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Memory #119 CURRENT

Majorana Paper Landed TTI.RES.MAJORANA-001 v0.1 DRAFT — Majorana state = ⊛-fixed point of I.SELFINT, four mappings, four predictions P1–P4 (2026-04-25) **Landed 2026-04-26.** Paper ID: `TTI.RES.MAJORANA-001 v0.1` (DRAFT — for internal review). Files at `D:/GitHub/tribernachi/research/majorana/` (.md, .docx, .pdf). ## Core thesis Majorana fermion (γ = γ†, γ² = 𝟙) is the natural fixed point of the σ₁/σ₃ involution defined by I.SELFINT. Dirac fermion is the *generic broken-symmetry case*; the symmetry-breaking spurion is the same √𝔊₀ ≈ 0.343 hierarchy that pervades Tribernachi Theory V6.8. Sterile neutrinos — the only Standard Model candidates for fundamental Majorana behavior — fall in the fixed-point sector because they carry no gauge charges to act as spurions. ## Four mappings 1. γ² = 𝟙 ↔ I.SELFINT ⊛-fixed point 2. Four-Majorana non-abelian braiding ↔ Q.YMG.01 N ≥ 3 abelian threshold (smallest non-trivial braid lifts past N = 2) 3. Kitaev poor-man's-Majorana sweet spot ↔ (4,1) cascade with stability basin √𝔊₀ ≈ 0.343 4. Toroidal-only EM coupling ↔ Genesis floor on gauge-singlet sector ## Four falsifiable predictions - **P1** Braid generators on four-Majorana ground manifold embed in Gell-Mann basis with Q.YMG.01 structure constants f_abc - **P2** Poor-man's-Majorana zero-bias signature persists over fractional detuning ±√𝔊₀ ≈ ±34% - **P3** Fundamental Majorana anapole coupling scales as 𝔊₀² ≈ 0.0139 - **P4** (engineering) Topoconductor single-shot parity error floor ≤ 𝔊₀⁵ ≈ 2.3 × 10⁻⁵ ## Skill patch applied 2026-04-26 TF.SKILL.PATCH-2026-04-26 v1.0 was originally written against the web-Claude `tribernachi-theory` skill format (SKILL.md + 16 reference files at `/mnt/skills/user/...`). After the foundation export was imported into local repo `D:/GitHub/tribernachi-foundation/` on 2026-04-26, the patch was adapted and applied to the local equivalents instead: - **`MASTER_AXIOM_CATALOG_V6_3 → V6_4`**: I.SELFINT entry gains Fixed-Point Sector subsection; Validation Matrix gains 4 Pending rows (P1–P4); Derived Constants gains 𝔊₀² ≈ 0.013889 (Toroidal Coupling Scale); version-history entry recorded - **`OPEN_QUESTIONS_INDEX_V5_5 → V5_6`**: new MAJ cluster with 4 questions (OQ.MAJ.001–004 — see "Open questions" below); cluster summary updated; total ≈81 → ≈85; FUTURE MEMORY MODULE assigns prime base 23 - **`axiom_structure_updated.md`**: I.SELFINT entry references fixed-point sector + cross-references the new V6.4 / V5.6 files V6_3 and V5_5 retained as historical snapshots so older docs that reference them by name (e.g., `business_engineering/GCE_DEV_REF_001_V2_0_COMPLETE.md`) stay correct. Commit `d0b075f` in `tribernachi-foundation`. Original patch document at `tribernachi/skills/patches/TF_SKILL_PATCH_2026-04-26_V1_0.md` is the patch-of-record (no longer "pending application"). ## Open questions (Appendix B → OPEN_QUESTIONS_INDEX_V5_6.md MAJ cluster) - **OQ.MAJ.001** — Ising-Anyon Braid → Gell-Mann Basis Map Continuity (HIGH) — is the basis map continuous or does it require discrete branch choice? - **OQ.MAJ.002** — 𝔊₀² Anapole Scaling: Fundamental vs Bogoliubov Sector (MEDIUM) — does the toroidal-coupling normalization apply to engineered Bogoliubov Majoranas or only fundamental fermions? - **OQ.MAJ.003** — Kitaev Protection Length vs I.COM σ₁/σ₃ Channel Separation (MEDIUM) — what's the formal relationship between Kitaev ξ ≈ 𝔗₀·a and TGSS-SSH transport σ₁/σ₃ separation? - **OQ.MAJ.004** — (4,1) Cascade Test in Multi-Majorana Hardware (HIGH) — can 6/8-Majorana experiment directly verify the cascade structure at device level? ## How to apply When discussing fermion physics, particle/antiparticle symmetry, Majorana states, topoconductors, or sterile-neutrino dark matter — frame from the I.SELFINT fixed-point perspective rather than starting from Dirac and treating Majorana as exotic. Cite TTI.RES.MAJORANA-001 v0.1. — [project_majorana_paper.md]

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