确定与随机:物理学的第六次综合与统一
首发时间:2021-11-16
摘要:揭示质点确定性运动规律的牛顿力学和揭示质点随机性运动规律的爱因斯坦布朗运动理论分别将质点位移与时间之间的数量关系抽象为时间函数和随机变量,而时间函数和随机变量是两个定义域和值域完全不同的单值函数,因此要完成确定性运动规律和随机性运动规律的综合与统一在理论上是不可能的。本文采用牛顿力学研究方法,将质点位移与时间之间的数量关系还原为时间函数,提出了"瞬时速度等于白噪声"的质点随机运动定律,建立了可同时描述布朗运动和匀速直线运动的非线性时变运动方程和质点随机运动学,证明了质点运动的随机性和确定性完全取决于观测尺度,实现了确定性运动规律和随机性运动规律的综合统一与相互转换。
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Deterministic and Stochastic:the Sixth Synthesis and Unification of Physics
Abstract:Newtonian mechanics,which reveals the deterministic motion law of a particle,and Einstein-Brownian motion theory, which reveals the random motion law of a particle,respectively abstract the quantitative relationship between particle displacement and time as a time function and a random variable, while the time function and random variable are two single-valued functions with completely different domains and ranges,so it is theoretically impossible to complete the synthesis and unification of the deterministic motion law and the random motion law. This paper uses the research method of Newtonian mechanics to restore the quantitative relationship between the displacement of a random moving particle and time to a function of time, proposes the random motion law of the particle "instantaneous speed equals white noise", and establishes the nonlinear time-varying motion equation and the random particle kinematics that can simultaneously describe Brownian motion and uniform linear motion aer established. It proves that the randomness and certainty of particle motion completely depends on the observation scale, and the unification and mutual conversion of the deterministic motion law and the random motion law are realized.
Keywords: random particle kinematics stochastic processes Brownian motion
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确定与随机:物理学的第六次综合与统一
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