THE ORIENTATION PARAMETER Ω Charge Sign, Baryon Number, and the Topology of Antimatter Inversion . (XXIV v6)

In this work, the topological foundations of CPT antimatter conjugation and baryon number conservation are formally derived through the Global Orientation Parameter Ω ∈ {+1, -1}, anchored to the tri-coordinated Y-gate in the bilateral braneworld (FCD-RBv6). Naive models of antimatter—based on continuous mass swaps across the 5D inter-brane substrate—suffer from three catastrophic failures: (1) charge degeneracy that conflates weak flavor changes with antiparticles; (2) unconstrained baryon number, permitting unphysical states (e.g., Q = -1e with B = +1); and (3) confusion between the non-collisional mirror dark sector and local, annihilating CPT antimatter. We uncouple antimatter conjugation from inter-brane mass transport by proving that Ω operates as a discrete global sign parity across the three Einstein-Rosen (ER) dipoles of the nucleon: Q_visible = Ω · Q_TBMAR = -Ω [(m_mirror - m_visible)/M] e, and B = Ω · |B_0| = Ω · (+1). Under Ω = +1, standard matter is recovered: Proton (Q = +1e, B = +1) and Neutron (Q = 0, B = +1). Under Ω = -1, exact CPT antimatter emerges without transferring mass: Antiproton (Q = -1e, B = -1) and Antineutron (Q = 0, B = -1, with magnetic moment μ_n̄ = +1.913 μ_N). We establish that the electronic Rayleigh surface mode (-0.511 MeV) at the minority-mass endpoint responds with charge q_lepton = -Ω · e, projecting two orbital positrons at the boundary of the antiproton and directly deriving the 1.022 MeV pair annihilation threshold. Topological discreteness is strictly enforced by the tri-coordinated closure singularity of the Y-gate (Φ_A = Φ_B = Φ_C = 0), dynamically triggered by the sign of the pressure gradient ∇P_bulk in the 5D matrix. Finally, because the rest masses anchored at the Compton centrifugal floor (R_0 ≈ 0.6308 fm) remain unaltered, antimatter gravitates with identical positive attraction (g_antimatter = g_matter) via phase-space mode depletion (S = 0, dS = 0).