Cheng, Xuezhi: Restructuring Physical Theory: The Abandonment of Mathematical Epicycles and the Axiomatization of Unified Field Theory Based on LC-R Framework

This paper proposes a radical axiomatic framework for physics—the LC-R (Leech Lattice - Rate of Hysteresis) model—designed to resolve fundamental dilemmas such as UV divergence and the Mass Gap problem inherent in continuous manifold-based gauge theories. We depart from the traditional assumption of differentiable spacetime, adopting the 24-dimensional Leech Lattice ($\Lambda_{24}$) as the "hard-core" discrete background at the Planck scale. By defining the vacuum as an incompressible topologica