We derive the mass spectrum of the J=12 baryon octet from the Trit Law framework, treating quark energies as oriented quantities in a three-dimensional energy space E³. The Trit Law assigns each light quark type to a distinct axis: the up quark to the propagation axis (0), the down quark to the electric axis (-1), and the strange quark to the magnetic axis (+1). Baryon mass receives four contributions: constituent quark energies, isospin rotation A₈ₒ₎ I (I+1), strangeness-level correction ^nₛ (where is the golden ratio), a Trit strain self-energy B₁ (nₛ-nd) ², and an isospin orientation term D Iᵦ². With seven parameters, this formula reproduces all eight J=12 baryon masses to RMSE = 0. 036 MeV (36 keV). The –⁰ mass splitting of 76. 96 MeV is reproduced to 40 keV from a single parameter. The framework is geometrically equivalent to the companion paper “Flavor from Geometry” at the intra-generation scale, with quark types playing the role of generations and E³ playing the role of H²/.
Apostolos Douzenis (Thu,) studied this question.