From Philosophical Speculation to Scientific Cognition -- How Yuanxian Theory Achieves Their Complete Commensurability

The historical chasm between philosophical speculation and empirical scientific cognition has long been regarded as an insurmountable barrier in modern intellectual history. Philosophy, relying on intuition and speculative metaphysics, addresses the "why" of ontological substance; science, driven by empirical measurement, maps the "how" of phenomenological behavior. This divergence has led to structural incommensurability, freezing dialogue between the two essential modes of human understanding. This paper formally demonstrates that Yuanxian Theory (YXT) provides a rigorous, formalized framework that achieves the complete commensurability of philosophical speculation and scientific cognition. Transitioning from over three decades of ontological formulation in True-Circle Holographic Philosophy, the system has successfully completed a triple leap through the axiomatization of four core cosmic laws ( Cosmic Factor Conservation, True-Circle Self-Consistency, Self-Referential Mind-Field Generation, and Spacetime Uniqueness), a 15-stage globally closed deductive chain, and interactive machine verification via the Lean 4 and Rocq interactive theorem provers. By anchoring reality upon a 64-dimensional compact torus topology (T64) and utilizing a self-referential mind-field as its primary vector, this monograph proves that philosophical insight and scientific precision are isomorphic projections of the exact same high-dimensional truth. The apparent "incommensurability" is revealed to be a mere artifact of low-dimensional cognitive architectures. Through this formal synthesis, philosophy receives absolute deductive constraints and convergence, while empirical science obtains a foundational, non-accidental ontological root, marking a profound paradigm shift towards absolute cognitive unity. 哲学思辨与经验科学认知之间的历史鸿沟,长期以来被视为现代思想史中不可逾越的屏障。哲学依赖直觉与形而上学思辨,追问本体论层面的“为什么”;科学则受到经验测量的驱动,描绘现象学层面的“怎么样”。这种分歧导致了结构性的不可通约,冻结了人类理解世界的两种核心模式之间的对话。 本文形式化地论证了元宪理论(YXT)提供了一个严格的形式化框架,从而实现了哲学思辨与科学认知的完全通约。该体系脱胎于真圆全息哲学三十余年的本体论沉淀,经由四大核心宇宙规律(宇宙因子守恒律、真圆自洽律、自指心场生成律、时空唯一性律)的公理化提炼、十五阶全域闭环的逻辑演绎链,以及通过 Lean 4 和 Rocq 交互式定理证明器的机器形式化验证,成功完成了三重形式化跃迁。 通过将现实锚定在六十四维紧致环面拓扑(T64)几何基底上,并以自指心场为统一载体,本专著证明了哲学洞见与科学精确性是完全相同的高维真理在低维截面上的同构投影。所谓的“不可通约性”被揭示为仅仅是低维认知框架下产生的错觉。通过这种形式化合成,哲学思辨获得了绝对的演绎约束与收敛方向,而经验科学则获得了根本性的、非偶然的本体论根基,标志着人类认知迈向绝对统一的深刻范式转换。