HCSM (Hodge Complex Standard Model)

HCSM is an open research framework that derives key aspects of the Standard Model of particle physics and gravity from a single discrete structural substrate, the periodic 8×8 torus and its Hodge complex. It comprises two programs: a derivational program that fixes the particle spectrum, gauge structure, masses, and cosmology from first principles, and a quantum program recovering classical and quantum field theories as continuum limits. The framework is rigorously defined, open-source, and validated against observed physical data with high precision, providing testable predictions.