GDP对称性与变换群

系统对称性和规范建模是将物理学的规范变换理论推广应用于各种经济系统、生物系统和人类社会系统,以期解决系统科学中如何刻画组元之间的相互作用等最基本的问题.针对商品市场经济系统的对称性与规范建模中的核心问题——发现不变量,首先从经济意义角度分析了GDP所揭示的商品经济的基本事实以及商品所具有的根本属性,进而给出了GDP对货币的3种对称性,并在科学层面上找出了对称性所对应的变换群,从而说明GDP是商品经济系统运动过程中的不变量.

Symmetries of GDP and Corresponding Transformation Groups

Symmetries analysis and gauge modeling of systems extend the gauge field theory from physics into economic systems,biological systems and social systems in order to solve the most fundamental problems in systems science such as how to describe the interaction between any two elements.On the core issue of finding invariants in gauge modeling of commodity market economic system,from the perspective of economic significance,the primary facts in commodity economy and fundamental properties of commodities revealed by GDP were analyzed,and then three kinds of symmetries of GDP with respect to money were clarified,and at the mathematical level,the transformation groups corresponding to the symmetries were presented,which reveals that GDP is an invariant in the movement of commodity economic system.