The Geometric Nature of Weak Interactions: Chiral Phase-Slips, Topological Resonances, and Decay Dynamics within the STAT Framework

English Description Title: Geometrization of the Weak Interaction in STAT Framework: Chiral Asymmetry and Topological Phase Transitions. Abstract/Description: This research provides a comprehensive geometric interpretation of the weak interaction within the Spin-Topological Aether Theory (STAT) framework. By defining the vacuum as a continuous, nonlinear viscoelastic manifold, this work moves beyond the abstract gauge symmetries of the Standard Model to derive the weak force as a manifestation of localized torsional deformations and topological phase transitions within the aetheric substrate. Key Theoretical Breakthroughs: Geometric Origin of Parity Violation: Successfully explains chiral asymmetry (P-violation) as an intrinsic topological property of the aetheric manifold's shear-torsion coupling, providing a physical mechanism for why the weak force only acts on left-handed fermions. Boson Substantialization: Reinterprets W and Z bosons as stable topological solitons (excitations) characterized by specific geometric strain profiles, rather than abstract point particles. Electroweak Unification: Establishes a unified Lagrangian density that integrates the weak sector with electromagnetic geometrization through a complex metric tensor approach. Fermi Constant Derivation: Theoretically links the Fermi coupling constant (GF) to the fundamental elastic modulus and base viscosity of the universal manifold. This work completes a critical component of the STAT series, offering a deterministic and physical alternative to the mathematical formalisms of traditional Quantum Field Theory (QFT). 中文描述 (Chinese Description) 標題: STAT 框架下的弱相互作用幾何化: 手徵不對稱與拓撲相變。 摘要/描述: 本研究在旋轉拓撲乙太理論 (STAT) 框架下, 為弱相互作用提供了完整的幾何化詮釋。透過將真空定義為連續的非線性黏彈性流形, 本論文超越了標準模型的抽象規範對稱性, 證明了弱力本質上是乙太介質局部扭轉變形 (Torsional Deformation) 與拓撲相變的體現。 核心理論突破: 宇稱不守恆的幾何起源: 成功將**手徵不對稱 (P-violation) **解釋為乙太流形剪切-扭轉耦合的內在拓撲特性, 為弱力僅作用於左手費米子提供了明確的物理機制。 玻色子的實體化: 重新定義 W 與 Z 玻色子 為具有特定幾何應變特徵的穩定拓撲孤子 (激發態), 而非傳統意義上的無結構點粒子。 電弱統一: 透過複數度規張量方法, 建立了一個統一的拉格朗日密度, 實現了弱力與電磁幾何化的完整整合。 費米常數推導: 從理論上將費米耦合常數 (GF) 與宇宙流形介質的基礎彈性模量及黏度建立了物理關聯。 這項工作完成了 STAT 大一統理論系列中的關鍵章節, 為傳統量子場論 (QFT) 的數學形式主義提供了一個具備實體物理圖像與決定論特徵的替代方案。