus; special relativity.