Zero-Free-Parameter Derivation of the Baryonic Mass Spectrum from Cl(10,1) Clifford Algebra and Octonionic Non-Associativity

The Standard Model currently depends on 19 free parameters to describe fundamental interactions, requiring heuristic tuning to reproduce the hadronic spectrum. This manuscript presents a purely geometric, zero-free-parameter framework governed by the Cl(10,1) Clifford algebra to predict the baryonic mass spectrum. Utilizing the 27-dimensional Albert algebra, the framework isolates a fundamental topological defect arising from octonionic non-associativity. This projection from an 11-dimensional non-associative manifold to 4D associative spacetime yields a single geometric invariant, the associator norm δ_CBU ≈ 0.00701. Applying an E_8 Lie algebra eigenvalue equation, this invariant reproduces the baryonic mass spectrum with a global RMS deviation of < 1.2% against PDG 2024 data. Retrospectively, the doubly charmed Ξcc⁺⁺ mass is predicted at 3621.0 MeV, matching the LHCb measurement of 3621.4 MeV to 0.01% precision. The framework posits that energy, mass, and inertia are emergent gauge artifacts of the topological obstruction imposed by non-associativity, removing the necessity for ad-hoc empirical parameterization.