Abnormal Problems in Brownian Motion Theory and Analysis of Causes

• 1、Department of Precision Instrument,Tsinghua University

Abstract：Brownian motion is not only a famous physical phenomenon, but also a basic random process that occupies a central position in the Stochastic Processes textbooks. This paper first introduces a series of abnormal problems in the theory of Brownian motion in the Stochastic Processes, such as the inconsistency between theory and empirical facts and the inability of self consistency in logic, and analyzes in detail the reasons for the abnormal problems, such as physical concept errors, mathematical abstract errors and logical errors. Finally, according to the Einstein Brownian motion hypothesis and the experimental results of instantaneous velocity measurement of physical Brownian motion, the Brownian motion is redefined, The Brownian particle kinematics equation which can correctly describe the phenomena, characteristics and laws of Brownian motion is established.

Keywords： random processes Brownian motion Wiener process；