Abstract: 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 solutions. 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 grammar, 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 mathematics desecrated those earth systems which we choice directly. Let the physic model and simulation model consistency, then those unsolved 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.

Key words: digitization, discrete, nonlinear, recursive function, invisible reaction, chaos, energy saving & CO₂ discharge decreasing