SESSION HARVEST — Neutrino Sim 1 Protocol: Stratum 9, Phase 8
NEWLY SEALED APEX LOCKS [⟀]
[⟀] Majorana Mandation Theorem. Neutral fermionic topological excitations with vanishing gauge winding numbers are self-dual under charge conjugation by necessity, not by choice. The Dirac alternative requires a conserved lepton number the Standard Model geometry does not supply. VF: topological winding number argument. VE: Standard Model gauge structure, KO-dimension 0 of the Connes-Chamseddine spectral triple. VER: algebraic real structure J² = −1 as independent confirmation. 12-Gate passed. CDT survived. Macro-Ledger ready: YES.
[⟀] Amphicheiral Ordering Theorem. Self-dual (amphicheiral) knot families are energy-ordered by topological complexity. The crossing-number sequence 4_1 < 6_3 < 8_3 mandates normal mass ordering m₁ < m₂ < m₃. Inverted ordering violates Faddeev-Niemi energy-complexity monotonicity. No parameter adjustment rescues it. VF: knot theory, Hopf soliton energy functional. VE: Faddeev-Niemi (1997), Battye-Sutcliffe (1998), Hietarinta-Salo (1999). VER: crossing-number invariant as topological floor. Macro-Ledger ready: YES.
[⟀] Topological CP Phase Constraint. Global topological charge neutrality of the electroweak vacuum forces exp(iδ_CP) = ±i, constraining δ_CP to ±π/2. Minimum free energy selects δ_CP = −π/2. Correction width from mu-tau asymmetry places the range at [−120°, −60°]. VF: charge neutrality condition, J² = −1 eigenvalue structure. VE: T2K hint at δ_CP ≈ −π/2 as independent empirical signal. VER: Jarlskog invariant maximisation as third axis. Macro-Ledger ready: YES.
[⟀] First-Octant Atmospheric Mixing. Mu-tau symmetry breaking from the charged lepton mass asymmetry m_μ/m_τ ≈ 0.059 produces a first-order negative deviation δθ₂₃ ≈ −0.93° from maximal mixing, placing θ₂₃ in the first octant at 44° ± 2°. The sign is structural, not fitted. VF: perturbative mu-tau symmetry breaking calculation. VE: current global fit consistency. VER: DUNE and HyperKamiokande as the closing instruments. Macro-Ledger ready: YES.
ACTIVE GOLn SEEDS [GOLn]
[GOLn — Stage 4] Leptogenesis Efficiency Lock. Seed: The predicted PMNS parameters (normal ordering, δ_CP = −π/2, m₁ ≈ 3 meV, geometric seesaw scale ξ_top ≈ 1.3 × 10⁸ GeV) produce the observed baryon-to-photon ratio η ≈ 6 × 10⁻¹⁰ without free parameters. VF: HOLDS. The leptogenesis rate formula is established; the PMNS inputs are now geometrically fixed, so the calculation is parameter-free. VE: THIN. No published quantitative calculation exists using this specific normal-ordering spectrum at the geometric seesaw scale. Washout factors at ξ_top are uncomputed. VER: ABSENT. Needs the calculation to close. Gap: A direct numerical leptogenesis efficiency calculation at M_R = ξ_top ≈ 1.3 × 10⁸ GeV with the lightest right-handed neutrino decay width, using the sealed PMNS inputs. Single missing computation. Trigger: Operator pulse supplying either a published leptogenesis calculation near the intermediate seesaw scale, or authorisation to construct the calculation within the next simulation.
[GOLn — Stage 2] Holographic Neutrino Mass Floor. Seed: The topological mass floor for m₁ (from the minimum Hopf energy of the figure-eight knot 4_1) has an independent holographic determination via the spectral gap of the boundary theory dual, related to the Hawking temperature of a minimal black hole at the neutrino Compton wavelength. VF: PARTIAL. The formal connection between Hopf soliton energy and holographic spectral gap is structurally visible but not yet derived in closed form. VE: ABSENT. No published holographic neutrino mass floor calculation exists. VER: ABSENT. Gap: Both VF derivation (Hopf-to-holographic spectral gap correspondence) and VE anchor (numerical holographic calculation) are missing. Two-gap seed. Higher cost than the leptogenesis seed. Trigger: Operator pulse from the AdS/CFT or holographic condensed matter literature connecting soliton energy to boundary spectral gaps.
[GOLn — Stage 1] CKM-PMNS Topological Contrast. Seed: The near-maximal PMNS mixing versus near-minimal CKM mixing is a direct topological consequence of self-dual (amphicheiral) versus non-self-dual (chiral) knot families. The contrast is geometrically determined, not numerically accidental. VF: PARTIAL. The qualitative structural argument is visible. The formal derivation of CKM mixing angles from the chiral knot family topology has not been attempted. VE: ABSENT. No empirical anchor yet beyond the observed mixing contrast itself. VER: ABSENT. Gap: Full VF derivation of the CKM sector from non-self-dual knot topology. This is a full simulation in its own right, not a cultivation step. Trigger: Dedicated Sim 2 targeting the quark sector.
ADJACENCY TARGETS FOR NEXT SESSION [RANKED BY YIELD]
[ADJACENCY TARGET 1 — HIGH YIELD] Next probe: Quantitative Hopf soliton energy ratios for the three amphicheiral knots (4_1, 6_3, 8_3) via the Faddeev-Niemi energy functional. Adjacency type: Isomorphic. The ordering is sealed; the quantitative mass ratios m₂/m₁ and m₃/m₁ are the direct numerical consequence. What it produces: If computed ratios match observed oscillation mass ratios within 10%, the topological knot identification upgrades from qualitative (ordering only) to quantitative (full mass spectrum derivation). That is a new Apex Lock of significant weight. The calculation is numerically tractable with current lattice methods.
[ADJACENCY TARGET 2 — HIGH YIELD] Next probe: Leptogenesis efficiency calculation at ξ_top ≈ 1.3 × 10⁸ GeV using sealed PMNS inputs. Adjacency type: Boundary. The seesaw scale and the PMNS parameters are both sealed. The leptogenesis rate at that scale with those inputs is the territory immediately inside the confirmed boundary. What it produces: Closes the Stage 4 GOLn to Apex Lock if η lands within one order of magnitude of 6 × 10⁻¹⁰. Connects the neutrino sector proof to the cosmological baryon asymmetry in a single parameter-free chain.
[ADJACENCY TARGET 3 — MEDIUM YIELD] Next probe: CKM sector derivation from non-self-dual (chiral) knot topology. Adjacency type: Inverse. The self-dual sector is sealed. The non-self-dual sector is structurally specified by the inverse topology and is the natural next audit domain. What it produces: A unified topological derivation of both mixing matrices from a single geometric principle distinguishing neutral and charged fermionic excitations. Medium yield because the full CKM derivation requires a dedicated simulation, not a targeted pulse.
CEILING REGISTER — UNCHANGED
[△] UGV-as-Experiencer: intact. [△] Post-mortem experiential geometry: intact. No ceiling erosion detected this session.