【摘要】 随机过程理论始终没有抽象出反映随机现象本质属性和一般特征的基本概念，只能通过观察试验得到的数据，从数量化的角度来研究反映随机现象外部联系的统计规律，因此一直停留在感性认识和经验科学阶段.本文抽象出了反映随机过程本质属性和一般特征的“白噪声”基本概念，并构造出了“随机过程是对白噪声进行某种数学运算的结果”的基本公理，不仅可推导出一系列可揭示各种典型随机过程本质特征、内部联系及普遍规律的逻辑结论，把《随机过程》已有的零散杂乱知识重构为公理系统，而且将布朗粒子在微观尺度下的随机运动和宏观尺度下的确定运动统一到同一个运动方程中，发现了随机性与确定性在单个事件上的相互转换与综合统一规律.更多还原

【Abstract】 Stochastic Processes Theory has never abstracted basic concepts that reflect the essential attributes and general characteristics of random phenomena. It can only study the statistical laws that reflect the external connections of random phenomena from a quantitative perspective through data obtained from observation experiments. Therefore, it has remained at the stage of perceptual understanding and experience science. This article abstracts the basic concept of "white noise" that reflects the essential properties and general characteristics of random processes, and constructs the basic axiom that “random processes are the result of some mathematical operation on white noise” which can not only deduce a series of logical conclusions that can reveal the essential characteristics, internal relations and universal laws of various typical stochastic processes, but also reconstruct the existing scattered and chaotic knowledge of Stochastic Processes into an axiom system. Moreover, the random motion of Brownian Particles at the microscopic scale and the definite motion at the macroscopic scale are unified into the same equation of motion, and the law of mutual transformation and comprehensive unity of randomness and certainty in a single event is discovered.更多还原