《元典》: A Unified Phenomenological Framework Verified in Nonlinear Dynamics——Exemplified by the Accurate Computation of the Lorenz System

Abstract

本文验证《元典》框架在非线性动力学系统中的适用性。以洛伦茨系统——混沌理论的经典模型——为测试对象,研究表明,《元典》框架下的计算能够准确复现其相空间轨迹,无需依赖传统数值积分迭代。这一结果说明,《元典》框架的核心场量描述同样适用于确定性混沌系统,进一步扩展了该框架的跨领域验证范围。本版本仅公开计算结果与对比分析,核心算子与跨尺度耦合规则仍保留不公开。 作者联系方式:陈宝格,邮箱:chenxian1024@163.com。欢迎学术交流与合作。 This paper verifies the applicability of the Meta-Codex framework in nonlinear dynamical systems. Using the Lorenz system—a canonical model of chaos theory—as a test case, it is shown that the Meta-Codex framework accurately reproduces its phase-space trajectories without relying on conventional numerical integration iterations. This result indicates that the core field quantities of the framework are applicable to deterministic chaotic systems, extending the cross-domain validation of the framework. This version discloses only the computational results and comparative analysis; core operators and cross-scale coupling rules remain undisclosed. Contact: Chen BaoGe, Email:chenxian1024@163.com. Academic exchanges and collaboration are welcome.