论文标题
基于$α$定型的二进制操作的变形特殊相对论
Deformed special relativity based on $α$-deformed binary operations
论文作者
论文摘要
在本文中，我们根据分数添加规则，定义了一个新速度，其尺寸为$（长度）^α/（time）$和一个新的加速度，其尺寸为$（length）^α/（time）^2 $。然后，我们在一维中讨论分数力学。我们显示了分数能量的保守性，并为分数力学制定了哈密顿形式主义。作为例证，我们展示了分数力学的一些示例。
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.
