v3.2 — BSD Conjecture via Daugherty Spectral Operator

BSD Conjecture via the Daugherty Spectral Operator

(A) ⟹ BSD — conditional on GUE universality for H_D^E*

Key Results

• First concrete Hilbert-Polya operator for elliptic curve L-functions
• Hasse bound unconditional — BSD is structurally easier than RH
• 11,500x11,500 eigendecomposition: eigenvalues are curve-dependent
• 37a1 outlier: 10x spectral signal (122 shifted eigenvalues)
• Rank-2/3 perturbation saturates at 0.029
• Function field validation: BSD + GUE both proved over F_q(t)

Contents

• 556-line paper (8 theorems, 12 references, 6 figures)
• 5 JSON data files (13 curves, ranks 0-3)
• 6 publication-quality figures

Authors

Bryan Daugherty, Gregory Ward, Shawn Ryan