显化振动子理论预印本补充说明与细节完善 Supplemental Note and Detail Refinement for the Preprint of Manifestation Oscillator Theory

This paper conducts systematic supplementation and clarification for issues in the author’s published preprint of the Manifestation Oscillator Theory — Manifestation Oscillator Theory: A Unified Physical Framework from Phase Quantum Emergence to Cosmic Unification — including dimensional notation flaws, ambiguous logical definitions, and omitted derivation steps. Key refinements are as follows: correcting the dimensional notation of critical formulas (e.g., the mass formula and parameter derivation equations); clarifying the logical consistency between the "minimal spatial unit and the number of electron oscillators"; completing the full derivation chain of core parameters; and adding the dimensional correction of the dark matter scattering cross-section, as well as supplementing the nested coupling term for the muon anomalous magnetic moment. All supplements do not alter the first-principles, core physical mechanisms, sources of independent parameter constraints, or experimental verification results of the original theory. They only aim to eliminate peer misunderstandings of the theory by clarifying definitions and completing details. After these refinements, the mathematical rigor and logical consistency of the theory are further enhanced, providing an unambiguous theoretical foundation for subsequent experimental verification and academic communication. 本文针对作者已发表的显化振动子理论预印本《显化振动子理论:从相位量子涌现到宇宙统一的物理框架》中存在的量纲表述瑕疵、逻辑定义模糊、推导步骤省略等问题,进行系统性补充与澄清。核心完善内容包括:修正质量公式、参数推导等关键公式的量纲表述,解释“最小空间单元与电子振动子数量”的逻辑一致性,补全核心参数的完整推导链条,新增暗物质散射截面量纲修正及子反常磁矩嵌套耦合项补充。所有补充均不改变原理论的第一性原理、核心物理机制、参数独立约束来源及实验验证结果,仅通过明确定义、补全细节,消除同行对理论的误解。补充后,理论的数学严谨性、逻辑自洽性进一步提升,为后续实验验证与学术交流提供无歧义的理论基础。