Spectral Encoding under Uniform Regulation

The author completes the structural program of regulated accumulation by constructing a non-diagonal uniformly regulated operator whose spectrum is discrete and stable. Weyl-type asymptotics, a trace formula, and a spectral determinant are derived explicitly. Now proving that equality between the regulated trace identity and the Riemann explicit formula is necessary and sufficient for spectral identification with the nontrivial zeros. The operator-theoretic closure is complete; arithmetic identification is isolated as a single conditional equality. ^{[1][2][3][4][5][6]}