Harmonic Unification from Hypothesis to Dimensional Agreement

This work presents a novel unified framework in which all fundamental particle properties—mass, spin, charge, and interaction strengths—are derived from a single harmonic principle. The model posits that particle masses arise from discrete harmonic intervals in log space relative to the Higgs mass, and that physical quantities such as mixing angles, lifetimes, force strengths, and CP violation can be derived using a unified trigonometric correction function based on phase quantization. The framework introduces no free parameters or dimensional constants beyond ℏ and c, and predicts experimental values with high precision using only integer harmonic steps. Key derivations include: A single-phase correction function generating accurate particle masses and CKM matrix elements; A harmonic explanation for electric charge quantization via 3:2 and 4:3 intervals; Continuous analytic expressions for the gravitational, electromagnetic, weak, and strong force strengths, without tuning; A dimensionless reformulation of the Standard Model Lagrangian that naturally incorporates phase quantization, gravity, and dark matter corrections. Recent updates also address concerns regarding unit dimensionality and physical consistency, showing that all predictions can be recast in standard units (e.g., GeV, s, N) with dimensional integrity preserved.本研究提出一种全新的统一框架，所有基本粒子的属性——质量、自旋、电荷以及相互作用强度——均可通过单一谐波原理推导得出。该模型假定，粒子质量源于相对于希格斯质量的对数空间内的离散谐波间隔；而混合角、寿命、相互作用强度以及CP破坏等物理量，均可通过基于相位量子化的统一三角校正函数推导得到。 该框架仅引入约化普朗克常数（ℏ）与光速（c）两类有量纲常数，未引入任何自由参数；仅通过整数谐波步长即可高精度预测实验观测值。核心推导内容包括： 单一相位校正函数可精准生成粒子质量与CKM矩阵元； 通过3:2与4:3间隔，为电荷量子化提供谐波层面的解释； 无需额外调参，即可给出引力、电磁、弱相互作用及强相互作用强度的连续解析表达式； 对标准模型拉格朗日量进行无量纲重构，可自然纳入相位量子化、引力修正与暗物质修正项。 近期更新还解决了有关量纲与物理自洽性的质疑，证明所有预测结果均可转换为标准单位（如吉电子伏特（GeV）、秒（s）、牛（N）），且量纲完整性得以保留。