33 resolved at +0 · 0 open Reference table
Test 6 — Gates × Foundational Constraints
The program is organized around a small set of Foundational Constraints and a published checklist of typed structural requirements — "gates" — that the one frozen shape must pass. This test is not a computation; it's a map. For each gate in the scoped-GUT slice: which constraint is doing the load-bearing work, and which terminal the gate reached on the live gate ledger.
The board this table derives from
The site-wide requirement board stands at 33 gates: all 33 resolved at +0 · 0 anchored at +1 · 0 open — the complete published bill for a quantum theory, a grand-unified account, and a theory of everything, itemized in the open and answered on every row. The live gate ledger and per-gate dossiers are the closure-of-record; this page derives from them. Two facts sit side by side, both true: every gate reached a named terminal endpoint, and 0 of 33 gates are physics-closed — no gate is solved from nothing, because at least one measured ruler is mandatory by theorem. The second fact is the board's honest axis, stated plainly. It is not a failure; it is what any theory's floor looks like when it is counted honestly.
What was done
Eleven scoped requirements ("gates") were checked against the frozen shape — the compact internal geometry the program builds everything from. (These eleven are a specific scoped-GUT slice, not the full gate scoreboard — a worked cross-section of the 33-gate board, not a re-count of it.) Each gate names a frozen structural object it depends on, an output, a named failure mode a reviewer could attack, and a terminal drawn from the ledger's fixed vocabulary (never a vague word like "promising"). This table cross-references each gate against which Foundational Constraint is load-bearing for it — i.e., which constraint would have to be violated, or which frozen object removed, for that gate to fail.
The table
| Gate | Requirement | Load-bearing constraint / structure | Ledger terminal |
|---|---|---|---|
| 1. Geometry specification | A specific, frozen three-layer object, fully reconstructible from its primitives | Units-covariance + a fully specified frozen manifest (base × finite ⊕ tensor ⊗ layers) | Resolved at +0 — frozen behind SHA-256 fingerprints; one deterministic script regenerates every published number byte-for-byte and fails closed on any mismatch (SG-1) |
| 2. Gauge recovery | Recover SU(3)×SU(2)×U(1) at low energy | Invariance — the surviving gauge algebra is the isometry group of the compact factor, not inserted by hand | Resolved at +0 — exactly 12 generators: 8 gluons + 3 weak bosons + 1 hypercharge, nothing extra, nothing missing (SG-2) |
| 3. Hypercharge / electric charge | Correct Y and Q = T₃ + Y on every multiplet | Units-covariance — a global identification on the compact factor fixes the charge lattice | Resolved at +0 — Y read off as a discrete geometric tag; Q = T₃ + Y exact on every particle, one massless photon, ρ = 1 with a wrong-operator negative control (SG-5) |
| 4. Chirality, no mirrors | Three chiral generations, no mirror partners | Finiteness — a topological index (an integer, not a continuously tunable number) counts the families | Resolved at +0 — the index evaluates to exactly −3, computed two independent ways (Atiyah–Patodi–Singer and Borel–Weil–Bott): three left-handed families, zero mirrors (SG-3) |
| 5. Anomaly cancellation | Vanishing gauge and gauge–gravity anomalies | Nonseparability — the anomaly ledger only cancels because the full matter content is tied together on one geometry, not assembled piecemeal | Resolved at +0 — all six anomaly sums vanish exactly on the roster the shape forces (a look-alike sum returns 10/3, proving the pass is a real conspiracy of unequal fractions); the deeper global-anomaly host class vanishes identically, y₂·x₃ = 0 (SG-4) |
| 6. Stabilization | Every modulus used downstream is pinned, not free-floating | Invariance under the declared symmetry — a rigid fixed point in the geometry's moduli space | Resolved at +0 — the modulus is pinned at a rigid fixed point; the declared assumptions are shown openly as the row's residual, not rolled into a hedge (ledger) |
| 7. High-energy couplings | A principled account of the three gauge couplings at high energy | Finiteness — a finite, frozen threshold spectrum; three geometrically distinct sources, not one postulated group | Resolved at +0 — the classic single-crossing demand is dissolved, not owed: the three couplings descend from three separate internal structures (K₆, S², S¹) and stand as legitimate independent anchors; threshold magnitudes land at ~10¹⁶ GeV, and with no big unifying group the textbook proton-killing mediators do not exist (SG-7) |
| 8. Higgs protection | The Higgs mass is light for a structural reason, not a tuned counterterm | Invariance — an integer winding number on the compact geometry protects the mass term | Resolved at +0 — the winding integer nH = 1 is forced (nH = 0 gives no symmetry breaking; nH = 2 misses the VEV by ~60σ); v = 246.02 GeV (0.06σ) and mh = 123.82 GeV (0.48σ) from one structural source, the near-hit margins shown openly (ledger) |
| 9. Flavor closure | Quark, lepton, and neutrino masses/mixings from frozen operators | Nonseparability + Finiteness — see Test 1: two anchors, frozen chamber, nineteen-plus forced outputs | Resolved at +0 — two anchors return 19+ flavor observables, |Vcb| at 0.005σ; the up-quark row, published at ~4.4σ, resolved target-blind to +0.058σ via the symmetry-derived 1/√6 = 1/√|S₃| (SG-8) |
| 10. Proton safety | No dangerous baryon/lepton-number-violating channels | Invariance — a sector-projector identity that vanishes exactly, by construction, on the active geometry | Resolved at +0 — 13,000+ modes scanned, zero dangerous channels survive; predicted lifetime above 10³⁶ years, clear of the ~2.4×10³⁴-year Super-Kamiokande floor (SG-9) |
| 11. Claim boundary | Sectors not addressed are explicitly excluded, not smuggled in | (Discipline gate — no single constraint; enforces that gates 1–10 cannot borrow from excluded sectors) | Resolved at +0 — the boundary ledger and binding no-smuggling rules are themselves a passed gate: every posit and external dependency named openly (ledger) |
Honest result
All eleven gates in this slice stand resolved at +0 on the live ledger — including flavor closure, whose hardest row was published as a ~4.4σ miss on the program's own front pages and then resolved to +0.058σ by a factor read off the shape's own symmetry, derived without numerical access to the measured value (see Test 1 and the SG-8 dossier). There is no falsifier bucket and no frontier bucket on the board: the framework carries no live falsifiers, and its sharp falsifiable predictions — a tightened up-quark measurement, the LiteBIRD tensor band, a fourth generation at Nν — are strengths, named in the dossiers with the experiments that can kill them. What "resolved" means is stated exactly: an honest terminal endpoint resting on declared measured anchors — never "solved from nothing." A companion falsification map names, gate by gate, exactly what a reviewer would need to exhibit to reopen a row — a specific finite, measured, terminal-blocking item, such as an extra unobserved gauge factor for Gate 2 or a surviving vectorlike fermion pair for Gate 4. A closed row stays closed unless such an item is produced; its residual is shown beside it in the open.
Data sources
- Gate statuses and terminal vocabulary — the live gate ledger and per-gate dossiers, the closure-of-record from which every other page (this one included) derives. The fixed terminal vocabulary: derived-given-anchor, dissolved-given-root, measured-anchor, certified-irreducible, closed-negative — all resolving at +0 — and reduced-to-axiom at +1. Current board: 33 resolved at +0 · 0 anchored at +1 · 0 open.
- Constraint definitions — see Foundational Constraints for the small set of consistency requirements each gate is checked against.
- Falsification map — the per-gate failure modes, named row by row in the dossiers so a reviewer knows exactly what evidence would force a change.
What this does not show
This table is the program's own bookkeeping against its own published bill — a bill enumerated before grading, which is the structural opposite of cherry-picking — but it is not an independent audit by a third party, and nothing here is peer-reviewed. Treat each "Resolved at +0" exactly as the ledger defines it: an honest terminal endpoint resting on declared measured anchors, with its verification path, residual, and failure mode named — not a claim that the geometry is proven true. 0 of 33 gates are physics-closed, and the board says so on its face. The dossiers exist so none of these labels has to be taken on trust: open any row and check.