From Axioms to Constants: Yuanxian Theory's Intrinsic Predictions of Undiscovered Physical Constants --- A Complete Deductive Paradigm Based on Four Core Axioms and Three Classes of New Constant Predictions

The origin of physical constants remains a central mystery in foundational physics. Based on the four core axioms of Yuanxian Theory (Cosmic Factor Conservation, Spacetime Uniqueness, Self-Referential Mind-Field Generation, and True-Circle Self-Consistency), this paper rigorously demonstrates through mathematical deduction that the framework necessarily predicts a series of physical constants yet to be discovered experimentally. Taking the precise derivation of the fine-structure constant () as a paradigmatic example, we establish the complete deductive chain “Axiom → Topology → Dynamics → Constant. ” We further predict three classes of undiscovered constants: (I) Structural Constants arising from topological invariants of the 64-dimensional torus; (II) Higher-Order Coupling Constants from the nonlinear dynamics of the Self-Referential Mind-Field; and (III) Global Constants from holistic constraints of cosmic factors and spacetime. For each class, the mathematical origin, dimensional form, theoretical value range, and distinctive experimental signatures are provided. Yuanxian Theory not only unifies explanations of known constants but also possesses strong intrinsic predictive power, offering clear theoretical targets and verification pathways for physics beyond the Standard Model. 物理常数的起源是基础物理学的核心谜题。本文基于元宪理论的四条核心公理 (宇宙因素守恒、时空唯一性、自指心场生成、真圆自洽性), 通过严格的数学演绎, 论证了该理论框架必然预言一系列尚未被实验发现的物理常数。我们以精细结构常数 () 的精确导出为例, 建立了“公理→拓扑→动力学→常数”的完整推导范式。进而系统预言了三类未发现常数: I. 结构性常数 (源于高维拓扑不变量) ;II. 高阶耦合常数 (源于自指心场的非线性动力学) ;III. 整体性常数 (源于宇宙因素与时空的整体约束) 。对每一类常数均给出了数学起源、量纲形式、理论数值范围及独特实验检验信号。元宪理论不仅能统一解释已知常数, 更具备内在的结构性预言能力, 为超越标准模型的新物理提供了明确理论目标和检验路径。