Global Unification of the Four Major Physical Systems: A Self-Consistent Indication Based on T⁶⁴ Topology — Core Paper No. 4 of Yuanxian Theory
Year: 2026
Type: preprint
Abstract: The core-paper series of Yuanxian Theory has successively completed the algebraic manifestation of $\mathcal{T}^{64}$ topology ($\mathrm{Cl}_{6}(\mathbb{R})$ — *Jizhao Tongyue*), the homology proof of $64\to 35\to 137$ (Core Paper No. 2), and the dynamical description of the dimensional-reduction evolution of the self-referential mind field (Core Paper No. 3). On this foundation the present paper extends the scope of argument to all classical physical systems. It is established that Newtonian mechanics, general relativity, quantum mechanics and cosmology can receive a completely unified and self-consistent indication within the $\mathcal{T}^{64}$ topological framework. All classical physical laws are projection results of the high-dimensional topology $\mathcal{T}^{64}$ onto four-dimensional spacetime under different scales and different observational conditions. The differences among the four systems are, in essence, differences in the truncation of degrees of freedom of $\mathcal{T}^{64}$ topology at different projection scales, not ontological ruptures. The core logic of this paper rests on the three-layer dynamical rule of **phase locking – scale truncation – observational anchoring**. All theoretical constants can be derived self-consistently from the 64 fundamental steady-state nodes of $\mathcal{T}^{64}$ without any external empirical input. An explicit path-integral definition of the projection operator is given and its degeneration behaviour under each physical limit is proved. --- 元宪理论的核心论文系列已分别完成 $\mathcal{T}^{64}$ 拓扑的代数显相($\mathrm{Cl}_{6}(\mathbb{R})$ ——《寂照通约》)、$64\to 35\to 137$ 的同源性证明(核心论文之二)、自指心场降维演化的动力学描述(核心论文之三)。本文在此基础上,将论证范围扩展至全部经典物理体系。 本文确立:牛顿力学、广义相对论、量子力学、宇宙学四大物理体系,在 $\mathcal{T}^{64}$ 拓扑框架下可以获得完全统一的自洽标示。所有经典物理规律都是 $\mathcal{T}^{64}$ 高维拓扑向四维时空不同尺度、不同观测条件下的投影结果。四大体系之间的差异,本质是 $\mathcal{T}^{64}$ 拓扑在不同投影尺度下的自由度截断差异,而非本体论的断裂。 本文的核心逻辑基于**相位锁相–尺度截断–观测锚定**三层动力学规则。所有理论的常数均可由 $\mathcal{T}^{64}$ 的64个基础稳态节点自洽推导,无需外部经验输入。本文给出投影算子的显式路径积分定义,并证明其在各物理极限下的退化行为。
Author: Acharya, Zhenyuan
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203860453
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