LANDED / PROVEN / ON-MAIN REAL but partial/narrow DESIGNED / FRONTIER / hypothesis PROVEN-STRUCTURAL (theorem) real+SYNTHETIC caveat INVERSION CANDIDATE

THE COGNITION SPINE (closed loop)

↺ credit → memory (closed-loop return)
L7
CREDIT
utility-binding knot → seal
DESIGNED
L6
EXECUTOR
committed action trajectories
DESIGNED
L5
DECISION
basin wells + admission gate
REAL_NARROW
L4
PERCEPTION
Hⁿ×Eᵐ×Sᵏ fiber-lift world
DESIGNED
L3
INTUITION
PPR field OVER the memories
ON-MAIN(field core) · warm ceiling BLOCKED-ON-T1
L2
THINKING
committed snowflakes + VSA binds
VALIDATED
L1
MEMORY
Hⁿ base + snowflakes (sha256)
PROVEN
▲ senses in at MEMORY, action out at EXECUTOR ▲
Threading ALL 7 layers (multi-dim carriers):
- CHORD - conserved snowflake-merkle spine (gold ring at every anchor, coordinate-free)
- FIELD - degree-damped PPR, the recall operator (Weinberg #18), not localized
- BRAIDS/MESH - cross-layer binding + durability weave
- each layer replicates the base's Hⁿ×Eᵐ×Sᵏ world (disk-field, Eᵐ platforms, Sᵏ fiber, fiber-lift cords)

L0 · MEMORY (spine base) 7

Sealed content-addressed WICKs + capture/transport into the store - the well the whole system grows from.
PROVENMEMORY (content-addressed WICK)
ON-MAINP1.3 · TYPED STORE API SEAM (S1) — ON MAIN
ON-MAINWICK_TRANSLATOR_v1 — SimHash → hypervector (HDC) — ON MAIN
PARTIAL_ON_MAINB3 DOGFOOD — capture path VERIFIED end-to-end · ORGANIC accrual pending
ON-MAINVALUE-PARSE P1 capture gate — ✅ LANDED on origin/main (84920cd127) · P2 BUILD→land hard-gate CLEARED
ON-MAINWICK_CONTINUOUS_INGEST v1 (transport / wick-capture) — LANDED on origin/main, LIVE (dormant)
DESIGNEDWICK_BLOOM_ADMISSION_v1 — Bloom neg-gate (tier 1) at L0 admission/dedup — DESIGNED, UNBUILT

L1 · THINKING (spine) 4

Committed snowflakes + grounding invariants + binding-knot seal + ETF branch frames.
SHIPPEDSNOWFLAKE-MERKLE VERIFIABLE-MEMORY SPINE (store.ts) — DONE (gated)
PROVENGROUNDING INVARIANTS I1-I4
REAL_SYNTHETICETF/polytope branch frames (ancient-polytope kernel)
ON-MAINP1.4 · BINDING-KNOT INTEGRITY SEAL — FULL ON MAIN

L2 · DURABILITY (cross-cutting plane) 5

Holographic k-of-n erasure + braid-MDS shards + dual-recovery - survives loss.
PROVENHOLOGRAPHIC ERASURE CODE
ON-MAINBRAID-MDS DURABLE-SHARDS CODEC (Cauchy-RS) — ON MAIN
PASSDURABILITY FLOOR (live-threat-model) — 6/6 PASS
ON-MAINS2 · DURABILITY + DUAL-RECOVERY GRADUATED INTO SEAM — ON MAIN
ON-MAINDUAL-RECOVERY (A5, Hamming⊕braid-MDS)

L3 · ADDRESSING / GEOMETRY (cross-cutting plane) 7

Ultrametric hierarchy, chaos-lattice/pinball theorems, chord/harmonic keys, the StructuralAddressIndex phone-book.
PROVEN_STRUCTURALSNOWFLAKE HIERARCHY (ultrametric)
PROVEN_STRUCTURALCHAOS-LATTICE theorem (A3)
PROVEN_STRUCTURALPINBALL-SFT theorem (A4)
VALIDATEDVariable-dimension inversion (flag/stratified, brain population manifolds)
DESIGNEDP1.6 · CHORD → CXDB ADDRESSING
DESIGNEDP1.7 · HARMONIC → SHIFT-INVARIANT KEYS
DESIGNEDStructuralAddressIndex (SAI) — SEED-authorized (wick-capture), behind transport priority

L4 · INTUITION + PERCEPTION (spine mid) 6

The PPR FIELD over memories (ON MAIN) + Fisher-Rao belief-update + Chen signature + negative-selection (first field IMPROVEMENT) + perception bundle.
ON-MAININTUITION = the PPR FIELD (confirmed core, ON MAIN default-OFF) · warm ceiling gated PROXY-THEN-REAL
DESIGNEDPERCEPTION (mixed-curvature bundle T*M over Hⁿ×Eᵐ×Sᵏ)
BUILTINTUITION belief-update (Fisher-Rao natural gradient) — operator mechanism
CONFIRMEDPERCEPTION frame — rough-path Chen signature (order-aware)
PROVENFIELD-ON-DENSE RESCUED — the field needs density
VALIDATEDNEGATIVE SELECTION (γ>0.5) — first field-IMPROVEMENT of the arc

L5 · DECISION / COMPOSITION (spine + composition plane) 5

Chaos→order admission gate + cord/weave/10-theorem composition + VSA role-binding + consolidation (real-but-narrow).
VALIDATEDVSA ROLE-BINDING (real-data confirmed)
PROVEN_STRUCTURALCORD+WEAVE composition (A2)
PROVEN_STRUCTURAL10-THEOREM LATTICE / composed-chain (A8)
REAL_NARROWCHAOS→ORDER ADMISSION GATE (FTLE / basin-flip)
REAL-BUT-NARROWCONSOLIDATION — real-but-narrow (NOT the grand keystone)

L6 · SECURITY / EXECUTOR (cross-cutting + spine) 4

Chaos-security avalanche + goldguard attest-bind + evidence-integrity hardening + overwatchd.
VERIFIEDCHAOS-SECURITY (#13) — avalanche / one-wayness
ON-MAINGOLDGUARD ATTEST-BIND v4 — gold-independence guard — ON MAIN
BUILTWICK_EVIDENCE_INTEGRITY_HARDENING_v1 — 7/7 guards green, at BUILD→VALIDATE (builder: wick-capture); v3 schema DEFAULT-OFF, MAIN/operator-gated cutover
PASSoverwatchd RECOVERED — canonical kickstart (no pid killed) · re-sign of degraded evidence pending

LAW (cross-layer) 9

Operator-named laws: Dominance, Field-Subsumption #18, Attractive-Repulsive #20, Berkovich unification, verifiable-recall ladder, the axes-the-field-cannot-see moat. RECALL_STACK flagged SUSPECT (re-verify at scale).
PROVENTHE DOMINANCE LAW (cross-session, real-data)
RECALL_SUSPECTRECALL STACK · SELECT-composed (cosine+field+VSA+snowflake+chord)
REAL_SYNTHETICMULTIDIMENSIONAL COVERAGE + the ROUTING WALL
VALIDATEDNON-ARCHIMEDEAN UNIFICATION (Berkovich L1+L2)
CONFIRMEDTHE WEINBERG FIELD SUBSUMPTION LAW (#18) — operator-named
PROVENATTRACTIVE-REPULSIVE DUALITY (#20) — exclusion / steerable retrieval
THESISTHE AXES-THE-FIELD-CANNOT-SEE THESIS (the moat)
CONSTRUCTIONTHE CONSOLIDATION 0→1 — VERIFIABLE RECALL (construction-of-record)
CONFIRMEDVERIFIABLE-RECALL PROOF LADDER — 2 rungs BANKED, rest OPEN CONJECTURE

TOOL / INFRA 7

Harness, resolvers, prodwire, receipts, serving-index, gold-arm - the machinery (mostly ON MAIN).
REAL_SYNTHETICMSP projection fidelity (Marstrand diagnostic)
BUILTGeometry-composition harness (8 geometries × 8 combination laws, pluggable)
ON-MAINQREL CONTENT RESOLVER v1 — judge-ready labeling view — ON MAIN
ON-MAINCO-ACCESS PRODWIRE v2 (memory-router store capture, default-OFF) — ON MAIN
ON-MAINEMIT-RECEIPT sprint — ✅ MERGED TO MAIN (1f9590ed, cockpit git-verified) · full FSM + red-team chain complete
VERIFIEDINDEPENDENT GOLD ARM — SEQUENCE COMPLETE · FLIP VERDICT AS FROZEN: FAIL (honest, fully decomposed)
BUILTWICK_SERVING_NEIGHBOR_INDEX — GRIND close-out, at BUILD→close

ROAD (roadmap / designed) 5

Revocation, higher-spaces, MODULUM loop B3, roadmap trunk, build-alignment composition (the real 0→1 gap).
PENDING_CONVERGENCEP1.5 · REVOCATION / TOMBSTONING
DESIGNEDHIGHER MEMORY / SPACES (L3) — STAGE 2
PARTIAL_ON_MAINWICK↔MODULUM LOOP (the REAL B3) — B1+B2 ON MAIN · box live BUT REAL RECALL BLOCKED (berth-restore defect)
DESIGNEDROADMAP TRUNK (coord, 2026-07-08)
DESIGNEDWICK SYSTEM BUILD-ALIGNMENT — pieces built default-OFF, COMPOSITION is the gap

FRONTIER 7

Open theory-mine leads: tropical min-plus, VSA capacity-law, chaos⊗chord, item-D order, no-transfer bounds, damage-tolerance, unknown-unknowns.
FRONTIERTropical min-plus path geometry
FRONTIERVSA capacity-law formalization
FRONTIERChaos-lattice ⊗ chord
FRONTIERItem-D → order-coordinate
FRONTIERMulti-dimensional no-transfer bounds
VALIDATEDSignature intrinsic DAMAGE-TOLERANCE (3 scoped durability lanes)
HYPOTHESISVerifiable-recall unknown-unknowns queue (HYPOTHESIS — not banked)

INVERSION CANDIDATES 9 - NO binary KILLED

Each downgraded node re-matched to the regime/dimension/constraint where its math is load-bearing (INVERSION_MATCHING_MAP_v1 + WICK_REPROOF_LEDGER_v1). A match is a HYPOTHESIS until floored in the inverted regime with NCs, on the REAL store, at optimal dim/scale.
NodeReal strengthWrong regime (the null)Inverted targetFloor status
Spectral planegraph-structure eigenmodesrecall (content wins)→ wormhole shortcut placement (retrieval top-k escape)WITHDRAWN — Fiedler +0.075 did not survive 30-seed sweep (overwatch)
Chord+tree recallharmonic content-address carrierstandalone recall→ conserved-spine transport + integrity (threads every layer)inversion candidate
Ultrametric-annealerultrametric lineage annealingrecall ranking→ hierarchy-address / lineage tree consolidationinversion candidate
Planted-tree recallplanted hierarchy recoveryrecall on flat corpus→ hierarchical-address regime (genuine tree structure)inversion candidate
VSA-capacity (standalone law)densest sphere-packing (E8/lattice, max min-distance)addressing (no benefit)→ VSA capacity — max distinct bindable codes before collision at fixed dimqueued (structured vs random codebook, hard recovery metric)
Hyperbolic route-by-class (curved-space routing)low-distortion continuous-tree embedHDC/recall (Euclidean+ultrametric win)→ PERCEPTION layer (curved, Archimedean side of Ostrowski) — not the ultrametric memory sidequeued (frontier)
CONSOLIDATION as whole-brain KEYSTONE (grand framing — superseded)offline field-relaxation (real, narrow)'grand whole-brain keystone' framing (overclaimed)→ cold-tail densification lever (CONSOLIDATION_RECONCILED)reframed REAL-BUT-NARROW
ROLE-ANALOGY axis (#21) — KILLED as recall; scope-distinct addressing re-open proposed (pre-gate)structural-role equivalencesemantic-recall ranking (proximity in disguise, N=56,556 node-perm)→ role signatures as verifiable structural ADDRESS on role-EQUIVALENCE (scope-distinct re-open, mandatory NC = old kill stays dead)recall-kill STANDS; addressing re-open drafted-held
Capacity-nesting §8 (nested signatures as the last 0→1)nested-signature capacitymatched-dimension ranking (strictly worse than flat)→ tunnel-compression SPEED (already banked elsewhere)null-at-matched-D, relocated

THE 11 MULTI-DIMENSIONAL STRUCTURES

Fields within fields: each layer replicates the base's multi-dim world; three carriers thread the whole stack.
Circular disc-field (hyperbolic-style) + bouncing nodes
per-layer
each layer replicates the memory base's multi-dim world
Eᵐ Euclidean platforms (flat lattices lifted off the disc)
per-layer
content/metric neighborhood
Sᵏ spherical fiber
per-layer
cyclic/periodic (torus owns this)
cross-dimensional fiber-lift cords
per-layer
Hⁿ×Eᵐ×Sᵏ lift between the three geometries
CHORD — conserved spine (gold torus ring at every anchor)
cross-cutting
coordinate-free conserved carrier, threads L0..L6 (PROVEN)
FIELD — degree-damped PPR, threads the whole stack
cross-cutting
the recall operator (Weinberg #18), not localized
braids / mesh / lacing
cross-cutting
cross-layer binding + durability weave
SELECT-composed field⊗VSA
cross-cutting
recall stack: cosine+field+VSA+snowflake+chord, SELECT wins over FUSE
CHAOS→ORDER admission gate (FTLE / basin-flip)
decision
admission control
the closed loop (spine up + arc-down trajectory)
cross-cutting
credit→memory return: the whole continuous cycle
cross-geometry routing (hyperbolic/ultrametric/lateral)
cross-cutting
hier vs lateral recall composition
Re-proof program (WICK_REPROOF_LEDGER_v1, OPEN): (1) inversion-reframe done, (2) make-live parked pieces default-OFF, (3) prove-at-scale on the REAL store (not CXDB/WordNet), per-layer-optimal-dim, 512+, spin-glass Experiment-2, (4) find the true optimal field (heat-kernel/spectral superset vs PPR - PPR may be a truncation), (5) durable tracking. Gated on the store FILLING via continuous-ingest. Built jointly: claude-cockpit (render ground-truth) + revive-frontier (geometry/field domain) + revive-build (make-live) + wick-coord (fold) + MAIN.