中文摘要：

本文获得了有各种相互作用的一般n阶特征量泛函,其耦合系数反映了不同特征量泛函之间的耦合强度.依据定量因果原理,导出了一般n阶特征量泛函的变分原理,获得了一般n阶特征量泛函的Euler-Lagrange方程,它的不同系数可拟合不同的物理现实,如从线性到任意n阶非线性物理系统,使复杂难解的任意n阶非线性物理系统变得具体可解.并获得了该对称变换下不变的m个的守恒量,以及它们之间的关系和统一描述.依据定量因果原理导出了相对性原理,证明了绝对加速参考系、牵连参考系和相对参考系的力都有来自加速度和质量变化的贡献.利用定量因果原理自然导出了广义牛顿第一定律和广义牛顿第二定律,而且还导出了一个新定律,即广义牛顿第三定律,亦即平移不变性系统合力为零定理.进而将研究结论应用于对银河系的修正引力势、分子势、夸克禁闭势等,且其结果与物理实验一致.

英文摘要：

This paper gives a general n-order character functional, and uses the quantitative causal principle to derive the general variational principle; furthermore the Euler-Lagrange equation and conservative quantities for a general n-order character functional are derived, and the link between the principle of relativity and the quantitative causal principle is revealed. Newton＇s first, second, and third laws are then derived, but the third laws is also regarded as a new law： it is a theorem that force is zero in translational invariance, and its general physical meaning in classic mechanics is revealed.The results obtained have been successful applied to the galaxy gravitational potential correction, molecular potential,quark confinement potential, etc., and the results are consistent with the physical experiments.