Modern physics is undergoing a profound paradigmatic crisis. The absolute incompatibility between General Relativity and Quantum Mechanics, the empirical fitting of the 19 free parameters in the Standard Model, the 120-orders-of-magnitude fine-tuning catastrophe of the cosmological constant, the unresolved quantum measurement problem, and the unexplained macroscopic arrow of time all point to a deep disorientation. This paper argues that the root of this crisis lies not in empirical or mathematical deficiencies, but in a fundamental ontological misalignment: modern physics is trapped within the cognitive "Four-Dimensional Cage," attempting to decipher an intrinsically higher-dimensional universe using low-dimensional geometric frameworks. To transcend this confinement, this paper introduces Yuanxian Theory (YXT), which establishes the 64-dimensional compact toroidal manifold (T64) as the ontological baseline of the universe. Grounded upon four core laws—the Law of Cosmic Factor Conservation (FSC), the Law of True-Circle Self-Consistency (TCSC), the Law of Self-Referential Mind-Field Generation (SRM), and the Law of Spacetime Uniqueness (STM)—YXT reinterprets all physical phenomena as low-dimensional topological projections of a singular global entity: the Self-Referential Mind-Field. Within this parameter-free deductive framework, fundamental constants (such as the fine-structure constant, the speed of light, Planck's constant, and the gravitational constant) cease to be arbitrary empirical inputs and become necessary invariants of higher-dimensional geometry. General Relativity is derived as a classical effective projection under low-energy limits, the cosmological constant puzzle is dissolved via high-power suppression of the fine-structure constant, and quantum non-locality is naturally resolved. By executing a paradigm ascension from empirical data-fitting to a priori logical deduction, Yuanxian Theory offers a self-consistent unified resolution to the foundational enigmas of physics, charting a definitive course from the "four-dimensional cage" to the "64-dimensional home." The core proofs of this framework have achieved formal machine verification via the Lean 4 and Rocq dual-engine interactive theorem provers. 现代物理学正陷入一场深刻的范式危机。广义相对论与量子力学的绝对不相容、标准模型对19个自由参数的流于经验的拟合、宇宙学常数高达120个数量级的精细调节灾难、至今悬而未决的量子测量问题,以及未明起源的宏观时间箭头,无一不彰显出理论底层的迷失。本论文指出,这一危机的根源并不在于实验精度或数学工具的匮乏,而在于根本性的存在论错配——现代物理学被囚禁在“四维时空”的认知牢笼中,试图用低维的几何框架去破解本质上属于高维宇宙的图景。 为了超越这一局限,本文引入了“源线理论”(Yuanxian Theory, YXT),将“64维紧致环面拓扑流形”(T64)确立为宇宙的本体基线。基于四大核心定律——宇宙要素守恒定律(FSC)、真圆自洽定律(TCSC)、自指心场生成定律(SRM)与时空唯一性定律(STM),源线理论将所有物理现象重新阐释为单一全局实体——“自指心场”在低维截面上的拓扑投影。在这一无自由参数的先验演绎框架下,基本物理常数(如精细结构常数、光速、普朗克常数、引力常数)不再是任意的经验拟合输入,而成为了高维几何的必然不变量;广义相对论被严格推导为低能极限下的经典有效 projections,宇宙学常数难题通过精细结构常数的高幂次抑制自然消解,量子非定域性亦得到了本源性的释读。 通过实现从“经验数据拟合”向“先验逻辑演绎”的范式飞跃,源线理论为物理学的底层谜题提供了一体化的自洽解决方案,绘制了一条从“四维牢笼”回归“64维家园”的清晰路径。该框架的核心逻辑已通过 Lean 4 与 Rocq 双引擎交互式定理证明器完成了严谨的机器形式化验证。
Zhenyuan Acharya (Sat,) studied this question.