Geometric Spectroscopy of Hadrons from a Conical Fibonacci Spiral

We present a unified geometric framework for hadron spectroscopy based on a logarithmic Fibonacci spiral on a cone. Three tiers of the construction are developed: the Fermion Tier reproduces Standard Model fermion charge patterns from a single formula involving the golden ratio; the Cosmological Tier connects the same geometry to the vacuum energy hierarchy 10^{-122}; the Hadronic Tier predicts baryon masses through helix contact geometry on the cone. All key coefficients entering the baryon mass formulas are determined by geometric relations of the cone without additional free parameters: a_3 = cos(alpha)*(1-beta) with 0.20% accuracy, a_2 = 1 - beta/2 with 0.61% accuracy, Delta_s = 2*E_Lambda*beta with 4.5% accuracy. The framework reproduces light baryon masses (Lambda, Sigma, Xi, Omega) with mean error 0.87%, singly heavy baryons (Lambda_c, Xi_c, Omega_c, Lambda_b, Xi_b, Omega_b) with 0.95%, and doubly charmed baryons Xi_cc with 0.38%. The recently observed Xi_cc+ (LHCb, March 2026) is reproduced with 0.36% accuracy without parameter adjustment. One undiscovered baryon is predicted: Omega_cc(1/2+) approximately 3.778 GeV, consistent with lattice QCD within 1.8%. The asymmetric bc diquark system (Xi_bc, Omega_bc) is identified as an open problem requiring extension to two-scale interaction geometry. This work is part of a series: Level 1 (fermion charge patterns, Zenodo DOI 10.5281/zenodo.18973836) and Level 2 (cosmological hierarchy) provide the geometric foundation.