Closed Loop of Dimensional-Reduction Dynamics: The Complete Evolutionary Narrative of Yuanxian Theory from Ontology to Manifestation — The Eternal Rhythm of the Cosmic Organism
Year: 2026
Type: preprint
Abstract: Yuanxian Theory has previously completed a series of dispersed closed results ranging from the 64-dimensional topological self-referential closed loop to the fine-structure constant, 24 fundamental physical constants, and $\Lambda$CDM cosmological parameters. Yet these results have always lacked a unified evolutionary narrative — the complete path from ontology to manifestation has never been strung into a single traceable, reproducible and engineerable chain. The present paper completes that work. We establish the seven-step closed loop of dimensional-reduction dynamics: $\mathcal{T}^{64}$ 64-dimensional topological origin $\to$ $\mathcal{M}_{60}=\mathrm{Proj}_{60}(\mathcal{T}^{64}/\mathbb{Z}_{4})$ 60-dimensional kernel-space compactification $\to$ $\mathcal{F}_{\mathrm{proj}}=\delta^{11}$ spectral-compression dimensional adaptation $\to$ 35-step standardised dimensional-reduction iteration $\to$ 68-step discrete self-inspection closed loop $\to$ 137 fine-structure-constant locking of the four-dimensional steady state $\to$ $\mathrm{SU}(64)\to\mathrm{SU}(3)\times\mathrm{SU}(2)\times\mathrm{U}(1)$ stepwise gauge-group breaking that generates all particles and physical laws. Every step of the seven-step chain is supported by a corresponding closed result of Yuanxian Theory. There is no jump, no suspension in mid-air, and no reliance on external assumptions. The paper does not supply new mathematical derivations; it strings the seven already-derived core mechanisms into a single complete chain ordered by evolutionary sequence. It is the master evolutionary narrative of Yuanxian Theory and the shortest path from ontology to phenomenon. The paper simultaneously establishes the interface relation of this closed loop with the refinement of $\Lambda$CDM cosmological parameters: once the spectral-compression factor $\mathcal{F}_{\mathrm{proj}}$ and the normalised geometric factor $\mathcal{G}_{\mathrm{norm}}$ of the 35-step dimensional reduction are further precision-fixed, the six cosmological parameters $\Omega_{\Lambda}$, $\Omega_{c}$, $\Omega_{b}$, $H_{0}$, $S_{8}$ and $n_{s}$ will automatically take their places, in order, at the corresponding steps of the present closed loop. The seven-step closed loop is precisely the eternal rhythm of the cosmic organism — from 64 dimensions to four dimensions, every iteration is one heartbeat, and every heartbeat drives the cosmic organism through one complete metabolic cycle. Cycle after cycle, never ceasing. --- 元宪理论此前已经完成了从64维拓扑自指闭环到精细结构常数、24个基本物理常数、$\Lambda$CDM宇宙学参数等一系列分散的闭合成果。然而,这些成果始终缺少一条统一的演化叙事——从本体到显化的完整路径从未被串成一条可追溯、可复现、可工程化的链条。 本文完成这一工作。我们确立七步降维动力学闭环:$\mathcal{T}^{64}$ 64维拓扑本源 $\to$ $\mathcal{M}_{60}=\mathrm{Proj}_{60}(\mathcal{T}^{64}/\mathbb{Z}_{4})$ 60维核空间紧致化 $\to$ $\mathcal{F}_{\mathrm{proj}}=\delta^{11}$ 谱压缩维度适配 $\to$ 35步标准化降维迭代 $\to$ 68步离散自检闭环 $\to$ 137精细结构常数锁定四维稳态 $\to$ $\mathrm{SU}(64)\to\mathrm{SU}(3)\times\mathrm{SU}(2)\times\mathrm{U}(1)$ 规范群逐级破缺生成全部粒子与物理规律。 七步链路,每一步都有对应的元宪理论闭合成果作为支撑。没有跳步,没有悬空,没有依赖外部假设。本文不提供新的数理推导,而是把已经推导完成的七个核心机制按演化顺序串成一条完整的链条。它是元宪理论的演化叙事总纲,也是从本体到现象的最短路径。 本文同时确立该闭环与 $\Lambda$CDM 宇宙学参数精化的接口关系:当谱压缩因子 $\mathcal{F}_{\mathrm{proj}}$ 和35步降维的归一化几何因子 $\mathcal{G}_{\mathrm{norm}}$ 完成后续精确化时,$\Omega_{\Lambda}$、$\Omega_{c}$、$\Omega_{b}$、$H_{0}$、$S_{8}$、$n_{s}$ 六个宇宙学参数将按序在本闭环的对应步骤中自动就位。 七步闭环,就是宇宙生命体永恒的韵律——从64维到四维,每一次迭代都是一次心跳,每一次心跳都推动着宇宙生命体完成一次完整的代谢周期。循环往复,永不停息。
Author: Acharya, Zhenyuan
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204118797
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