Dimensional Harmonic Resonance Unification Beyond Standard Model

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，可从单一谐波原理出发，推导出基本粒子的全部核心属性：质量、自旋、电荷与相互作用强度。该模型假定，粒子质量源于相对于希格斯（Higgs）质量的对数空间内的离散谐波间隔；而诸如混合角、粒子寿命、相互作用强度与CP破坏（CP violation）等物理量，均可通过基于相位量子化（phase quantization）的统一三角函数修正函数推导得出。 除约化普朗克常数（ℏ）与光速（c）外，该框架未引入任何自由参数或量纲常数，仅通过整数谐波步长即可实现高精度的实验数值预测。核心推导成果包括： 1. 单相位修正函数可生成精准的粒子质量与CKM矩阵（CKM matrix）元素； 2. 通过3:2与4:3的间隔，对电荷量子化给出谐波层面的合理解释； 3. 无需任何参数调优，即可得到引力、电磁、弱相互作用与强相互作用强度的连续解析表达式； 4. 对标准模型拉格朗日量（Standard Model Lagrangian）进行无量纲重构，可自然融入相位量子化、引力与暗物质修正项。 近期更新还解决了有关量纲一致性与物理自洽性的学术质疑，证明所有预测均可在标准单位制（如吉电子伏特（GeV）、秒（s）、牛（N））下完成重构，且量纲完整性得以保留。