It is shown that Generalized Poisson–Kac processes are closed with respect to Lorentz transformations, providing a class of covariant kinematic processes. The transformation properties of the associated partial probability densities (waves) display spinorial character in a probability space, and their spinorial character is intrinsically related to the parametrization of the internal degrees of freedom of the process. Parity function analysis associated with the bias induced in the partial-wave recombination process by a Lorentz boost, indicates a symmetry breaking in the recombination dynamics. In an inertial reference frame moving with constant velocity [Formula: see text] with respect to the rest frame of the process, stochastic fluctuations are progressively damped out till complete suppression in the limit for [Formula: see text].

中文翻译：

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简单相对论随机运动学的协方差和旋量统计描述

结果表明，广义 Poisson-Kac 过程相对于 Lorentz 变换是封闭的，提供了一类协变运动学过程。相关部分概率密度（波）的变换性质在概率空间中表现出旋量特性，它们的旋量特性本质上与过程内部自由度的参数化有关。与通过洛伦兹提升在部分波复合过程中引起的偏差相关的奇偶函数分析表明复合动力学中的对称性破坏。在以恒定速度移动的惯性参考系[公式：参见文本]相对于过程的其余框架，随机波动逐渐减弱，直到完全抑制[公式：参见文本]的极限。