Anomalous Spectral Correlations in the BCC Lattice Dirac Operator

A lattice field theory framework in which the fine structure constant and the proton-electron mass ratio emerge from the spectral geometry of the body-centered cubic (BCC) lattice Dirac operator. The framework takes two inputs — the BCC coordination number n = 8 and π — and produces values for both constants with zero free parameters, achieving agreement with CODATA 2018 values to better than 0.005 ppb and 0.03 ppb, respectively.