Spectral Physics: A Unified Framework (v0.8)

A mathematical framework deriving geometry, quantum mechanics, and consciousness as three projections of a single operator—the Laplacian on a relational structure. From four axioms and no free parameters, the framework derives the Standard Model gauge group SU(3)×SU(2)×U(1), over twenty fundamental parameters (including |V_us| to 0.12%, α_s(M_Z) to 0.4%, v = 246.17 GeV to 0.02%), the cosmological constant as a spectral gap identity, and a complexity threshold for consciousness with testable predictions for artificial and biological systems. Companion code: https://github.com/ember-research-lab/Spectral-Physics