TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.14.024
TI  - Newton mechanics, Galilean relativity, and special relativity in $\alpha$-deformed binary operation setting
PY  - 2023/11/23
UR  - https://www.scipost.org/SciPostPhysProc.14.024
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 14
SP  - 024
A1  - Chung, Won S.
AU  - Hounkonnou, Mahouton Norbert
AB  - We define new velocity and acceleration having dimension of $(Length)^{\alpha}/(Time)$ and $(Length)^{\alpha}/(Time)^2,$ respectively, based on the fractional addition rule. We discuss the formulation of fractional Newton mechanics, Galilean relativity and special relativity in the same setting. We show the conservation of the fractional energy, characterize the Lorentz transformation and group, and derive the expressions of the energy and momentum. The two body decay is discussed as a concrete illustration.
ER  -

@Article{10.21468/SciPostPhysProc.14.024,
	title={{Newton mechanics, Galilean relativity, and special relativity in $\alpha$-deformed binary operation setting}},
	author={Won S. Chung and  Mahouton N. Hounkonnou},
	journal={SciPost Phys. Proc.},
	pages={024},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.14.024},
	url={https://scipost.org/10.21468/SciPostPhysProc.14.024},
}