Deformed special relativity based on α-deformed binary operations

2020/05/18 by Won Sang Chung, Chung, Won Sang, Mahouton Norbert Hounkonnou +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Mathematical and Theoretical Analysis #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2005.11155

openalex publication_date 2020/05/18 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this paper, we define a new velocity having a dimension of (Length)^α/(Time) and a new acceleration having a dimension of (Length)^α/(Time)², based on the fractional addition rule. We then discuss the fractional mechanics in one dimension. We show the conservation of fractional energy, and formulate the Hamiltonian formalism for the fractional mechanics. As a matter of illustration, we exhibit some examples for the fractional mechanics.

Citations

• A possible deformed algebra and calculus inspired in nonextensive thermostatistics

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