面向气候变化地球系统模拟建模探索(上)

Explore the Earth System Climate Change:Simulation and Modeling (Part I)

地球是开放系统的集合,在现实世界中,任何取自于地球的模拟对象皆包含着耗散与回递的因子,所以它们亦是非线性的。非线性方程式基本上无解,这就是建模与数字化面临的难题。因此本文给出系统的严谨数学定义与其参数,透过自动化模式、线性机械线路、形式语言与其等价的文法规则及混沌系统理论,直接以时空拓扑结构及回递函数、量子方程式与化学反应式之本质,取代偏微积分方程式,以非线性离散数学直接描述所有取自于地球的模拟对象,令数字化模式与模拟对象一致,以解决建模问题,更为科学打开通往数学物理化的门扉,进而从根本上消弭数学与物理间不一致的基础危机。

Earth is a set of open system. Any substances digested from earth in realistically world which we try to emulate contains dissipative and recursive factors. Thus, they are nonlinear. On the whole, nonlinear partial differential equation basically has no solu- tions. As a result, any model take on board from earth which we try to digitize or simulate, the problems appear. For this reason, this article gives a solid mathematical definition of the system with its factors, by means of automata, formal language and its gram- mar, i.e., rewrite rules and chaos theory. Using topological time- space structure with recursive function, quantum equation and the characteristics of its physical and chimerical reaction, alternates the continuous partial differential equation by nonlinear discrete mathe- matics desecrated those earth systems which we choice directly. Let the physic model and simulation model consistency, then those un- solved problems can be accomplished. Further for that, it revealed a way to the axiomatisation of physics, eliminating the profoundly disturbing crises wherein the foundation of various sciences.