24-Dimensional Orthogonal Framework for Fitting Microscopic Particles

Abstract

Abstract: This paper presents a geometric model based on a 24-dimensional orthogonal framework for fitting microscopic particles. The model employs only a very small number of discrete parameters to calculate the masses of 15 elementary particles and 15 composite particles, yielding results that are in excellent agreement with experimental data (Pearson correlation coefficient ≈ 0.9998). Just like designing an analog-to-digital converter (ADC) in the microscopic world, which digitally samples the analog signal of the particle mass spectrum. The model predicts a finite set of mass lattice points, offering a possible approach for the discovery of new particles. Further analysis indicates that the model may establish a geometric bridge among several fundamental constants, including the fine-structure constant, the Fermi constant, and the gravitational constant, thus providing a novel perspective on the unification of fundamental physical interactions.