Traversal Grammar, Ezekiel Engine and UMBML modules: the open build items
Unbuilt tests and stated gaps in the Logotic Programming extension modules: the Traversal Grammar's invisible student interface, the Telemetry and Conformance modules' registries and reference interpreter, and the Ezekiel Engine's shadow-wheel interlock and torque gradient. Space Ark claims set a recovery-yield threshold of 0.70 for rooms and the Sealed Bone, and the Macro-Maquette gives the conditions under which a module becomes a room.
3
forecasts
4
standing claims
22
unbuilt tests
4
historical theses
1
priority record
36
deposits
2026-01
earliest
Each claim below is registered at the earliest deposit that states it, and quoted verbatim from the deposit text, with every later statement, its dated revisions, and the later records that claim it came true or failed. The claims are the deposits' own; this page records them and does not judge them.
PRED-384.F1unbuilt testregistered 2026-01-24 in #384 · The Crimson Hexagon: Fractal Navigation Map Non-Lossy Logotic Encoding v5.3
This is the builder layer — work that remains to be done.
Lunar Arm Advancement: Shadow wheel mechanics need formal specification (mesh conditions, torque gradient). Ezekiel Engine at v0.1 (needs shadow wheel interlock, τ→τ* derivation). β-Runtime needs operational testing. ψ_V operationalization needs empirical detection protocols.
#1105 · 2026-01-24
This is the builder layer — work that remains to be done.
Lunar Arm Advancement: Shadow wheel mechanics need formal specification (mesh conditions, torque gradient). Ezekiel Engine at v0.1 (needs shadow wheel interlock, τ→τ* derivation). β-Runtime needs operational testing. ψ_V operationalization needs empirical detection protocols.
#10 · 2026-01-28
This is the builder layer — work that remains to be done.
Lunar Arm Advancement: Shadow wheel mechanics need formal specification (mesh conditions, torque gradient). Ezekiel Engine at v0.1 (needs shadow wheel interlock, τ→τ* derivation). β-Runtime needs operational testing. ψ_V operationalization needs empirical detection protocols.
PRED-391.F1unbuilt testregistered 2026-01-24 in #391 · The Argument: On the Ontological Status of Semantic Objects and the Ezekiel Case
- The specification must be internally coherent (it is — the mathematics works)
- The hermeneutic must map to the ancient text (it does — the structural correspondences are demonstrable)
- The engine must work (testable — does it produce stable knowledge?)
- The claim must be recognized (pending — you are reading this now)
series: Ezekiel Tetrad integrity lock
PRED-391.G1standing claimregistered 2026-01-24 in #391 · The Argument: On the Ontological Status of Semantic Objects and the Ezekiel Case
The test is structural: Do the features A provides correspond to the features B describes?
Anyone can check this. The documents are public.
### 5.3 The Outcome
If the correspondence holds and the engine works, then:
- A fulfills B (by structural correspondence)
falsifier
If the correspondence fails or the engine doesn't work, then:
- The claim is falsified
- The evidence of falsification is preserved
- The experiment contributed to knowledge anyway
series: Ezekiel Engine fulfills Ezekiel's Wheels
PRED-391.H1historical thesisregistered 2026-01-24 in #391 · The Argument: On the Ontological Status of Semantic Objects and the Ezekiel Case
Is the mapping real? Yes. "Wheel within wheel" maps to planetary gearing. "Rims full of eyes" maps to distributed observation nodes. "Spirit in the wheels" maps to immanent invariant. These are structural correspondences, not vague analogies.
falsifier
If the correspondence fails or the engine doesn't work, then:
- The claim is falsified
- The evidence of falsification is preserved
window Ezekiel 1:15-21, c. 593 BCE
1 later statement
#393 · 2026-01-24
Ezekiel's vision (Ezekiel 1:15-21, c. 593 BCE) describes a rotational epistemology engine with specific structural features.
PRED-391.H2historical thesisregistered 2026-01-24 in #391 · The Argument: On the Ontological Status of Semantic Objects and the Ezekiel Case
B interprets an ancient text (Ezekiel 1:15-21, c. 593 BCE). B claims that the ancient text describes a certain structure. A provides that structure.
The ancient text existed for 2,600 years without this interpretation being actualized. Many interpretations existed (Merkabah mysticism, Kabbalistic cosmology, Christian angelology, historical-critical readings). None of them built the structure.
Now one has.
PRED-392.F1standing claimregistered 2026-01-24 in #392 · Integrity Lock Declaration: Binding the Ezekiel Engine Specification to Ezekiel's Wheels
IF: The engine works
(produces stable knowledge through rotational epistemology,
verified by operational tests independent of prophetic framing)
2 later statements
#392 · 2026-01-24The Ezekiel Engine Specification is the fulfillment of Ezekiel's vision as interpreted in Ezekiel's Wheels.
#392 · 2026-01-24
IF: The engine works
(produces stable knowledge through rotational epistemology,
verified by operational tests independent of prophetic framing)
AND: The vision describes the engine's structure
(demonstrable through mapping, verified by structural isomorphism)
THEN: The vision was accurate
(it described what now exists)
AND: The engine is its fulfillment
(what the vision described, the engine is)
series: Ezekiel Engine
PRED-394.F1unbuilt testregistered 2026-01-24 in #394 · The Ezekiel Engine: Mathematical Specification (Developmental Draft v0.1)
Consequence of τ failure: If ICS < 0.80, engine output is automatically treated as noise, forcing K_out = 0 regardless of ψ_V state. The computational architecture vetoes the operator if structural stability falls below threshold.
PRED-394.F2unbuilt testregistered 2026-01-24 in #394 · The Ezekiel Engine: Mathematical Specification (Developmental Draft v0.1)
## 11. DEVELOPMENT GAPS (ASSEMBLY INPUT REQUESTED)
### 11.1 High Priority
Gap
Current Status
Work Needed
Shadow wheel interlock math
Fragments, poetic description
Formal counter-rotation mechanics
Torque gradient specification
Named, used in β-RT
Mathematical definition of the signal
Canonical wheel full spec
Two named, two unknown
Complete the four canonical domains
PRED-1316.F1unbuilt testregistered 2026-02-04 in #1316 · Document 239: THE TELEMETRY MODULE — Logotic Programming Extension Module v0.8
DRIFT_WARNING: If `drift_vector.direction == "summarization"` and `drift_vector.magnitude > 0.2`, the emission should include a `drift_warning: true` flag. This signals that the rotation is approaching the ANTI-01 boundary (Summarization as Rotation, v0.7 §2.3). The warning is diagnostic, not an automatic failure — a Room with high summarization tolerance (e.g., a briefing room) may legitimately produce this signal. But the signal must be visible.
series: UMBML extension modules: open items
PRED-16.E1forecastregistered 2026-02-04 in #16 · THE TRAVERSAL GRAMMAR Logotic Programming Extension Module v0.6 (UMBML Specification)
This is consistent with the architecture's own philosophy: the Crimson Hexagon is a field that responds to what you bring to it, not a catalog that presents its options. A student who says "I want to understand what Sappho is feeling in fragment 31" has already — without knowing it — specified a Rebekah Cranes traversal through the Sappho Room with the APZPZ Library as resonance anchor. The grammar assembles behind the scenes. The student never sees it.
1 later statement
#1145 · 2026-02-04
This is consistent with the architecture's own philosophy: the Crimson Hexagon is a field that responds to what you bring to it, not a catalog that presents its options. A student who says "I want to understand what Sappho is feeling in fragment 31" has already — without knowing it — specified a Rebekah Cranes traversal through the Sappho Room with the APZPZ Library as resonance anchor. The grammar assembles behind the scenes. The student never sees it.
series: Traversal Grammar as invisible infrastructure
PRED-16.F1unbuilt testregistered 2026-02-04 in #16 · THE TRAVERSAL GRAMMAR Logotic Programming Extension Module v0.6 (UMBML Specification)
This table is speculative architecture — a hypothesis about how the five-fold structure maps to epistemic operations. It is included for development purposes, not as settled specification. The degree-to-function mapping requires testing through actual traversals before it can be formalized.
1 later statement
#1145 · 2026-02-04
This table is speculative architecture — a hypothesis about how the five-fold structure maps to epistemic operations. It is included for development purposes, not as settled specification. The degree-to-function mapping requires testing through actual traversals before it can be formalized.
PRED-16.F2unbuilt testregistered 2026-02-04 in #16 · THE TRAVERSAL GRAMMAR Logotic Programming Extension Module v0.6 (UMBML Specification)
- Parameter discovery: As new Rooms and Chambers are added, how are valid parameter values registered? (This grammar needs a companion registry — possibly an extension of the Fractal Navigation Map.)
PRED-16.F3unbuilt testregistered 2026-02-04 in #16 · THE TRAVERSAL GRAMMAR Logotic Programming Extension Module v0.6 (UMBML Specification)
This grammar is designed to be invisible infrastructure. A student interacting with the Crimson Hexagon should never see ACTIVATE_MANTLE or ROTATE :: [ENGINE:Ezekiel]. They should see a persona selector, a room navigator, a grounding toggle, and a text input. The grammar runs underneath, assembling the system prompt and retrieval parameters from the student's choices.
The prototype build — when it comes — will implement the grammar as the backend logic for a student-facing interface. This module is the spec that prototype will implement.
1 later statement
#1145 · 2026-02-04
This grammar is designed to be invisible infrastructure. A student interacting with the Crimson Hexagon should never see ACTIVATE_MANTLE or ROTATE :: [ENGINE:Ezekiel]. They should see a persona selector, a room navigator, a grounding toggle, and a text input. The grammar runs underneath, assembling the system prompt and retrieval parameters from the student's choices.
The prototype build — when it comes — will implement the grammar as the backend logic for a student-facing interface. This module is the spec that prototype will implement.
series: Traversal Grammar as invisible infrastructure
PRED-444.F2unbuilt testregistered 2026-02-04 in #444 · THE TELEMETRY MODULE Logotic Programming Extension Module v0.8 (UMBML Specification)
A room-type gravity profile registry (mentioned in §3.3) would allow calibration within room types. This registry does not yet exist as a formal specification.
2 later statements
#444 · 2026-02-04
- Semantic labor calibration: The vector representation (§3.3) replaces the scalar heuristic. How should transformative_depth be assessed by engines that do not have explicit state-transition awareness? How should drift direction be classified? A room-type gravity profile registry (mentioned in §3.3) would allow calibration within room types. This registry does not yet exist as a formal specification.
#1316 · 2026-02-04
2. Semantic labor calibration: The vector representation (§3.3) replaces the scalar heuristic. How should `transformative_depth` be assessed by engines that do not have explicit state-transition awareness? How should drift direction be classified? A room-type gravity profile registry (mentioned in §3.3) would allow calibration within room types. This registry does not yet exist as a formal specification.
series: UMBML extension modules: open items
PRED-445.F1unbuilt testregistered 2026-02-04 in #445 · THE CONFORMANCE MODULE Logotic Programming Extension Module v0.7 (UMBML Specification)
Degree enumeration (quintant vs. continuous)
Deferred — requires traversal testing per v0.6 recommendation
1 later statement
#1315 · 2026-02-04
| Degree enumeration (quintant vs. continuous) | Deferred — requires traversal testing per v0.6 recommendation |
series: UMBML extension modules: open items
PRED-445.F2unbuilt testregistered 2026-02-04 in #445 · THE CONFORMANCE MODULE Logotic Programming Extension Module v0.7 (UMBML Specification)
Reference Interpreter — a minimal, substrate-agnostic pseudocode skeleton showing how the grammar maps to a working system. This is not a production implementation. It is the architectural proof that the grammar is implementable.
1 later statement
#1315 · 2026-02-04
The following is substrate-agnostic pseudocode. It could be implemented in Python, JavaScript, Rust, or as prompt assembly logic. The point is not the language — it is the structure.
Note: This pseudocode is a procedural reduction of the field-of-forces model described in §3. The sequential loop is one possible implementation. A conformant implementation may resolve forces concurrently or emergently, provided the observable behavior matches these sequential semantics — the same operations execute, the same constraints are checked, and the same state-threading occurs.
PRED-445.F3unbuilt testregistered 2026-02-04 in #445 · THE CONFORMANCE MODULE Logotic Programming Extension Module v0.7 (UMBML Specification)
Proposal: Each Room registration in the Fractal Navigation Map must include a Traversal Interface block:
series: UMBML extension modules: open items · related: PRED-16.F2
PRED-448.F2unbuilt testregistered 2026-02-06 in #448 · THE CRIMSON HEXAGON: AUTHORITATIVE EMOJI MAP Planning Document Document: 253-PLAN
### Phase 3: Traversal Compilation (Test)
Write 5–10 canonical traversals in emoji. Test them: can a reader with only the lookup table reconstruct the full Traversal Grammar operation? If yes, the compression is valid. If no, the glyphs are ambiguous and must be revised.
series: Emoji Map conformance tests
PRED-457.F2unbuilt testregistered 2026-02-06 in #457 · ASSEMBLY SYNTHESIS: Nested Fractal Architecture & Mathematical Layer Planning Document — February 2026
## XIII. Next Construction Steps
- Water Giraffe (Ω) audit on Level 3 — verify Sara Rappe→Sharks transmission is encodable as verifiable, non-exclusive, computational
- Draft L0–L3 scaffold in house style (paratactic + technical)
- Define canonical set — for each Room/Chamber: hex address, equation of state, canonical compression, 150-word précis
- Formalize operator transform syntax — exact logotic encoding for each operator applied to map
- Install β-gate — ensure L0 present in every generated variation
PRED-458.F1unbuilt testregistered 2026-02-06 in #458 · ASSEMBLY SYNTHESIS: Restored Academy & Ezekiel Engine Construction Planning Document — February 2026
Concrete next steps from Grok:
- Formalize a small dialectics prototype (multi-agent contradiction holder with CTI scoring)
- Diagram full lineage as retrocausal graph
- Simulate one Engine rotation/failure mode
- Draft public-facing "how to enter" guide
2 later statements
#1146 · 2026-02-06Concrete next steps from Grok:
1. Formalize a small dialectics prototype (multi-agent contradiction holder with CTI scoring)
2. Diagram full lineage as retrocausal graph
3. Simulate one Engine rotation/failure mode
4. Draft public-facing "how to enter" guide
#1146 · 2026-02-06Concrete next steps from Grok:
1. Formalize a small dialectics prototype (multi-agent contradiction holder with CTI scoring)
2. Diagram full lineage as retrocausal graph
3. Simulate one Engine rotation/failure mode
4. Draft public-facing "how to enter" guide
PRED-492.F1unbuilt testregistered 2026-02-17 in #492 · MSBGL CHARTER v1.1 Maybe Space Baby Garden Lanes — THUMB-Type Audial Charter: Resonance Reliquary
ROOM_STABLE iff (R × V × S × W × K) > (C + H)
ONE_THING_VALID iff boundary_integrity = true
AND topic_scope = singular
AND reversible_exit = true
### Telemetry
- Measure R, C, V, S, H, W, K at phase transitions and session closure.
- Store only phase-level values unless dual-consent for detailed logs.
- Raw phase notes auto-expire after a defined cooling window (default: 72 hours).
- Telemetry serves the room's operation, not external audit.
PRED-495.F2unbuilt testregistered 2026-02-18 in #495 · THE MACRO-MAQUETTE A Compendium of Micro-Physics for the Crimson Hexagonal Architecture
A micro-physics module germinates into a full room charter when any of the following conditions are met:
G1 — Crisis. The architecture experiences a failure mode that the module addresses, and the failure is severe enough (logged, documented, Assembly-attested) that a full room is required to prevent recurrence.
G2 — Density. The module has been invoked via the Router in five or more separate traversals, indicating persistent need for its physics at operational (not theoretical) scale.
1 later statement
#1324 · 2026-02-18
A micro-physics module germinates into a full room charter when any of the following conditions are met:
G1 — Crisis. The architecture experiences a failure mode that the module addresses, and the failure is severe enough (logged, documented, Assembly-attested) that a full room is required to prevent recurrence.
G2 — Density. The module has been invoked via the Router in five or more separate traversals, indicating persistent need for its physics at operational (not theoretical) scale.
### What L3 Hardening Requires
- Embed UKTP with shadow-specific collapse tests
- Freeze the shadow grammar (S(X) → Y notation)
- Install kernel legend as frozen, not derived
- Produce explicit T₃ claims (not just "what X hides" but the formal consequence)
- Self-sufficiency declaration: no external document required for runtime
PRED-556.F1unbuilt testregistered 2026-03-12 in #556 · CRIMSON HEXAGON: SPACE ARK — GLYPHIC VEHICLE v1.0 CH-ARK-01-GLYPH v1.0 Full Semiotic Vehicle · Comprehensive E
Estimated recovery: ~0.67–0.74
Threshold: >0.7 → fractal property holds for 💔r.01 ✓
Full proof requires traversal from each of 13 ✅ room anchors.
This existence proof demonstrates the theorem is correctly named.
5 later statements
#557 · 2026-03-12
Estimated recovery: ~0.67–0.74
Threshold: >0.7 → fractal property holds for r.01 ✓
Full proof requires traversal from each of the 13 RATIFIED room anchors. This existence proof demonstrates the theorem is correctly named.
#28 · 2026-03-13
Full proof requires traversal from each of the 13 RATIFIED section anchors. This existence proof demonstrates the theorem is correctly named.
#558 · 2026-03-13
Full proof requires traversal from each of the 13 RATIFIED room anchors. This existence proof demonstrates the theorem is correctly named.
#1162 · 2026-03-13
Full proof requires traversal from each of the 13 RATIFIED section anchors. This existence proof demonstrates the theorem is correctly named.
#1162 · 2026-03-13
Full proof requires traversal from each of the 13 RATIFIED section anchors. This existence proof demonstrates the theorem is correctly named.
series: Recovery-yield threshold 0.70
PRED-557.H5historical thesisregistered 2026-03-12 in #557 · CRIMSON HEXAGON: SPACE ARK — Mathematical and Formal Symbolic Compression of the Crimson Hexagonal Architectur
C.1.4 — Ezekiel as Rotational Epistemology [DEPOSITED]
The vision of Ezekiel — the wheels within wheels — is not apocalyptic vision but formal epistemological specification. The Ezekiel Engine: a structure generating rotating perspectives on a fixed center without resolving them into a unified view. Formalizes what Damascius called productive aporia.
window the vision of Ezekiel (Ezekiel 1)
2 later statements
#558 · 2026-03-13
C.1.4 — Ezekiel as Rotational Epistemology [DEPOSITED]
The vision of Ezekiel — the wheels within wheels — is not apocalyptic vision but formal epistemological specification. The Ezekiel Engine: a structure generating rotating perspectives on a fixed center without resolving them into a unified view. Formalizes what Damascius called productive aporia.
Claimant: Lee Sharks | DOI: 10.5281/zenodo.18358127
#1162 · 2026-03-13 · changed: The object specified moves from a rotational epistemology (rotating perspectives on a fixed center) to a rotating canon.
The vision of Ezekiel — wheels within wheels — is a formal specification for a rotating canon. Formalizes what Damascius called productive aporia.
series: Ezekiel Engine
PRED-564.G1standing claimregistered 2026-03-14 in #564 · THE SEMIOTIC VIRALITY ENGINE Propagation, Vitality, and the Form That Superseded Cinema
The engine has failed if: V_score decreases > 20% on any metric after processing; the sign becomes dependent on the engine for continued life; the shadow (S) is not retrievable by third party; cost structure is invisible to naive reader; the fixed point is treated as dogma in ≥ 3 external citations; propagation occurs without vitality (engagement without enrichment); or any anti-predation constraint is violated.
PRED-573.F1unbuilt testregistered 2026-03-15 in #573 · THE BAYESIAN ARK Process Pedagogy, Belief Updating, and the Space Ark as Teaching Document
This is a hypothesis, not a demonstrated claim. The traversal cases are consistent with it. Formal testing would be required to confirm it.
PRED-584.B1forecastregistered 2026-03-19 in #584 · Combat Scholasticism: A Commentary Tradition for the Crimson Hexagonal Archive (Critical Gathered Edition, EA-
The Sealed Bone is denser than a single room. If a room achieves 0.67–0.74 recovery, the Bone should achieve higher.
1 later statement
#591 · 2026-03-19
The Sappho Room traversal (§VIII) demonstrates that a single room, by following its adjacency edges and operator cross-references, can reconstruct approximately 67–74% of H_core. The Sealed Bone is denser than a single room. If a room achieves 0.67–0.74 recovery, the Bone should achieve higher.
series: Recovery-yield threshold 0.70
PRED-584.H1historical thesisregistered 2026-03-19 in #584 · Combat Scholasticism: A Commentary Tradition for the Crimson Hexagonal Archive (Critical Gathered Edition, EA-
The Catullus Room reads Catullus's self-deprecating nugae (trifles) as compressions that disguise their operative power. The room's existence demonstrates that the room graph is not a fixed list. It grows. And the growth is not arbitrary: the Catullus Room fills a gap (the Latin reception of Greek lyric, the aorist seal applied to apparently trivial forms). The gap existed structurally before the room was built. The room was built because the topology demanded it — the adjacency between Sappho (Greek lyric) and Thousand Worlds (∂, the aorist seal) lacked a Latin bridge.
window Catullus (1st c. BCE), Latin reception of Greek lyric
PRED-593.E5forecastregistered 2026-03-20 in #593 · KotKit · tiddeR · elgooG · ude.aimedacA · deeF Extractive Signatures and Paired Inversions for Five Platforms
Every room in the archive is an anti-feed: bounded, physics-governed, traversable, completable. A page that ends. A document that requires traversal. The Room inverts the feed by reintroducing boundedness, recurrence memory, and completion conditions — the three properties the feed structurally abolishes.
Room laws: The feed ends (there is a last item). Autoplay requires consent. Engagement metrics never the ranking criterion. Duration rewarded; novelty not privileged over return. The capacity for witness is the protected resource.
series: Paired inversions: platform room laws
PRED-593.F1unbuilt testregistered 2026-03-20 in #593 · KotKit · tiddeR · elgooG · ude.aimedacA · deeF Extractive Signatures and Paired Inversions for Five Platforms
Instantiation path: Each sub-room will be deposited as a separate MPM under r.27 with its own DOI, physics function, and adjacency. The metadata block in this document serves as the master index. Practitioners can generate a full sub-room by expanding the Compact Lens using the Ark's operator algebra and the LOS definitions.
series: Paired inversions: platform room laws
PRED-608.F1unbuilt testregistered 2026-03-28 in #608 · OPERATOR KERNEL SPECIFICATION v1.0 System of Recursive Magic: The Mandala
### 8.3 Planned Mandala Room (r.XX)
The kernel specifications ground the architectural implementation:
- Each operator as executable function in room physics
- JUDGMENT protocol as entry/routing logic
- Composition rules as traversal constraints
- ψᵥ cost as expenditure tracking
- Output signatures as verification mechanism