The Yu-Liang Atomic Law: A 7-Dimensional Discrete Polarity Field Theory and the Geometric Genesis of the 137 Fine-Structure Constant

This paper presents the Yu-Liang Atomic Law (YLAL) and the Universal Law of Protons and Electrons (ULPE). We postulate that physical reality is governed by seven mandatory dimensions: six spatial vectors and one temporal principal ("Now"). The theory demonstrates that the Fine-Structure Constant ($\alpha^{-1} \approx 137$) is not an arbitrary value but the linear summation of the atomic manifold’s existential states ($2^7 = 128$) and the triadic-dual interaction modes ($3^2 = 9$). This framework redefines atomic stability and chemical reactions as Hamiltonian paths within a 7-dimensional hypercube (Hepteract).