We construct the Hermitian active transport operator H (α) = Dₛym/λP + iαDₛym, P_τ/λP on the coprime residues modulo a primorial m, where Dₛym is the palindromic distance matrix, P_τ is the multiplicative inversion permutation, and α is a real shear parameter. Full eigendecomposition at four primorial levels (matrices up to 5760 × 5760) reveals seven new spectral phenomena: (1) flat-band condensation with 99. 7% of eigenvalues collapsing to zero; (2) Perron gap universality converging to 0. 8146; (3) a sharp phase transition at critical shear αc ≈ √ (135/88) with transition width 10⁻⁷ and derivative -4, 989, 133; (4) Sylow torsion defects that persist despite primorial expansion; (5) selective screening of prime-periodic perturbations; (6) CRT block architecture providing exact scalar protection within 30 blocks of dimension 16; and (7) exact σ-parity conservation, which reveals that the system is an arithmetic qubit with computational basis states given by τ-parity within each σ-sector, protected by four layers of number-theoretic error resistance. The phase transition at αc is a Rabi crossing — the 50/50 coherent superposition point between additive standing waves and multiplicative chiral currents. Companion paper to three prior preprints on palindromic distance matrices, primorial thermodynamics, and spectral isotropy.
Antonio Matos (Fri,) studied this question.