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arXiv 2005.11155physics.gen-ph
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基于$α$变形二元运算的变形狭义相对论

Deformed special relativity based on $α$-deformed binary operations

Won Sang Chung, Mahouton Norbert Hounkonnou

摘要:

在本文中,我们定义了一个新的速度的维数为$(Length)^α/(Time)$和一个新的加速度的维数为$(Length)^α/(Time)^2$,分数加法规则的基础上。然后我们讨论了一维的分数阶力学。证明了分数阶能量守恒,给出了分数阶力学的哈密顿形式。作为说明,我们展示了一些分数力学的例子。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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