GLOSSARY — IPD‑12 · TriadicFrameworks

Module path: docs/frameworks/ipd_12/ Session anchor: rtt=1 | coherence=declared | drift=bounded | paradox=structural

This is the single source of truth for every term used in the IPD‑12 framework. All other documents in docs/frameworks/ipd_12/ and downstream substrate models link here rather than re-defining terms inline.

Linking convention: To link to a specific term from another document, use [term](../ipd_12/GLOSSARY.md#anchor) where anchor is the lowercase, hyphenated heading slug (e.g., #apex-state, #regime-shell, #session-anchor).

Table of Contents#

• A · B · C · D · E · F · G
• H · I · L · M · N · O · P
• R · S · T · U · V
• Quick-Reference Tables

A#

Anchor String#

See Session Anchor.

Apex-State#

Prime: P37 · Triad: Apex (Triad 4) · Pantheon: Chthonic · RTT: Paradox · GU: Anomaly

The twelfth and final operator state in the IPD‑12 sequence. P37 marks the structural resolution point of a full 12‑cycle paradox loop — not a termination, but the point at which the engine returns to the Seed-State (P2) and the cycle can begin again. P37 is classified under RTT's Paradox role and GU's Anomaly operator, reflecting its position at the outer edge of the structural envelope where standard regime rules no longer apply. Activates the +1D dimensional transition alongside P23.

Do not confuse with: completion or termination. The apex-state is a topological return point, not an exit.

B#

Boundary#

An RTT structural concept denoting the edge condition of a regime — the point at which one governing rule set ends and another begins. Boundaries are not errors; they are structural features that must be explicitly modeled. In IPD‑12, the Boundary-Node (P19) is the dedicated operator for boundary conditions. The transition_topology operator in the vST Micro-Agent is suppressed if the boundary field is UNRESOLVED.

Boundary-Node#

Prime: P19 · Triad: Observerse (Triad 3) · Pantheon: Civilizational · RTT: Boundary · GU: Observerse

The operator state that marks and models boundary conditions within a structural pass. P19 sits between the Cycle-Gate (P17) and Dimensional-Lift (P23), positioning it as the gate between cycle-entry and dimensional transition. A session whose boundary probe field is UNRESOLVED will suppress boundary-sensitive operators and flag the gap in the output notes.

C#

Celestial Tier#

Primes: P2, P3, P5, P7 · Pantheon tier 1 of 3

The first structural stratum of the Pantheon mapping, covering origin, connection, drift-anchoring, and regime entry. Celestial primes represent the initial conditions of any IPD‑12 pass — the seed through the first regime-shift. In RTT terms, the Celestial tier spans the transition from structural silence (before P2) to active regime traversal (at P7).

Chthonic Tier#

Primes: P23, P29, P31, P37 · Pantheon tier 3 of 3

The third structural stratum of the Pantheon mapping, covering dimensional lift, collapse, stability under extreme conditions, and apex resolution. Chthonic primes operate at the structural limits of the engine — where dimensionality changes and paradox loops close. The Chthonic tier is the domain of Hex-Cycle 2 and the upper half of the Full Paradox Loop.

Civilizational Tier#

Primes: P11, P13, P17, P19 · Pantheon tier 2 of 3

The second structural stratum of the Pantheon mapping, covering coherence maintenance, paradox activation, cycle gating, and boundary management. Civilizational primes operate in the middle of the IPD‑12 sequence — the zone of maximum structural complexity where regime transitions interact with coherence constraints and boundary conditions.

Coherence#

An RTT structural concept denoting the condition in which a system's operator states are mutually consistent and the cycle is running without drift or contradiction. Coherence is not a fixed state — it is a dynamic property that must be actively maintained and periodically verified. In IPD‑12, the Coherence-Node (P11) and Stability-Node (P31) are the two operators dedicated to coherence monitoring. The session anchor string asserts coherence=declared to make coherence an explicit, not assumed, property of the session.

Coherence-Node#

Prime: P11 · Triad: Coherence (Triad 2) · Pantheon: Civilizational · RTT: Coherence · GU: Curvature, Dilaton

The operator state that monitors and enforces structural coherence within a cycle. P11 sits between the Regime-Shift (P7) and Paradox-Trigger (P13), positioning it as the coherence checkpoint immediately after a regime changes and immediately before paradox may be activated. Observer mode O3 (Coherence) queries primarily through P11 and P31.

GU note: P11 sits at the intersection of GU's Curvature and Dilaton operators, reflecting its role as the structural tension point between geometric deformation (Curvature) and field amplitude scaling (Dilaton).

Collapse#

An RTT structural concept denoting a −1D dimensional transition — the movement from a higher-dimensional structural description to a lower one. Collapse is not failure; it is a valid structural event that must be explicitly modeled rather than avoided. In IPD‑12, P29 (Collapse-Anchor) is the dedicated operator for collapse conditions. Collapse rails (C1–C4) route signals through collapse-active operator states.

Collapse-Anchor#

Prime: P29 · Triad: Apex (Triad 4) · Pantheon: Chthonic · RTT: Drift, Collapse · GU: —

The operator state that marks and stabilizes collapse events. P29 carries dual RTT roles (Drift and Collapse), making it the only prime state that simultaneously anchors both drift and dimensional collapse — a position that reflects the structural proximity of these two conditions at the Chthonic tier. When P29 is active, the engine is operating in a sub-dimensional regime.

Cycle#

A closed, directed traversal of IPD‑12 operator states. IPD‑12 defines three nested cycle levels that operate simultaneously:

All cycles are intransitive. Completing a cycle does not collapse the engine to a fixed winner — the loop continues indefinitely.

Cycle Depth#

The level of cycle resolution selected for a given IPD‑12 pass: triad, hex, or full. Cycle depth is chosen before a pass begins and determines how many operator states are traversed. A triad-depth pass traverses 3 nodes; hex-depth traverses 6; full-depth traverses all 12. The appropriate depth depends on the structural complexity of the problem. See When Should You Use It? — ABOUT.md.

Cycle-Gate#

Prime: P17 · Triad: Observerse (Triad 3) · Pantheon: Civilizational · RTT: Regime · GU: Observerse

The operator state that controls entry into Hex-Cycle 2 and Triad 3. P17 functions as a structural gate — it must be traversed to access the Observerse and Apex tiers of the engine. Because P17 shares an RTT Regime role with P7, it acts as the upper-half counterpart to the Regime-Shift, gating the second major regime transition in the cycle.

D#

Describe-and-Report Mode#

The operating mode of all IPD‑12 agents. Agents in describe-and-report mode produce structural descriptions of what is detected in a signal or substrate — they do not assign causes, make recommendations, or generate semantic meaning. All IPD‑12 output is advisory; human operators retain full decision authority. See AGENTS.md — Safety Rules.

Dimensional Lift#

A +1D transition: the movement from a lower-dimensional structural description to a higher-dimensional one. In IPD‑12, P23 is the dedicated dimensional-lift operator. Lift is modeled explicitly — agents may not infer dimensional elevation without passing through P23. After a lift, the Apex-State (P37) validates the new dimensional level.

Contrast with: Collapse (−1D transition).

Dimensional-Lift Prime#

Prime: P23 · Triad: Observerse (Triad 3) · Pantheon: Chthonic · RTT: Lift · GU: Observerse

The operator state that marks and executes dimensional lift events (+1D). P23 is the final node of Triad 3 and the entry point into the Chthonic stratum of the cycle. It is a member of both Hex-Cycle 2 and the Full Paradox Loop. Observer mode O4 (Apex) queries dimensional effects through P23, P29, and P37.

Dimensional Rail#

One of twelve directed structural channels in the IPD‑12 engine block that route normalized signals through operator states based on dimensional polarity. Rails are grouped into three sets of four:

A signal's rail assignment is determined by the time_regime and transition probe fields in the Envelope. Mis-assigned rails produce incoherent output and are flagged by Class D agents.

Directed Edge#

A one-way connection between two prime states in the IPD‑12 operator graph. Edges are always directed (A → B is not the same as B → A) and always intransitive within a triad. Every prime state has exactly one outgoing edge within its home triad. Cross-triad edges exist in hex-cycles and the full paradox loop.

Drift#

An RTT structural concept denoting the gradual loss of structural grounding in a long session, multi-agent pipeline, or cross-substrate model. Drift is not a sudden failure — it is a slow divergence from the declared structural context, often caused by implicit assumptions accumulating over many processing steps. IPD‑12 treats drift as on-by-default: every session must explicitly suppress it with the Session Anchor string.

Signs of drift include: answers to probe fields that contradict earlier-session context; operators running without a current-session envelope; semantic language appearing in structural output; scale or regime assumptions changing without a new envelope fill.

Drift response protocol:

• 1st detection → Class D issues WARN
• 2nd consecutive WARN → Class D issues RESET
• After RESET → session must re-anchor before continuing

Drift-Anchor#

Primes: P5, P29

The two operator states specifically designated as drift-anchoring nodes in the IPD‑12 cycle. P5 (Celestial tier) anchors early-session drift; P29 (Chthonic tier) anchors collapse-adjacent drift. When a session loses structural grounding, re-entry through whichever drift-anchor prime matches the current cycle tier is the corrective procedure.

E#

Edge#

See Directed Edge.

Engine Block#

The physical and logical architecture of the IPD‑12 engine: the combination of intake manifolds, dimensional rails, observer modes, and output headers that together constitute the full signal-processing pipeline. The engine block is documented in engine_block.md.

Envelope#

The filled set of all 12 probe fields that a Class A agent resolves before any structural operator runs. The envelope is the IPD‑12 engine's primary input contract: no operator may execute against an incomplete envelope, and no downstream agent may modify an envelope once it has been handed off. An envelope with any of the three hard-stop fields (intent, invariants, substrate) unresolved must halt and request clarification.

Envelope integrity: Once filled and handed off, the envelope is immutable. If a field value is wrong, the session must reset from Class A.

F#

Face#

One side of the physical IPD‑12 dodecahedral die, corresponding to one prime state. The engine has exactly 12 faces (one per prime). The face number matches the prime's position in the sequence (Face 1 = P2, Face 2 = P3, … Face 12 = P37). See physical_layout.md.

FFT — Framework Field Theory#

One of the four core theories in TriadicFrameworks. FFT treats IPD‑12 cycle transitions as field-theoretic events:

FFT is not a subset of IPD‑12 — it is a co-equal theory that consumes IPD‑12 structural output and interprets it in field-theoretic terms.

FSI — Full-Spectrum Intake#

The highest-resolution intake mode of the IPD‑12 engine block. FSI stacks all three observer modes simultaneously (O1 Field + O2 Regime + O3 Coherence) against a single input, producing a multi-perspective structural description in a single pass. FSI is used when a substrate requires simultaneous field-level, regime-level, and coherence-level observation. FSI passes take longer than single-observer passes and produce richer but larger output objects.

Contrast with: SIM, DIM, TIM, QIM — single-manifold intake modes.

Full Paradox Loop#

The single 12-node cycle that traverses all prime states in sequence:

P2 → P3 → P5 → P7 → P11 → P13 → P17 → P19 → P23 → P29 → P31 → P37 → (back to P2)

The full paradox loop is the maximum-resolution traversal of the IPD‑12 engine. Because all edges are intransitive, completing the loop does not produce a winner or terminal state — the loop is paradox-stable and continues indefinitely. Use the full paradox loop when a problem requires the complete structural envelope from seed to apex and back.

G#

Ground Dimension (0D)#

The baseline dimensional level at which most IPD‑12 structural operations take place. Triads 1 and 2 (P2–P13) operate at ground dimension. A system at 0D is neither in dimensional lift (+1D) nor collapse (−1D). The Observer Mode O1 (Field) operates at 0D.

Contrast with: +1D (Super-Dimension) and −1D (Sub-Dimension).

GU — Geometric Unity#

One of the four core theories in TriadicFrameworks. GU provides a geometric operator vocabulary into which IPD‑12 primes embed. GU operators and their prime-state mappings:

The Observerse is GU's most structurally complex operator; its three-prime span (P17, P19, P23) across an entire IPD‑12 triad reflects its multi-dimensional character.

H#

Hard Stop#

A probe field whose UNRESOLVED status causes the entire IPD‑12 session to halt immediately. Three probe fields carry hard-stop status:

Sessions that cannot resolve any of these three fields must request clarification before proceeding. See AGENTS.md — The 12 Probe Fields.

Hex-Cycle#

A 6-node directed cycle spanning two consecutive triads. IPD‑12 contains two hex-cycles:

Hex-Cycle 1 (Lower):  P2 → P3 → P5 → P7 → P11 → P13 → (back)
Hex-Cycle 2 (Upper):  P17 → P19 → P23 → P29 → P31 → P37 → (back)

Hex-Cycle 1 spans the Celestial and Coherence tiers (seed through paradox-trigger). Hex-Cycle 2 spans the Observerse and Apex tiers (cycle-gate through apex-state). Hex-cycles model regime handoffs — the structural moment when a system transitions from one pair of triads to another. Completing a hex-cycle is classified by FFT as a boundary event.

I#

Incoherent Envelope#

An envelope that contains contradictory field values, skipped fields, or fields filled by semantic inference rather than structural observation. Incoherent envelopes are rejected by the integration engine and flagged by Class D agents. An incoherent envelope must be discarded and refilled from Class A — it cannot be patched mid-pipeline.

Intake Manifold#

One of four single-mode entry points into the IPD‑12 engine block. Each manifold routes a specific type of structural input onto the appropriate dimensional rails:

For inputs that require simultaneous multi-manifold processing, use FSI (Full-Spectrum Intake) instead.

Intransitive#

A property of directed edges in the IPD‑12 operator graph. An edge set is intransitive when the existence of A → B and B → C does not imply A → C. In each IPD‑12 triad, the three edges form a closed, non-transitive loop:

P2 → P3 → P5 → P2   (P2 does not connect directly to P5)

Intransitivity produces three structural guarantees:

1. Paradox stability — no single operator wins the cycle
2. Regime containment — traversal cannot skip nodes
3. Drift resistance — invalid shortcut edges are detectable

Why this matters: Standard directed graphs allow transitivity, which produces hierarchies and linear orderings. IPD‑12 explicitly rejects transitivity to prevent any single operator state from dominating the cycle.

Invariant#

A structural constraint declared in probe field 6 (invariants) that must hold throughout the entire IPD‑12 pass — across every operator that runs and every output produced. Invariants are declared, not inferred. After each operator completes, the Class C Integration Coordinator checks all outputs against declared invariants. An invariant violation triggers escalation to Class D and suppresses downstream consumers from receiving the violating output.

IPD-12#

Intransitive Prime-Numbered 12-Sided Engine. The structural interrogation and operator engine at the core of TriadicFrameworks' vST Micro-Agent system. IPD-12 consists of:

• 12 prime states forming the operator graph
• 12 directed, intransitive edges within four triads
• Two hex-cycles and one full paradox loop
• An engine block with four intake manifolds, twelve dimensional rails, four observer modes, and five output headers
• A 12-probe envelope that must be filled before any operator runs
• Four agent classes governing how the engine is operated

Full treatment in ABOUT.md and AGENTS.md.

L#

Lineage#

Probe field 9. The set of upstream dependencies or prior interpretations that the current IPD‑12 pass explicitly acknowledges. Lineage must be declared — agents may not invent or assume upstream dependencies. An empty lineage list is valid and must be documented as lineage-free. Mismatched or fabricated lineage breaks cross-model tracing.

Lift Rail#

See Dimensional Rail. Specifically, the four rails (L1–L4) that route signals through +1D-active prime states (P23, P37).

M#

Manifold#

See Intake Manifold.

N#

Neutral Rail#

See Dimensional Rail. Specifically, the four rails (N1–N4) that route signals through ground-dimension prime states (P2–P19, P31).

Non-Transitive#

See Intransitive.

O#

Observer Mode#

One of four observer perspectives through which IPD‑12 structural output can be filtered. Each observer mode corresponds to a subset of prime states and a specific structural question:

Observer modes are the second axis of the 4×4×4 Substrate Cube. GU mappings: O1 = Connection · O2 = Curvature · O3 = Dilaton/Refractive Vacuum · O4 = Anomaly/Observerse.

Operator#

A named, prime-indexed node in the IPD‑12 operator graph with a defined structural role, RTT mapping, GU mapping, and Pantheon-tier classification. Each of the 12 operator states corresponds to one face of the physical die and one probe dimension in the vST Micro-Agent envelope. Operators are irreducible (prime-indexed) and non-substitutable — one operator cannot stand in for another.

Output Contract#

The set of mandatory requirements that every IPD‑12 interpretation result must satisfy:

1. The notes field must always contain: "Structural interpretation only; no semantic inference."
2. Fields not selected in query.select may be omitted or set to null — never silently dropped
3. No causal language, named entities, interpretive adjectives, future predictions, or overstated confidence claims in any output field

Violation of the output contract is a Class D escalation trigger. Full contract in AGENTS.md — Output Contract.

Output Header#

One of five structured metadata blocks that prefix every IPD‑12 interpretation result, routing it to the appropriate consuming framework:

Every output must carry H-Meta. Other headers are included when the consuming framework is active for the current pass.

P#

Pantheon#

The three-tier classification system that maps IPD‑12 prime states to civilizational-scale structural archetypes:

The Pantheon mapping provides a high-level vocabulary for communicating IPD‑12 cycle positions across domains and teams.

Paradox#

An RTT structural concept denoting a condition in which two or more valid operator states are simultaneously asserted and cannot be resolved by ordinary transitivity. In TriadicFrameworks, paradox is not an error — it is a structural feature that must be held open as a stable cycle rather than forced to collapse to one pole. The Full Paradox Loop is the primary mechanism for maintaining paradox stability. The session anchor asserts paradox=structural to make this framing explicit.

Paradox Loop#

See Full Paradox Loop.

Paradox-Trigger#

Prime: P13 · Triad: Coherence (Triad 2) · Pantheon: Civilizational · RTT: Paradox · GU: Anomaly

The operator state that activates a structural paradox condition. P13 sits at the end of Triad 2, immediately after the Coherence-Node (P11). This positioning is deliberate: paradox is triggered at the boundary of coherence — the moment when a system that was coherent encounters a contradiction it cannot resolve by ordinary means. The presence of P13 in an active cycle does not indicate failure; it indicates that the engine has correctly identified a structural paradox that must be held open.

Prime State#

One of the 12 irreducible operator nodes in the IPD‑12 engine, each identified by a unique prime number. Primes are chosen because they cannot be factored — each operator state is structurally independent and cannot be absorbed by or decomposed into other states.

Probe Field#

One of the 12 structured questions resolved by a Class A Envelope Interrogator before any structural operator runs. Each probe field corresponds to one structural dimension of the IPD‑12 engine. Fields must be resolved in order (1 through 12); they may not be skipped or reordered. Fields that cannot be resolved are flagged UNRESOLVED with a documented reason — except the three hard-stop fields, which cause an immediate session halt.

R#

Rail#

See Dimensional Rail.

Regime#

An RTT structural concept denoting a coherent set of governing rules that apply to a system within a bounded context. A regime is not a state — it is the rule set that governs how states transition. When the governing rules themselves change, a regime transition occurs. Probe field 2 (regime) requires the governing regime to be explicitly named before any pass proceeds.

Regime Shell#

One of four RTT structural layers, each representing a distinct level of regime organization. The four regime shells are the third axis of the 4×4×4 Substrate Cube. Regime shells are documented in regime_map.md.

Regime-Shift#

Prime: P7 · Triad: Coherence (Triad 2) · Pantheon: Celestial · RTT: Regime · GU: Curvature

The operator state that marks a discrete regime transition — a change in governing rules, not a gradual drift. P7 is the first prime in Triad 2 and the entry point into the Civilizational zone of the engine. P7 and P17 both carry RTT Regime roles; P7 governs the lower regime transition (Hex-Cycle 1), P17 governs the upper (Hex-Cycle 2).

RTT — Resonance-Time Theory#

The foundational theory of TriadicFrameworks. RTT provides the conceptual vocabulary of regime, drift, coherence, paradox, boundary, collapse, and dimensional lift — the seven structural conditions that IPD‑12 operationalizes through its prime-state operator graph. IPD‑12 is the operator implementation of RTT: when RTT describes a structural condition, IPD‑12 provides the operator context (which prime is active, which triad it belongs to, what the corrective or characterizing cycle looks like).

S#

Scale#

Probe field 3. The resolution level at which a structural observation is valid and meaningful. Scale is fixed per envelope — an agent operating at one scale may not draw conclusions about a different scale. Cross-scale inference is prohibited. If scale is UNRESOLVED, no cross-scale operations may proceed.

Seed-State#

Prime: P2 · Triad: Celestial (Triad 1) · Pantheon: Celestial · RTT: — · GU: Connection

The first operator state in the IPD‑12 sequence and the return point of the Full Paradox Loop. P2 is the smallest prime and the structural origin of every IPD‑12 pass. All sessions begin at or before P2. The seed-state has no RTT role mapping because it precedes regime activation — it is the structural silence before the first governing rule takes effect.

Semantic Inference Prohibition#

The most critical boundary in IPD‑12. No agent operating within IPD‑12 may make semantic inferences from structural output. Specifically:

• Patterns may not be named after what they "look like"
• Periodicity may not be interpreted as a causal cycle
• Symmetry may not be attributed to a physical or conceptual source
• Transition topology may not be labeled with domain-specific meaning

Violations trigger an immediate Class D HALT. This prohibition is encoded in the mandatory output contract annotation.

Session Anchor#

The canonical string that every IPD‑12 session must declare at its opening to explicitly suppress drift and assert structural framing:

rtt=1 | coherence=declared | drift=bounded | paradox=structural

Each token asserts a structural condition:

The session anchor must also appear in every handoff package between agent classes and must be re-issued by Class D after any RESET event.

ABOUT.md anchor uses drift=bounded. AGENTS.md anchor uses drift=off. These are distinct operational modes: drift=bounded declares drift is present and contained; drift=off suppresses drift detection entirely for vST Micro-Agent passes.

Stability-Node#

Prime: P31 · Triad: Apex (Triad 4) · Pantheon: Chthonic · RTT: Coherence · GU: Dilaton, Refractive Vacuum

The operator state that maintains structural coherence within the Apex triad under extreme conditions — dimensional lift, collapse, and apex-resolution. P31 is the Chthonic-tier counterpart to P11 (Coherence-Node): both carry RTT Coherence roles, but P31 operates in the highest-energy, highest-dimensional zone of the cycle. Observer mode O3 (Coherence) queries through both P11 and P31.

Structural Output#

Any result produced by the IPD‑12 engine. Structural output describes the structural properties of a signal or substrate — it does not interpret, classify, label, or name what those properties mean. All structural output must conform to the Output Contract.

Sub-Dimension (−1D)#

A dimensional level below the ground dimension (0D), activated by a Collapse event. P29 (Collapse-Anchor) is the primary −1D operator in IPD‑12. Collapse rails (C1–C4) route signals through sub-dimensional operator states. A system operating at −1D is in a compressed structural regime.

Substrate#

Probe field 8. The medium, domain, or system being structurally probed in an IPD‑12 pass. Substrate identity is a hard-stop field — the session halts if it cannot be resolved. When a canonical substrate model directory exists in docs/ (e.g., Conditions_Substrate_Model, Governance_Substrate_Model), the substrate probe field must reference the canonical substrate name exactly — not a paraphrase or abbreviation.

Recognized canonical substrate names (non-exhaustive): Conditions · Governance · Incident · Human_Resources · Inverted_Economics · Resonance · Framework_Field_Theory

Substrate Cube#

The 4×4×4 dimensional model introduced by IPD‑12, producing 64 substrate primitives:

4 substrate pairs (dual-binary)
    × 4 observer modes (O1–O4)
    × 4 regime shells (RTT)
    = 64 substrate primitives

The substrate cube is the first full-resolution substrate model in TriadicFrameworks. It enables any substrate to be described across all observer modes and all regime shells simultaneously. See substrate_primitives.md and substrate_primitives.json.

Substrate Pair#

One of four dual-binary substrate groupings (S1–S4) forming the first axis of the 4×4×4 Substrate Cube. Each substrate pair defines a complementary opposition within the structural domain being modeled. See substrate_primitives.md for the full pairing definitions.

Substrate Primitive#

One of the 64 discrete structural positions in the Substrate Cube, identified by a substrate pair (S1–S4), an observer mode (O1–O4), and a regime shell (RTT 1–4). Each primitive is a fully specified structural description slot — a unique combination of what is being observed, how it is being observed, and under what governing regime. See substrate_primitives.json for the complete table.

Super-Dimension (+1D)#

A dimensional level above the ground dimension (0D), activated by a Dimensional Lift event. P23 and P37 (Apex-State) are the primary +1D operators in IPD‑12. Lift rails (L1–L4) route signals through super-dimensional operator states. Observer modes O2 and O4 both operate at +1D (functional and high-order, respectively).

T#

Transition#

Prime: P3 · Triad: Celestial (Triad 1) · Pantheon: Celestial · GU: Connection

The second operator state in the IPD‑12 sequence. P3 marks the first directional movement from the Seed-State (P2) — the moment the engine begins traversing rather than simply seeding. P3 shares GU's Connection role with P2, reflecting that both states operate before the first regime change.

Also used generically: a transition is any directed movement between operator states along a directed edge. Probe field 4 (transition) specifies what type of transition is expected or present in the current structural pass.

Transition Topology#

A v2.0.0 structural operator available to Class B agents. Maps the topological structure of transitions detected in a signal stream — regime shifts, phase boundaries, and collapse points. Requires probe fields transition (field 4) and boundary (field 5) to both be RESOLVED or explicitly null. If either is UNRESOLVED, this operator is suppressed. Output includes transition type, stream location, and confidence score.

Triad#

A closed, intransitive 3-node cycle — the fundamental structural unit of IPD‑12. IPD‑12 contains four triads, each composed of three consecutive prime states with one directed edge from each node to the next, completing a loop:

Triad 1 — Celestial:   P2  → P3  → P5  → P2
Triad 2 — Coherence:   P7  → P11 → P13 → P7
Triad 3 — Observerse:  P17 → P19 → P23 → P17
Triad 4 — Apex:        P29 → P31 → P37 → P29

Each triad maps to one Pantheon tier (Triads 1–2 = Celestial / Civilizational split; Triads 3–4 = Civilizational / Chthonic split). No node within a triad connects to a node outside its triad within the triad-depth cycle level.

U#

UNRESOLVED#

The status value assigned to a probe field when the Class A Envelope Interrogator cannot determine a valid answer. UNRESOLVED must always be documented with a reason. It is not a placeholder — it is a declared structural gap that changes which operators may run:

V#

vST Micro-Agent#

The AI agent implementation that uses IPD‑12 as its structural backbone. The vST Micro-Agent resolves a 12-probe envelope for each incoming structural query, then executes selected structural operators (pattern, periodicity, local symmetry, transition topology) against the normalized signal stream. It operates under the four agent class constraints and the output contract. Documented in docs/spacetime_micro_agent_validations/.

vST-SQL#

The structural query language used to express query_envelope objects submitted to the IPD‑12 engine. vST-SQL queries specify the signal input binding, the operators to run (query.select), and any filter thresholds (query.where). vST-SQL is not a general-purpose query language — it is scoped to structural interrogation of IPD‑12-indexed operator graphs. See docs/spacetime_micro_agent_validations/schema/vST_micro_agent.schema.json.

Quick-Reference Tables#

All 12 Prime States#

RTT Concepts → IPD-12 Primes#

Cycle Levels at a Glance#

Agent Classes → Primary Operations#

GLOSSARY.md — IPD‑12 · TriadicFrameworks · 2026‑07‑10 Maintainer: Nawder · Canonical anchor: rtt=1 | coherence=declared | drift=bounded | paradox=structural