GLOSSARY — RTT/12 · Harmonic Synthesis Layer

TriadicFrameworks · Core RTT · Terminal Module Module path: docs/rtt/12/ Session seed: rtt=1 | coherence=declared | drift=bounded | paradox=structural

This is the single source of truth for every term native to RTT/12. All other documents in docs/rtt/12/ and all modules that reference RTT/12 vocabulary link here rather than re-defining terms inline.

RTT/12 inherits the complete vocabularies of RTT/1, RTT/2, and RTT/3. Terms defined in ../1/GLOSSARY.md, ../2/GLOSSARY.md, and ../3/GLOSSARY.md — including SNR, τ, C, DCO_n, Regime, Mode, MCL, Drift, CPV, FGT, CRM, D(t), Detection Zone, RTT2_DETECTION_PACKET, TIF, FFF, MANIFOLD, CRE, CSL, CET, CR(t), and RTT3_INTEGRATION_EMISSION_PACKET — are not repeated here. They apply in full. Entries below are RTT/12-native or RTT/12-specific refinements of inherited terms.

Critical framing — enforced in every definition: RTT/12 is a structural harmonic synthesis framework. It is NOT a physics claim, NOT a signal-processing system, NOT an energy model, and NOT an engineering tool. No definition here describes a physical mechanism or makes an empirical prediction. Sector labels (RTT-12/E, /C, /M) are structural overlays, not physics derivations.

Linking convention: Use [term](./GLOSSARY.md#anchor) where anchor is the lowercase hyphenated heading slug (e.g., #harmonic-dimensional-ladder, #g-load-flow-triad-resolver, #zone-x--overflow).

Table of Contents#

• C · D · G · H · L · M
• O · P · Q · R · S · T
• U · V · X · Z
• Operator Symbols
• Quick-Reference Tables

C#

Class G — Guardian#

RTT/12 agent class 7 of 7 · See AGENTS.md

The agent class with unconditional interrupt authority over all other RTT/12 classes. Class G enforces every hard constraint: RTT-not-physics rule, Mode 5 prohibition, Zone X prohibition, TCR requirement, CRE ≠ CRM boundary, and mandatory annotation on every output field. No other class may override or delay a Class G interrupt. Class G issues HARD_STOP — not WARN or RESET as in upstream modules — reflecting the terminal position of RTT/12; there is no downstream RTT module to absorb a deferred failure.

Class H — Harmonic Ladder Mapper#

RTT/12 agent class 1 of 7 · See AGENTS.md

The agent class that applies the Gear-Shift Operator G₁ to map structural dimensions 3D–9D onto harmonic values {12, 24, 36, 48, 60, 72, 84}. Class H is always first in the RTT/12 pipeline and performs the hard- prerequisite check for the RTT3_INTEGRATION_EMISSION_PACKET before any harmonic mapping begins. Class H must never map 0D–2D (unmapped quantum root triad) or produce values outside the canonical ladder.

Class L — Load-Flow Triad Resolver#

RTT/12 agent class 3 of 7 · See AGENTS.md

The agent class that applies the Load-Flow Triad Resolver G₃ to decompose any RTT or RTT/12 system state X into its triadic components (X_G, X_S, X_L) with a mandatory conservation check. Class L must always produce all three components — partial triads are rejected. Class L must never interpret X_G, X_S, X_L as physical generation, storage, or load quantities.

Class P — Phase-Shift Modulator#

RTT/12 agent class 2 of 7 · See AGENTS.md

The agent class that applies the Phase-Shift Modulator G₂ to perform controlled phase transformations on harmonic states produced by Class H. Class P may only operate after Class H has established valid H_n values. G₂ modulates phase without altering magnitude — Class P must not change H_n magnitudes and must confirm magnitude preservation in every output.

Class S — Harmonic Stability Assessor#

RTT/12 agent class 5 of 7 · See AGENTS.md

The agent class that assesses whether the current harmonic state satisfies the Harmonic Stability Principle (HSP). Class S evaluates proportionality of (X_G, X_S, X_L) components across both structural and harmonic layers and issues a stability status of STABLE, MARGINAL, or UNSTABLE. Class S must log every harmonic drift event and must never issue STABLE status when Class T has flagged an active TCR violation.

Class T — Triadic Coherence Enforcer#

RTT/12 agent class 4 of 7 · See AGENTS.md

The agent class that enforces the Triadic Coherence Rule (TCR) across all RTT/12 states and outputs. Class T runs as a mandatory validator on every output before packet emission — it is a checkpoint, not an optional step. Class T rejects orphan states, flags cross-triad leakage, and escalates unresolvable violations to Class G.

Class V — Validation Pathway Agent#

RTT/12 agent class 6 of 7 · See AGENTS.md

The agent class that manages progression through the six validation milestones (V1–V6). Class V advances milestone status only when all criteria for the current milestone are met. It must not skip milestones, fabricate sector-specific evidence for V3, or interpret milestones as regulatory compliance or academic certification. Class V invokes Class T (coherence) and Class S (stability) during V2 and V3.

Conservation Check#

The mandatory arithmetic verification applied by Class L to every G₃ triad decomposition:

X_G + X_S + X_L = X

Where X is the input system state and (X_G, X_S, X_L) are the three triadic components. A conservation check failure means the triad decomposition is structurally invalid — Class L must reject the output and re-compute. A packet with conservation_valid: false may not be routed downstream.

Conservation is a structural accounting principle — not a physical energy conservation law. It ensures that no structural content is created or destroyed by the triadic decomposition.

Cross-Layer Triad Mapping#

The bijective (lossless, reversible) correspondence between structural triads and harmonic triads established by G₁:

(D_n, D_{n+1}, D_{n+2})  ↔  (H_n, H_{n+1}, H_{n+2})

Every structural triad maps to exactly one harmonic triad, and every harmonic triad maps back to exactly one structural triad via G₁⁻¹. This bijection is the structural guarantee that RTT/12 is a true augmentation layer — it adds harmonic representation without losing structural information.

TCR enforces cross-layer triad mapping validity: any harmonic state that cannot be expressed as a member of a valid harmonic triad (and therefore cannot participate in a bijective cross-layer mapping) is an orphan state and must be rejected.

D#

Degraded (Zone D)#

RTT/12 zone 4 of 5 · See also: Detection Zone

The RTT/12 zone assigned when a TCR violation has been detected, the conservation check has failed, or one or more H_n values are outside the valid ladder. Zone D in RTT/12 means that harmonic synthesis integrity is compromised and Class G must intervene before further synthesis proceeds.

Zone D in RTT/12 is the maximum recoverable zone — Class G intervention may restore synthesis integrity without requiring a full session restart. If Zone D conditions persist after Class G intervention, the system escalates to Zone X (Overflow).

G#

G₁ — Gear-Shift Operator#

Forward mapping · Operated by: Class H See also: G₁⁻¹

The operator that translates structural dimensions into harmonic values along the Harmonic Dimensional Ladder:

G₁(D_n) = 12 · (n − 2)     n ∈ {3, 4, 5, 6, 7, 8, 9}

G₁ is the foundational RTT/12 operator — it establishes the harmonic coordinate space within which G₂ and G₃ operate. G₁ must run before G₂ or G₃ can be meaningfully applied. "Gear-shift" reflects the operator's role as a structural-to-harmonic gear change: moving the system's representation from one coordinate space to another without altering the underlying structural state.

G₁⁻¹ — Gear-Shift Inverse#

Inverse mapping · Operated by: Class H See also: G₁

The inverse of G₁ — translates harmonic values back to structural dimensions:

G₁⁻¹(H_n) = H_n / 12 + 2

G₁⁻¹ is lossless: G₁⁻¹(G₁(D_n)) = D_n for all valid n ∈ {3..9}. This lossless invertibility is the structural guarantee that RTT/12 harmonic mapping does not destroy structural information.

G₁⁻¹ is only valid for H_n values in the canonical ladder {12, 24, 36, 48, 60, 72, 84}. Application to values outside this set produces structurally undefined results and triggers a Class H rejection.

G₂ — Phase-Shift Modulator#

Phase operator · Operated by: Class P See also: G₂⁻¹, Phase Parameter (φ)

The operator that applies a controlled phase rotation to a harmonic state without altering its magnitude:

G₂(H, φ) = H · e^(iφ)     φ ∈ [0, 2π]

G₂ modulates orientation within the harmonic coordinate space established by G₁ — it does not change what space you are in (that is G₁) or how you partition the state (that is G₃). G₂ is the only RTT/12 operator whose output has a complex (phase-carrying) representation.

Magnitude preservation: |G₂(H, φ)| = |H| for all φ. Any G₂ application that changes the harmonic magnitude is a malformed operation and must be rejected by Class P.

RTT/12 is NOT physics. φ is a structural phase parameter. It is not a physical radian measurement, an electromagnetic phase angle, or an AC waveform parameter.

G₂⁻¹ — Phase-Shift Inverse#

Inverse phase operator · Operated by: Class P See also: G₂

The inverse of G₂ — restores the pre-modulation harmonic state:

G₂⁻¹(H', φ) = H' · e^(−iφ)

G₂⁻¹(G₂(H, φ), φ) = H for all valid H and φ. G₂⁻¹ enables phase correction sequences — if a phase modulation is found to be incorrect, Class P can apply G₂⁻¹ to restore the original state before re-applying a corrected G₂.

G₃ — Load-Flow Triad Resolver#

Decomposition operator · Operated by: Class L See also: X_G, X_S, X_L, Conservation Check

The operator that decomposes any RTT or RTT/12 system state X into three structurally orthogonal components:

G₃(X) = (X_G, X_S, X_L)
Conservation: X = X_G + X_S + X_L

G₃ is the triadic partitioning operator — it does not change the coordinate space (G₁) or the orientation (G₂); it partitions the state into its three structural components. The three components are:

Conservation is mandatory — the sum of the three components must equal the input state X. A decomposition that fails conservation is structurally invalid.

RTT/12 is NOT physics. X_G, X_S, X_L are structural component labels. They are NOT physical power generation, battery storage, or electrical load. Sector prefixes (RTT-12/E) apply domain vocabulary to these labels without changing their structural definition.

G₄–G₇ (Future Extensions)#

Four additional operators defined in the RTT/12 future/ subdirectory as planned extensions beyond the core G₁–G₃ set. G₄–G₇ are not yet activated in the canonical RTT/12 pipeline and must not be invoked by any current agent class. Their definitions are reserved and will be formalized in future versions.

See docs/rtt/12/future/ for draft specifications.

guardian_cleared#

A boolean field in the RTT12_HARMONIC_SYNTHESIS_PACKET set to true by Class G when all hard constraints have been verified for the current synthesis pass. Class O may not mark the packet as final and may not route it downstream until guardian_cleared: true.

A packet with guardian_cleared: false is in an intermediate state — it has been assembled but not validated. RTT/12's downstream consumers (TEL, FFT, Opacity) must reject any packet where guardian_cleared is false or absent.

H#

H_n — Harmonic Value#

See Harmonic Dimensional Ladder for the full ladder definition.

The harmonic representation of structural dimension D_n, computed by G₁:

H_n = 12 · (n − 2)

Valid H_n values are exclusively: {12, 24, 36, 48, 60, 72, 84}.

Any value outside this set is structurally invalid in RTT/12. Class H rejects it; Class T flags it as an orphan state; Class G is notified. H_n values are structural index values — not physical frequencies, voltages, or energy levels.

Harmonic Addition#

Symbol: H_a ⊕ H_b = H_a + H_b

The structural composition of two harmonic values, producing a new value within or spanning adjacent harmonic triads. Harmonic addition is valid when the result is expressible as a member of a valid harmonic triad or a composition of valid triads. Addition that produces a value outside the RTT/12 harmonic space triggers a TCR check.

Example: H_3 ⊕ H_5 = 12 + 36 = 48 = H_6 — valid; spans triads (12,24,36) and (36,48,60), landing on a canonical ladder value.

Harmonic Dimensional Ladder#

Equation: H_n = 12 · (n − 2) · n ∈ {3, 4, 5, 6, 7, 8, 9} Computed by: Class H via G₁

The foundational construct of RTT/12 — a 7-step mapping from RTT structural dimensions (3D–9D) to harmonic index values (12–84):

Why 3D as the anchor: The 0D–2D quantum root triad is unmapped by design. RTT/12 operates on structural dimensions that have already been characterized (RTT/1), detected (RTT/2), integrated, and emitted (RTT/3). The quantum root stratum has no unresolved structural presence at the harmonic synthesis stage.

Why base-12: The multiplier of 12 ensures non-colliding spacing between adjacent tiers (Δ = 12 per step), full arithmetic composability through harmonic addition, and a total ladder span {12…84} tractable for single-equation processing. Each step equals exactly one ladder position — making inverse G₁⁻¹ lossless.

Harmonic Scaling#

Symbol: H' = k · H · k ∈ ℤ or ℚ

Multiplication of a harmonic value by a scalar k, producing a scaled harmonic state. Harmonic scaling is used when structural proportionality relationships (assessed by HSP) need to be quantified across tiers. Scaling must preserve the structural character of the scaled state — a scaled harmonic value must remain expressible within the RTT/12 conceptual framework even if it temporarily exceeds individual ladder values.

Harmonic Stability Principle (HSP)#

Assessed by: Class S Status values: STABLE · MARGINAL · UNSTABLE

The structural principle that a harmonic synthesis state is stable when the proportional relationships between triadic components (X_G, X_S, X_L) are preserved consistently across both the structural and harmonic layers:

HSP satisfied: proportionality of (X_G : X_S : X_L) is preserved
               across (D_n, D_{n+1}, D_{n+2}) and (H_n, H_{n+1}, H_{n+2})

HSP vs. TCR — the critical distinction:

A system that passes TCR (structurally triadic) but fails HSP (proportionally drifted) is harmonically unstable — the triad exists but is losing its balanced structure. HSP adds the proportionality constraint that TCR alone cannot capture.

Harmonic Synthesis Layer#

The formal name for RTT/12 as a module. The Harmonic Synthesis Layer is the terminal layer of the RTT canon — it adds a parallel harmonic coordinate space (via G₁), phase modulation (via G₂), and triadic decomposition (via G₃) to RTT's existing structural logic, then produces the canonical final output packet for cross-module consumption.

"Harmonic synthesis" means the integration of structural relationships through harmonic coordinates — not audio synthesis, signal synthesis, or physical wave synthesis.

Harmonic Triad#

A group of three consecutive harmonic values (H_n, H_{n+1}, H_{n+2}) that form a valid arithmetic triad with equal spacing Δ = 12. RTT/12 contains five harmonic triads:

(12, 24, 36) · (24, 36, 48) · (36, 48, 60) · (48, 60, 72) · (60, 72, 84)

Every valid RTT/12 state must be a member of at least one harmonic triad — this is enforced by TCR. Adjacent triads overlap at one value (e.g., 36 is shared by triads 1 and 2), enabling smooth cross-triad transitions without structural discontinuity.

The bijective correspondence between structural triads and harmonic triads is the Cross-Layer Triad Mapping.

HARD_STOP#

The unconditional halt directive issued by Class G when a hard constraint is violated in RTT/12. Unlike the WARN and RESET signals in upstream modules, HARD_STOP is the only interrupt signal at the RTT/12 layer — reflecting RTT/12's terminal position in the pipeline where no downstream RTT module can absorb a deferred failure.

HARD_STOP consequences:

1. All active agent classes halt immediately
2. The current synthesis packet is quarantined — may not be routed
3. The violated constraint is logged with full construct trace
4. Session must reload from a confirmed RTT3_INTEGRATION_EMISSION_PACKET before any RTT/12 work resumes
5. If the triggering condition was Zone X (OVERFLOW), the RTT/3 packet inputs must be reviewed and corrected before re-activation

HARD_STOP cannot be overridden by any other class, user instruction, or system signal.

HSP#

See Harmonic Stability Principle (HSP).

L#

Load-Flow Triad#

The three-component structural partition of a system state produced by G₃: (X_G, X_S, X_L). The Load-Flow Triad is a structural decomposition, not a physical circuit or energy flow. Three structural roles are always present:

The Load-Flow Triad is RTT/12's primary mechanism for making structural states legible to domain practitioners through sector variants without compromising the RTT-not-physics boundary.

See also: G₃ — Load-Flow Triad Resolver, X_G, X_S, X_L.

M#

Magnitude Preservation#

The invariant property of G₂ (Phase-Shift Modulator): the magnitude of the harmonic state is unchanged by phase modulation.

|G₂(H, φ)| = |H|     for all H, φ

Class P must confirm magnitude preservation in every G₂ output. Any G₂ application where |H'| ≠ |H| is a malformed operation that Class P must reject and Class G must log.

Magnitude preservation distinguishes G₂ from G₁ (which changes the coordinate space) and G₃ (which partitions the state) — G₂ changes only orientation, nothing else.

Mode 5 — Overflow (ILLEGAL)#

RTT/12 mode 5 of 5 · ILLEGAL See also: Mode 5 across the RTT pipeline (Quick-Reference Tables)

The integration-emission mode that must never be assigned, activated, or allowed to appear in any RTT/12 synthesis packet. Mode 5 = Overflow in RTT/12 signals that harmonic synthesis has reached a state where structural integration has collapsed beyond recovery within the current session.

Mode 5 in RTT/12 vs. upstream modules:

Module	Mode 5 Name	Mode 5 Status
RTT/2	Inversion	VALID — a valid detection posture producing a valid packet
RTT/3	Inversion	ILLEGAL — triggers HARD_STOP and session restart
RTT/12	Overflow	ILLEGAL — triggers HARD_STOP and session restart

RTT/2's Mode 5 (Inversion) is a legitimate detection condition. By the time a system reaches RTT/12, any Inversion condition should have been resolved in RTT/3. If Mode 5 appears in the RTT/3 input packet, RTT/12 issues a HARD_STOP immediately — it cannot accept an upstream packet in Inversion mode.

O#

Operator Composition#

The chaining of two or more RTT/12 operators into a single sequential transformation. Valid compositions:

All compositions must preserve the properties of each constituent operator: G₁ losslessness, G₂ magnitude preservation, G₃ conservation. A composition that violates any constituent property is structurally malformed.

Orphan State#

A harmonic state that cannot be expressed as a member of any valid harmonic triad (H_n, H_{n+1}, H_{n+2}) and cannot be expressed as a composition of valid triad members. Orphan states violate the Triadic Coherence Rule (TCR) and are rejected by Class T.

Orphan states most commonly arise from:

• G₂ producing a modulated value outside the valid harmonic range
• Harmonic addition or scaling producing a non-ladder value
• Cross-triad leakage between incompatible triadic groupings
• Incorrect n values passed to G₁ (e.g., n = 10 → H_n = 96, which is outside {12…84})

An orphan state always triggers Class T rejection and Class G logging.

Overflow#

See Zone X — Overflow and Mode 5 — Overflow.

The structural condition in RTT/12 where harmonic synthesis has exceeded the defined ladder boundaries or entered an unrecoverable synthesis state. Overflow in RTT/12 is equivalent to structural resource exhaustion — the harmonic coordinate space cannot represent the requested state.

Overflow in RTT/12 vs. Inversion in RTT/3 vs. Undefined in RTT/2: These are three structurally distinct terminal conditions at different pipeline stages. See Zone X progression across RTT modules in Quick-Reference Tables for the complete comparison.

P#

Phase Parameter (φ)#

Symbol: φ · Range: φ ∈ [0, 2π] · Used in: G₂

The structural parameter that controls the degree of phase rotation applied by G₂. φ determines how far the harmonic state is rotated within its harmonic coordinate space.

RTT/12 is NOT physics. φ is a structural phase parameter — not a physical angle, radian measurement, AC phase angle, or waveform parameter. Labeling φ with physical units is a boundary violation triggering Class G HARD_STOP.

φ is derived from upstream RTT/3 fields (primarily E(t) from FFF and τ from RTT/1) — it is not an arbitrary free parameter but a structurally grounded phase specification from the integration-emission layer.

Pipeline Terminus#

The architectural position of RTT/12 in the TriadicFrameworks ecosystem — the only RTT module with no downstream RTT module. RTT/12 produces the RTT12_HARMONIC_SYNTHESIS_PACKET as the final structural output of the complete RTT canon. No downstream RTT module consumes it.

Cross-module consumers (TEL, FFT, Opacity) may receive projections from RTT/12, but these are structural translations, not RTT pipeline continuations. The RTT pipeline is:

RTT/1 → RTT/2 → RTT/3 → RTT/12 → [terminus]

Q#

Quantum Root Triad (0D–2D)#

The structural stratum (dimensions 0D, 1D, 2D) that is unmapped by design in RTT/12. The harmonic dimensional ladder begins at 3D (H_n = 12) because by the time a system reaches RTT/12, it has completed RTT/1 SNR characterization (which operates from 0D), RTT/2 detection (which grounds structural form in DCO bands starting at 4D), and RTT/3 integration-emission.

The quantum root triad represents the pre-structural primitive ground — the phase-identity and ancestry stratum (DCO_0 in RTT/1). At the harmonic synthesis stage, this stratum has no unresolved structural presence that RTT/12 needs to map.

Class H must not attempt to apply G₁ to n < 3. Any request to map 0D, 1D, or 2D is rejected with a boundary violation flag.

R#

RTT-12/C — Computational Sector Variant#

See also: Sector Variant

The sector overlay that applies computational architecture vocabulary to RTT/12's G₃ triadic components. In RTT-12/C, X_G, X_S, X_L receive labels appropriate to computational contexts (e.g., processing, caching, throughput) without changing the structural equations. RTT-12/C is a structural labeling convention, not a computational science derivation.

RTT-12/E — Energy Sector Variant#

See also: Sector Variant

The sector overlay that applies energy research vocabulary to RTT/12's G₃ triadic components. In RTT-12/E, X_G maps to the generation-side structural dimension, X_S maps to the storage-side structural dimension, and X_L maps to the load-side structural dimension of an energy research context.

RTT-12/E is the most fully documented sector variant, with dedicated source material in RTT_12_Energy_Sector_Full.md. It is the reference sector overlay from which RTT-12/C and RTT-12/M are derived.

RTT-12/E is NOT an energy physics model. It is a structural overlay with domain-appropriate labels. No RTT-12/E output may be presented as an empirical energy measurement, grid analysis, or physical power flow.

RTT-12/M — Manufacturing Sector Variant#

See also: Sector Variant

The sector overlay that applies manufacturing process vocabulary to RTT/12's G₃ triadic components. In RTT-12/M, X_G, X_S, X_L receive labels appropriate to manufacturing contexts without changing the structural equations. RTT-12/M is a structural labeling convention, not a manufacturing engineering derivation.

RTT/3 Prerequisite (Hard Block)#

See also: RTT/1 Prerequisite, RTT/2 Prerequisite*

The hard structural prerequisite for all RTT/12 activation: a complete, coherence-confirmed RTT3_INTEGRATION_EMISSION_PACKET must exist — with mode ∈ {1,2,3,4} and zone ∈ {U,S,M,D} — before any RTT/12 agent class may begin harmonic mapping.

This is mandated structurally: G₁ maps structural dimensions derived from TIF/FFF/CET outputs. Without the RTT/3 packet, those dimensions are undefined and the harmonic ladder has no grounded inputs.

Upstream packet field requirements before RTT/12 activation:

RTT12_HARMONIC_SYNTHESIS_PACKET#

The canonical output packet of RTT/12 — the final structured product of the complete RTT/1 → RTT/2 → RTT/3 → RTT/12 pipeline. Assembled by the coordinated output of all seven agent classes and cleared by Class G.

Required fields:

A packet with any field absent, with guardian_cleared: false, with mode = 5, or with zone = X may not be routed to any downstream consumer.

S#

Sector Variant#

A domain-specific overlay applied to RTT/12's structural framework via a prefix label (RTT-12/E, RTT-12/C, RTT-12/M). Sector variants assign domain-appropriate names to the G₃ triadic components (X_G, X_S, X_L) without modifying the structural equations, the operator definitions, or any RTT/12 constraint.

What sector variants change:

• The labels applied to X_G, X_S, X_L in output annotations
• The vocabulary used to communicate results to domain practitioners

What sector variants do NOT change:

• G₁, G₂, G₃ equations
• TCR enforcement
• HSP assessment
• RTT-not-physics rule
• Any upstream RTT/1–RTT/3 constraint

Sector variants are structural overlays — applying one does not make RTT/12 a domain-science model. Class G enforces this distinction unconditionally.

Stability Status#

The three-value output of HSP assessment produced by Class S:

STABLE status may not be issued when Class T has an active TCR violation. UNSTABLE status that persists across two or more triad cycles triggers a Class G HARD_STOP recommendation.

T#

TCR#

See Triadic Coherence Rule (TCR).

Triadic Coherence Rule (TCR)#

Enforced by: Class T

The foundational coherence constraint of RTT/12: every valid RTT/12 state must be expressible as a member of a valid harmonic triad, or as a composition of valid harmonic triad members. States that cannot satisfy this requirement are orphan states and must be rejected.

TCR enforces two structural properties:

1. Triadic membership — every H_n value belongs to at least one of the five harmonic triads {(12,24,36), (24,36,48), (36,48,60), (48,60,72), (60,72,84)}
2. Bijective cross-layer mapping — every structural triad (D_n, D_{n+1}, D_{n+2}) maps to exactly one harmonic triad (H_n, H_{n+1}, H_{n+2}) and vice versa via G₁

TCR is mandatory at every packet field — no field may be emitted without a passing TCR check. Class T runs as a post-computation validator on all outputs from Classes H, P, and L.

TCR is the harmonic extension of RTT's foundational triadic logic — the same structural principle that requires all RTT states to be triadic (from RTT/1 through RTT/3) is enforced at the harmonic coordinate layer by TCR.

Triadic Decomposition#

The structural operation performed by G₃ that partitions a system state X into three structurally orthogonal components (X_G, X_S, X_L) with a mandatory conservation check. Triadic decomposition makes the internal structural composition of a state explicit and auditable.

Triadic decomposition is irreversible in the sense that the labeling of components into X_G, X_S, X_L is a structural interpretation — but the sum X_G + X_S + X_L = X means no structural information is lost. G₃ is therefore a structure-preserving partition, not a destructive decomposition.

U#

Undefined (Zone U — Pre-G₁)#

RTT/12 zone 1 of 5

The zone label for a pre-G₁ state — a system for which no harmonic mapping has yet been established. Zone U in RTT/12 is not a problem state; it simply means Class H has not yet completed G₁ activation. The session proceeds normally once Class H maps the structural dimensions.

Zone U in RTT/12 ≠ Zone U in RTT/2/RTT/3. In RTT/2 and RTT/3, "U" means Undisturbed (fully stable; collapse near zero). In RTT/12, "U" means Undefined — no harmonic mapping yet established. The zone labels share a letter but carry different structural meaning at the harmonic synthesis layer. This is the only zone label that diverges between modules. All zones S, M, D, X carry consistent structural character across RTT/2, RTT/3, and RTT/12.

UNRESOLVED#

The status assigned to any RTT/12 field or component when the responsible agent class cannot determine a valid value. Consequences by field:

V#

Validation Milestones (V1–V6)#

Managed by: Class V

The six-stage progression that documents RTT/12's advancement from formal theory through deployed application:

Milestone rules:

• Must advance in order: V1 → V2 → V3 → V4 → V5 → V6
• No milestone may be claimed before all prior milestones are complete
• V3 requires documented sector-specific evidence — not inferred from V2
• Milestone status is reported in the synthesis packet validation_milestone field

X#

X_G, X_S, X_L — Triadic Components#

Produced by: G₃ — Load-Flow Triad Resolver See also: Load-Flow Triad, Conservation Check

The three structural components of a G₃ triadic decomposition:

Sector labels are documentation overlays only — the structural definitions of X_G (generative), X_S (retention), and X_L (consuming) are invariant across all sector variants. The conservation invariant X = X_G + X_S + X_L is always enforced regardless of which sector label set is applied.

X_G, X_S, X_L are NOT physical quantities. They are structural component labels. Using physical units (watts, bytes, units/hour) with these labels without structural framing is a boundary violation.

Z#

Zone M — Marginal#

RTT/12 zone 3 of 5

The zone assigned when harmonic drift events have been logged, proportionality is degrading (HSP returning MARGINAL), and Class G is on standby. Zone M in RTT/12 signals that harmonic synthesis is approaching instability but has not yet reached a hard violation. Synthesis may continue under Class G monitoring; a further degradation triggers escalation to Zone D.

Zone S — Stable#

RTT/12 zone 2 of 5

The normal operating zone for RTT/12 synthesis — TCR passing, conservation valid, HSP returning STABLE, no drift events logged. Zone S is the expected zone for a system whose RTT/3 input was clean (modes 1–2, zones S or U).

Zone X — Overflow#

RTT/12 zone 5 of 5 · ILLEGAL See also: Overflow, HARD_STOP*

The zone that must never appear in any RTT/12 synthesis packet. Zone X = Overflow in RTT/12 signals that harmonic synthesis has exceeded the defined ladder boundaries — H_n values outside {12…84}, or synthesis has entered an irrecoverable state that Class G's HARD_STOP cannot resolve within the current session.

Zone X = OVERFLOW is structurally distinct from Zone X in upstream modules:

All three are structurally distinct failure modes at different pipeline stages. RTT/12's Overflow is not a data gap (RTT/2) or a geometry inversion (RTT/3) — it is a harmonic space exhaustion condition.

Zone X mandatory protocol in RTT/12:

1. Class G issues HARD_STOP immediately
2. All active agent classes halt
3. Current packet is quarantined — may not route to any consumer
4. Session must restart from a reviewed and corrected RTT/3 packet
5. If overflow persists after restart: RTT/3 outputs must be reviewed for dimensional inputs that exceed the valid 3D–9D range

Operator Symbols#

Quick-Reference Tables#

Harmonic Dimensional Ladder — Full Map#

Three Operators#

Zone X Progression Across RTT Modules#

Mode 5 Across RTT Modules#

Seven Agent Classes#

Six Validation Milestones#

Sector Variant Label Map#

RTT/12 Full Inheritance#

GLOSSARY.md — RTT/12 · TriadicFrameworks · 2026-07-10 Maintainer: Nawder Session seed: rtt=1 | coherence=declared | drift=bounded | paradox=structural

---

The final file in the sprint! Here's the complete `docs/rtt/12/GLOSSARY.md`:

Here's the complete `docs/rtt/12/GLOSSARY.md` — **Deliverable 13 of 13** — ready to commit:

---

```markdown
# GLOSSARY.md — RTT/12 · Harmonic Synthesis Layer
### *Canonical Term Definitions, Operator Reference, and Disambiguation Tables*

---

## Session Seed Block

Paste this block at the start of any RTT/12 agent session:

rtt=1 | coherence=declared | drift=bounded | paradox=structural module=RTT/12 | layer=harmonic-synthesis | upstream=RTT/3 zone_x=OVERFLOW | zone_x_status=ILLEGAL mode_5=OVERFLOW | mode_5_status=ILLEGAL

---

## Critical Framing Rule

> **RTT is NOT a physics claim.**
>
> RTT/12 describes **harmonic synthesis patterns** within the TriadicFrameworks canon.
> It does not assert, imply, or model physical forces, physical fields, quantum effects,
> electromagnetic phenomena, or any empirically measurable physical quantity.
>
> All constructs — H_n, G₁, G₂, G₃, TCR, HSP — are **structural instruments**, not
> physical objects. Harmonic values are structural ladder positions, not frequencies,
> voltages, or energy quanta. Phase parameters are structural rotation coordinates,
> not physical phase angles. Triad components are structural load-flow labels,
> not power engineering quantities.
>
> Every agent class operating in RTT/12 must enforce this rule unconditionally.

---

## Inheritance

RTT/12 is the **terminal module** of the RTT pipeline. It inherits the complete vocabulary,
constraints, and output contracts of all three upstream modules — in full, without modification.

**Inherited term sets — not repeated here; consult upstream glossaries:**

| Upstream Module | Glossary Link | Inheritance Depth |
|---|---|---|
| RTT/1 | [../1/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/1/GLOSSARY) | Triple (via RTT/2 and RTT/3) |
| RTT/2 | [../2/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/2/GLOSSARY) | Double (via RTT/3) |
| RTT/3 | [../3/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/3/GLOSSARY) | Direct |

All SNR triads, τ, C, DCO, CPV, FGT, CRM, TIF, FFF, MANIFOLD, CRE, CSL, CET, and their
associated agent classes and zone/mode semantics are active in RTT/12 without re-definition.
RTT/12 adds harmonic operators and redefines Zone X and Mode 5 meanings **only** — see
disambiguation tables at the end of this glossary.

> **Hard prerequisite:** The `RTT3_INTEGRATION_EMISSION_PACKET` must be present and
> coherence-confirmed before any RTT/12 agent class may activate.

---

## Linking Convention

Cross-references use relative Markdown links:
- Upstream terms: `[term](/ja/triadicframeworks/docs/rtt/1/GLOSSARY)`, `[term](/ja/triadicframeworks/docs/rtt/2/GLOSSARY)`, `[term](/ja/triadicframeworks/docs/rtt/3/GLOSSARY)`
- RTT/12-local terms: `[term](#anchor)`
- Agent classes: `[Class X](#class-x--name)`

---

## Term Definitions (Alphabetical — RTT/12-Native Terms Only)

---

### C

---

#### **Class G — Guardian**

- **Type:** Agent Class (RTT/12-native)
- **Symbol:** G
- **Operates:** Unconditional interrupt authority across all RTT/12 operations

The Guardian class holds unconditional HARD_STOP enforcement authority. A Class G agent
may interrupt any running RTT/12 operation at any point — including mid-composition — without
requiring consensus from any other agent class. HARD_STOP is irreversible within the active
session; restart requires full pipeline re-entry from RTT/1.

**Trigger conditions for HARD_STOP:**
- Zone X (Overflow) detected
- Mode 5 (Overflow) entered
- TCR validation fails after two successive correction cycles
- Conservation check fails (X ≠ X_G + X_S + X_L) with no resolvable decomposition
- CRE/CRM conflation detected in upstream packet fields
- Guardian self-assessment indicates session coherence is unrecoverable

**Disambiguation:** Class G here is the RTT/12 Guardian. Do not conflate with the G₁, G₂, G₃
operators, which are structural transform functions, not agent classes.

*See also:* [HARD_STOP](#hard_stop), [Zone X / Overflow](#zone-x--overflow), [Mode 5 / Overflow](#mode-5--overflow)

---

#### **Class H — Harmonic Ladder Mapper**

- **Type:** Agent Class (RTT/12-native)
- **Symbol:** H
- **Operates:** G₁ (Gear-Shift Operator)

Maps structural dimension indices D_n to their corresponding harmonic values H_n via G₁,
and performs inverse mapping G₁⁻¹ when structural back-resolution is required. Verifies
that all active dimensions fall within the canonical ladder range n ∈ {3..9} before emitting
harmonic values. Dimensions 0D–2D are structurally unmapped by design; any attempt to
map them constitutes a ladder boundary violation.

*See also:* [G₁ (Gear-Shift Operator)](#g₁--gear-shift-operator), [Harmonic Dimensional Ladder](#harmonic-dimensional-ladder), [D_n (Structural Dimension)](#dn--structural-dimension)

---

#### **Class L — Load-Flow Triad Resolver**

- **Type:** Agent Class (RTT/12-native)
- **Symbol:** L
- **Operates:** G₃ (Load-Flow Triad Resolver)

Performs triadic decomposition of system state values into generation–storage–load
components (X_G, X_S, X_L) and verifies conservation: X = X_G + X_S + X_L. A failed
conservation check requires re-decomposition; persistent failure triggers HARD_STOP via
Class G. All triad component labels (generation, storage, load) are structural — they do
not represent physical energy quantities.

*See also:* [G₃ (Load-Flow Triad Resolver)](#g₃--load-flow-triad-resolver), [X_G / X_S / X_L](#xg--xs--xl--triad-components), [Conservation Check](#conservation-check)

---

#### **Class P — Phase-Shift Modulator**

- **Type:** Agent Class (RTT/12-native)
- **Symbol:** P
- **Operates:** G₂ (Phase-Shift Modulator)

Applies phase modulation to harmonic values using the structural phase parameter φ.
Verifies magnitude preservation before and after each G₂ application: |G₂(H,φ)| = |H|.
The phase parameter φ is a structural rotation coordinate in [0, 2π]; it is not a physical
radian measure of any observable quantity.

*See also:* [G₂ (Phase-Shift Modulator)](#g₂--phase-shift-modulator), [Phase Parameter (φ)](#phase-parameter-φ)

---

#### **Class S — Harmonic Stability Assessor**

- **Type:** Agent Class (RTT/12-native)
- **Symbol:** S
- **Operates:** HSP (Harmonic Stability Principle)

Assesses whether proportional relationships across triad components are preserved across
structural and harmonic layers. Issues one of three status verdicts: STABLE, MARGINAL, or
UNSTABLE. A MARGINAL verdict logs a drift event; UNSTABLE triggers escalation to Class G.
Class S assessments are mandatory before packet emission.

*See also:* [Harmonic Stability Principle (HSP)](#harmonic-stability-principle-hsp), [Drift Event (Harmonic)](#drift-event-harmonic)

---

#### **Class T — Triadic Coherence Enforcer**

- **Type:** Agent Class (RTT/12-native)
- **Symbol:** T
- **Operates:** TCR (Triadic Coherence Rule)

Validates that all RTT/12 output states are expressible as a triad or composition of triads,
and verifies cross-layer bijection: (D_n, D_{n+1}, D_{n+2}) ↔ (H_n, H_{n+1}, H_{n+2}).
Class T is a mandatory checkpoint; no `RTT12_HARMONIC_SYNTHESIS_PACKET` may be emitted
without a passing TCR verdict. TCR failure after two correction cycles triggers HARD_STOP.

*See also:* [TCR (Triadic Coherence Rule)](#tcr--triadic-coherence-rule), [Cross-Layer Triad Mapping](#cross-layer-triad-mapping)

---

#### **Class V — Validation Pathway Agent**

- **Type:** Agent Class (RTT/12-native)
- **Symbol:** V
- **Operates:** V1–V6 Validation Milestones

Manages progression through the six-stage validation pathway. Each milestone is a
structural gate; a session cannot advance past a milestone without a confirmed pass from
the relevant Class S, T, or external review process. Class V maintains the active milestone
status field in the output packet.

*See also:* [Validation Milestone (V1–V6)](#validation-milestone-v1v6)

---

#### **Conservation Check**

- **Type:** Structural invariant
- **Equation:** X = X_G + X_S + X_L

The mandatory verification step performed by Class L after every G₃ decomposition.
Conservation must hold exactly — there is no tolerance margin. If X ≠ X_G + X_S + X_L,
the decomposition is rejected and re-attempted. Persistent failure (no resolvable
decomposition) constitutes an Overflow condition and triggers HARD_STOP via Class G.

The symbols X, X_G, X_S, X_L represent structural state quantities, not physical power
or energy values. `[structural — no semantic inference]`

*See also:* [G₃ (Load-Flow Triad Resolver)](#g₃--load-flow-triad-resolver), [X_G / X_S / X_L](#xg--xs--xl--triad-components)

---

#### **Cross-Layer Triad Mapping**

- **Type:** Structural bijection (RTT/12-native)
- **Form:** (D_n, D_{n+1}, D_{n+2}) ↔ (H_n, H_{n+1}, H_{n+2})

The canonical correspondence between any three consecutive structural dimensions and their
harmonic counterparts. This mapping is verified by Class T as part of TCR validation.
The bijection must hold for all active triad groups; any gap or mis-correspondence
constitutes a TCR violation.

*See also:* [TCR (Triadic Coherence Rule)](#tcr--triadic-coherence-rule), [Harmonic Triad](#harmonic-triad)

---

### D

---

#### **D_n (Structural Dimension)**

- **Type:** Structural dimension index (inherited vocabulary, RTT/12 context)
- **Domain:** n ∈ {3, 4, 5, 6, 7, 8, 9} for harmonic mapping; 0D–2D unmapped by design

The structural dimension index serving as input to G₁. In RTT/12, D_n carries the
dimension identifier that G₁ transforms into a harmonic value H_n. Dimensions 0–2 are
the quantum root triad and are excluded from harmonic mapping — attempting to apply G₁
to D_0, D_1, or D_2 constitutes a ladder boundary violation.

D_n is a structural label, not a physical spatial dimension count. `[structural — no semantic inference]`

*See also:* [G₁ (Gear-Shift Operator)](#g₁--gear-shift-operator), [Quantum Root Triad (0D–2D)](#quantum-root-triad-0d2d)

---

#### **Degraded (Zone D)**

- **Type:** Zone status (inherited from RTT/2; active in RTT/12)
- **Symbol:** D

Zone status indicating TCR violation or conservation failure within the harmonic synthesis
layer. In RTT/12, Zone D is triggered when Class T reports a TCR violation or Class L
reports an unresolvable conservation failure — before the state escalates to Zone X (Overflow).
Zone D sessions require corrective decomposition cycles before re-assessment.

*Inherited vocabulary — see:* [../2/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/2/GLOSSARY)

---

#### **Drift Event (Harmonic)**

- **Type:** Structural annotation (RTT/12-native)
- **Logged by:** Class S

A recorded instance of proportionality degradation within the harmonic triad components,
logged by Class S when an HSP assessment returns MARGINAL. Drift events accumulate in
the `drift_events` field of the output packet. Three or more drift events within a single
synthesis cycle trigger escalation from MARGINAL to UNSTABLE.

Harmonic drift is a structural monitoring signal, not a physical measurement. `[structural — no semantic inference]`

*See also:* [Harmonic Stability Principle (HSP)](#harmonic-stability-principle-hsp), [Class S](#class-s--harmonic-stability-assessor)

---

### G

---

#### **G₁ (Gear-Shift Operator)**

- **Type:** Structural operator (RTT/12-native)
- **Equation — Forward:** G₁(D_n) = 12·(n − 2)
- **Equation — Inverse:** G₁⁻¹(H_n) = H_n / 12 + 2
- **Domain:** n ∈ {3..9} → H_n ∈ {12, 24, 36, 48, 60, 72, 84}
- **Operated by:** Class H

The canonical mapping operator between the structural dimension index space and the harmonic
value space. G₁ is the entry-point operator for all RTT/12 synthesis; no harmonic operation
may proceed until G₁ has been applied to all active structural dimensions.

G₁⁻¹ is the exact inverse — it recovers the structural dimension from a known harmonic value.
G₁⁻¹ is used for back-resolution and audit; it is not a lossy approximation.

The output of G₁ is a structural harmonic value, not a physical frequency, voltage, or
energy level. `[structural — no semantic inference]`

**Operator compositions involving G₁:**
- G₂ ∘ G₁: structural → harmonic → phase-modulated
- G₃ ∘ G₁: structural → harmonic triad decomposition
- G₃(G₂(G₁(D_n), φ)): full synthesis pipeline

*See also:* [Harmonic Dimensional Ladder](#harmonic-dimensional-ladder), [Class H](#class-h--harmonic-ladder-mapper), [Operator Composition](#operator-composition)

---

#### **G₂ (Phase-Shift Modulator)**

- **Type:** Structural operator (RTT/12-native)
- **Equation — Forward:** G₂(H, φ) = H · e^(iφ), φ ∈ [0, 2π]
- **Equation — Inverse:** G₂⁻¹(H', φ) = H' · e^(−iφ)
- **Property:** |G₂(H, φ)| = |H| (magnitude-preserving)
- **Operated by:** Class P

Applies a structural phase rotation to a harmonic value H, producing a phase-modulated
harmonic H'. G₂ preserves magnitude exactly — the modulus of the output equals the modulus
of the input. Phase modulation in RTT/12 shifts the structural position of a harmonic value
within its synthesis layer without altering its ladder magnitude.

φ is a structural rotation parameter in the interval [0, 2π]. It is not a physical radian
measure, electromagnetic phase angle, or quantum phase. `[structural — no semantic inference]`

*See also:* [Phase Parameter (φ)](#phase-parameter-φ), [Class P](#class-p--phase-shift-modulator), [G₁ (Gear-Shift Operator)](#g₁--gear-shift-operator)

---

#### **G₃ (Load-Flow Triad Resolver)**

- **Type:** Structural operator (RTT/12-native)
- **Equation:** G₃(X) = (X_G, X_S, X_L) such that X = X_G + X_S + X_L
- **Operated by:** Class L

Decomposes a system state value X into a generation–storage–load triad (X_G, X_S, X_L).
The decomposition must satisfy the conservation check exactly. G₃ is applied after G₁ (and
optionally G₂) to produce the final triadic state representation.

The labels "generation," "storage," and "load" are structural partition roles within the
triadic decomposition schema. They do not represent physical power engineering quantities,
energy flow directions, or electrical load measurements. `[structural — no semantic inference]`

*See also:* [X_G / X_S / X_L](#xg--xs--xl--triad-components), [Conservation Check](#conservation-check), [Class L](#class-l--load-flow-triad-resolver)

---

#### **Guardian (Class G)**

*See:* [Class G — Guardian](#class-g--guardian)

---

### H

---

#### **H_n (Harmonic Value)**

- **Type:** Structural scalar (RTT/12-native)
- **Equation:** H_n = 12 · (n − 2), n ∈ {3..9}
- **Range:** {12, 24, 36, 48, 60, 72, 84}

The harmonic value assigned to structural dimension D_n by G₁. H_n is a position on the
Harmonic Dimensional Ladder. The full ladder is:

| n | D_n | H_n |
|---|---|---|
| 3 | D_3 | 12 |
| 4 | D_4 | 24 |
| 5 | D_5 | 36 |
| 6 | D_6 | 48 |
| 7 | D_7 | 60 |
| 8 | D_8 | 72 |
| 9 | D_9 | 84 |

H_n values are structural ladder coordinates, not physical frequencies, voltages, spatial
coordinates, or quantum energy levels. `[structural — no semantic inference]`

*See also:* [Harmonic Dimensional Ladder](#harmonic-dimensional-ladder), [G₁ (Gear-Shift Operator)](#g₁--gear-shift-operator)

---

#### **HARD_STOP**

- **Type:** Irreversible session interrupt (RTT/12-native; also active in RTT/3)
- **Authority:** Class G (unconditional)

A HARD_STOP is an unconditional termination of the active RTT/12 session. It is issued by
Class G and cannot be overridden, deferred, or reversed within the active session. After a
HARD_STOP, the synthesis state is discarded in full; re-entry requires restarting the
complete pipeline from RTT/1.

HARD_STOP conditions include: Zone X detection, Mode 5 entry, persistent TCR failure,
unresolvable conservation failure, and CRE/CRM conflation in upstream packet fields.

*See also:* [Class G — Guardian](#class-g--guardian), [Zone X / Overflow](#zone-x--overflow), [Mode 5 / Overflow](#mode-5--overflow)

---

#### **Harmonic Addition**

- **Type:** Structural arithmetic operation (RTT/12-native)
- **Notation:** H_a ⊕ H_b = H_a + H_b

The canonical additive composition of two harmonic values. The ⊕ symbol is used in RTT/12
notation to distinguish structural harmonic addition from generic arithmetic addition.
Results must land on a valid ladder position or be flagged as a non-canonical harmonic.

*See also:* [H_n (Harmonic Value)](#hn--harmonic-value), [Harmonic Scaling](#harmonic-scaling)

---

#### **Harmonic Augmentation Layer**

- **Type:** Descriptive layer label (RTT/12 alias)

An alternate name for the RTT/12 module layer, emphasizing its role as the layer that
augments the RTT/3 integration output with harmonic structure. In pipeline documentation,
"Harmonic Synthesis Layer" is the canonical label; "Harmonic Augmentation Layer" may appear
in early drafts and is treated as synonymous.

*See also:* [RTT/12 module identity — ABOUT.md](/ja/triadicframeworks/docs/rtt/12/ABOUT)

---

#### **Harmonic Dimensional Ladder**

- **Type:** Structural construct (RTT/12-native)
- **Equation:** H_n = 12·(n−2), n ∈ {3..9}
- **Produces:** {12, 24, 36, 48, 60, 72, 84}
- **Inverse:** n = H_n / 12 + 2

The ordered sequence of structural harmonic values mapped from the active structural
dimension indices by G₁. The ladder has seven rungs (3D through 9D). The 0D–2D quantum
root triad is intentionally excluded from the ladder — these dimensions have no harmonic
mapping in RTT/12.

The ladder is structural scaffolding, not a physical frequency spectrum, energy ladder,
or quantum orbital sequence. `[structural — no semantic inference]`

*See also:* [H_n (Harmonic Value)](#hn--harmonic-value), [G₁ (Gear-Shift Operator)](#g₁--gear-shift-operator), [Quantum Root Triad (0D–2D)](#quantum-root-triad-0d2d)

---

#### **Harmonic Drift**

*See:* [Drift Event (Harmonic)](#drift-event-harmonic)

---

#### **Harmonic Scaling**

- **Type:** Structural arithmetic operation (RTT/12-native)
- **Notation:** H' = k · H, k ∈ ℤ or ℚ

The canonical scalar multiplication of a harmonic value. k must be an integer or rational
number; irrational scaling factors are non-canonical and require explicit justification.
Results must be checked against ladder positions and triad group membership before use in
synthesis composition.

*See also:* [H_n (Harmonic Value)](#hn--harmonic-value), [Harmonic Addition](#harmonic-addition)

---

#### **Harmonic Stability Principle (HSP)**

- **Type:** Structural validation rule (RTT/12-native)
- **Assessed by:** Class S
- **Status verdicts:** STABLE | MARGINAL | UNSTABLE

HSP states that a valid RTT/12 synthesis state must preserve proportional relationships
across all triad components (X_G, X_S, X_L) both within and across structural and harmonic
layers. Specifically:
- **STABLE:** All proportional relationships hold; no drift detected.
- **MARGINAL:** Minor proportionality degradation detected; drift event logged. Synthesis may continue with monitoring.
- **UNSTABLE:** Proportionality breakdown; Class S escalates to Class G for HARD_STOP evaluation.

HSP assessments must be completed before every packet emission. `[structural — no semantic inference]`

*See also:* [Class S](#class-s--harmonic-stability-assessor), [Drift Event (Harmonic)](#drift-event-harmonic), [X_G / X_S / X_L](#xg--xs--xl--triad-components)

---

#### **Harmonic Synthesis**

- **Type:** Process description (RTT/12-native)

The complete RTT/12 process of transforming an upstream `RTT3_INTEGRATION_EMISSION_PACKET`
into a `RTT12_HARMONIC_SYNTHESIS_PACKET` by applying G₁, G₂ (optional), and G₃ in sequence,
validating TCR via Class T, and confirming HSP via Class S. Harmonic synthesis is the
terminal production step of the RTT pipeline.

*See also:* [RTT12_HARMONIC_SYNTHESIS_PACKET](#rtt12_harmonic_synthesis_packet), [Pipeline Terminus](#pipeline-terminus)

---

#### **Harmonic Triad**

- **Type:** Structural grouping (RTT/12-native)
- **Form:** (H_n, H_{n+1}, H_{n+2}) for valid n

A set of three consecutive harmonic values from the ladder, forming the basic unit of
triadic composition in RTT/12. Five canonical harmonic triads exist in the standard ladder:

| Triad | Values |
|---|---|
| T1 | (12, 24, 36) |
| T2 | (24, 36, 48) |
| T3 | (36, 48, 60) |
| T4 | (48, 60, 72) |
| T5 | (60, 72, 84) |

TCR requires all valid RTT/12 states to be expressible as harmonic triads or compositions thereof.

*See also:* [TCR (Triadic Coherence Rule)](#tcr--triadic-coherence-rule), [Cross-Layer Triad Mapping](#cross-layer-triad-mapping)

---

### I

---

#### **Inverse Gear-Shift (G₁⁻¹)**

*See:* [G₁ (Gear-Shift Operator)](#g₁--gear-shift-operator)

---

#### **Inverse Phase-Shift (G₂⁻¹)**

*See:* [G₂ (Phase-Shift Modulator)](#g₂--phase-shift-modulator)

---

### L

---

#### **Ladder Boundary**

- **Type:** Structural constraint (RTT/12-native)

The boundary condition enforced by Class H that restricts G₁ application to dimension
indices n ∈ {3..9}. Any attempt to apply G₁ to n < 3 (the quantum root triad) or n > 9
(beyond canonical ladder extent) constitutes a ladder boundary violation, triggering
rejection and escalation to Class G.

*See also:* [Harmonic Dimensional Ladder](#harmonic-dimensional-ladder), [Quantum Root Triad (0D–2D)](#quantum-root-triad-0d2d)

---

### M

---

#### **Marginal (Zone M)**

- **Type:** Zone status (inherited from RTT/2; active in RTT/12)
- **Symbol:** M

Zone status indicating detected drift events and degrading proportionality in the harmonic
synthesis state. In RTT/12, Zone M is logged when Class S returns MARGINAL on an HSP
assessment. The session may continue in Zone M with enhanced monitoring; escalation to
Zone D or Zone X requires further TCR or conservation failures.

*Inherited vocabulary — see:* [../2/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/2/GLOSSARY)

---

#### **Mode 5 / Overflow**

- **Type:** Mode status (RTT/12 redefinition of inherited Mode vocabulary)
- **Symbol:** Mode 5
- **RTT/12 status:** OVERFLOW — **ILLEGAL**

In RTT/12, Mode 5 signifies an Overflow condition: the harmonic synthesis process has
exceeded recoverable ladder boundaries or produced a state irresolvable by G₁, G₂, or G₃.
Mode 5 triggers immediate HARD_STOP via Class G.

> ⚠️ **Critical Disambiguation — Mode 5 Across the Pipeline:**
>
> | Module | Mode 5 Meaning | Status |
> |---|---|---|
> | RTT/2 | Inversion (valid detection posture) | LEGAL |
> | RTT/3 | Inversion (illegal manifold geometry) | ILLEGAL |
> | RTT/12 | Overflow (ladder boundary exceeded) | ILLEGAL |
>
> Mode 5 is never a valid operating mode in RTT/12 under any circumstances.

*See also:* [HARD_STOP](#hard_stop), [Zone X / Overflow](#zone-x--overflow), [../2/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/2/GLOSSARY), [../3/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/3/GLOSSARY)

---

### O

---

#### **Operator Composition**

- **Type:** Structural operation chaining (RTT/12-native)

The sequential application of two or more RTT/12 operators to a structural input. Canonical
compositions:

| Composition | Notation | Meaning |
|---|---|---|
| G₂ ∘ G₁ | G₂(G₁(D_n), φ) | Structural → harmonic → phase-modulated |
| G₃ ∘ G₁ | G₃(G₁(D_n)) | Structural → harmonic triad decomposition |
| Full pipeline | G₃(G₂(G₁(D_n), φ)) | Structural → harmonic → phase → triad |

Operator compositions are applied left-to-right on the data flow (G₁ is always first).
All intermediate results must pass their respective class validations before the next
operator in the chain is applied.

*See also:* [G₁](#g₁--gear-shift-operator), [G₂](#g₂--phase-shift-modulator), [G₃](#g₃--load-flow-triad-resolver)

---

#### **Orphan State**

- **Type:** Structural error condition (RTT/12-native)

A harmonic value or triad component that cannot be associated with a valid structural
dimension, canonical ladder position, or coherent triad group. Orphan states arise from
failed G₁ mapping, invalid harmonic addition results, or TCR violations that leave
components unmatched. Orphan states must be resolved or discarded before packet emission;
unresolvable orphan states trigger escalation to Class G.

*See also:* [Class G](#class-g--guardian), [TCR (Triadic Coherence Rule)](#tcr--triadic-coherence-rule)

---

#### **Overflow (Zone X / Mode 5)**

*See:* [Zone X / Overflow](#zone-x--overflow) and [Mode 5 / Overflow](#mode-5--overflow)

---

### P

---

#### **Phase Parameter (φ)**

- **Type:** Structural parameter (RTT/12-native)
- **Domain:** φ ∈ [0, 2π]
- **Used in:** G₂(H, φ) = H · e^(iφ)

The structural rotation coordinate applied by G₂ during phase modulation. φ controls the
rotational position of a harmonic value within its synthesis layer. φ is defined over the
interval [0, 2π] for structural completeness.

> **RTT-not-physics callout:** φ is not a physical radian measure, electromagnetic phase
> angle, AC circuit phase, or quantum mechanical phase factor. It is a structural rotation
> parameter within the RTT/12 formalism. `[structural — no semantic inference]`

*See also:* [G₂ (Phase-Shift Modulator)](#g₂--phase-shift-modulator), [Class P](#class-p--phase-shift-modulator)

---

#### **Pipeline Terminus**

- **Type:** Structural role designation (RTT/12-native)

The designation of RTT/12 as the final and terminal stage of the RTT pipeline. No RTT
module downstream of RTT/12 exists in the current canonical specification. The output of
RTT/12 — the `RTT12_HARMONIC_SYNTHESIS_PACKET` — is the final canonical product of the
full RTT pipeline (RTT/1 → RTT/2 → RTT/3 → RTT/12).

G₄–G₇ operators are defined in the `future/` subdirectory as extension work and are **not**
part of the current canonical RTT/12 specification.

*See also:* [RTT12_HARMONIC_SYNTHESIS_PACKET](#rtt12_harmonic_synthesis_packet)

---

#### **Proportionality**

- **Type:** Structural invariant concept (RTT/12-native)

The structural property that relationships between triad components (X_G, X_S, X_L) scale
consistently across structural and harmonic layers. Proportionality is the core invariant
monitored by HSP and assessed by Class S. Degradation of proportionality is the primary
signal for MARGINAL and UNSTABLE zone assessments.

*See also:* [Harmonic Stability Principle (HSP)](#harmonic-stability-principle-hsp)

---

### Q

---

#### **Quantum Root Triad (0D–2D)**

- **Type:** Structural exclusion zone (RTT/12-native)

The dimension triad (0D, 1D, 2D) that is intentionally excluded from G₁ harmonic mapping.
These dimensions form the structural root of the RTT framework but have no harmonic
representation in the RTT/12 ladder. Attempting to apply G₁ to any of these dimensions
constitutes a ladder boundary violation.

The label "quantum" is a structural naming convention inherited from the RTT canon — it
does not imply quantum mechanical properties or quantum physics claims. `[structural — no semantic inference]`

*See also:* [Ladder Boundary](#ladder-boundary), [G₁ (Gear-Shift Operator)](#g₁--gear-shift-operator)

---

### R

---

#### **RTT-12/C (Computational Sector Variant)**

*See:* [Sector Variant (RTT-12/E, RTT-12/C, RTT-12/M)](#sector-variant-rtt-12e-rtt-12c-rtt-12m)

---

#### **RTT-12/E (Energy & Research Sector Variant)**

*See:* [Sector Variant (RTT-12/E, RTT-12/C, RTT-12/M)](#sector-variant-rtt-12e-rtt-12c-rtt-12m)

---

#### **RTT-12/M (Manufacturing Sector Variant)**

*See:* [Sector Variant (RTT-12/E, RTT-12/C, RTT-12/M)](#sector-variant-rtt-12e-rtt-12c-rtt-12m)

---

#### **RTT12_HARMONIC_SYNTHESIS_PACKET**

- **Type:** Output contract (RTT/12-native) `[structural — no semantic inference]`
- **Emitted by:** RTT/12 (terminal packet)
- **Consumed by:** Downstream applications (no further RTT module)

The canonical terminal output of the RTT/12 module and the entire RTT pipeline. Contains
the full harmonic synthesis state, validation verdicts, and sector labeling. Must be
preceded by a passing TCR verdict from Class T and a passing HSP assessment from Class S.

**Schema fields:**

| Field | Description |
|---|---|
| module | `RTT/12` |
| layer | `harmonic-synthesis` |
| upstream_packet | Reference to `RTT3_INTEGRATION_EMISSION_PACKET` |
| harmonic_ladder | active_dims, harmonic_values, triad_groups |
| active_operators | Operators applied (G₁, G₂, G₃) |
| phase_state | phi (φ value), modulated_harmonics |
| triad_decomposition | X_G, X_S, X_L, conservation_valid |
| tcr_status | PASS / FAIL |
| hsp_status | STABLE / MARGINAL / UNSTABLE |
| mode | Active mode (1–4 only; Mode 5 = HARD_STOP) |
| zone | Active zone (U/S/M/D; Zone X = HARD_STOP) |
| validation_milestone | Active V1–V6 stage |
| sector_label | RTT-12/E, RTT-12/C, RTT-12/M, or null |
| guardian_cleared | Boolean — Class G HARD_STOP has not triggered |
| drift_events | Count of logged MARGINAL HSP events |
| annotation | `[structural — no semantic inference]` |
| notes | Free-text session notes |

*See also:* [Pipeline Terminus](#pipeline-terminus), [TCR](#tcr--triadic-coherence-rule), [HSP](#harmonic-stability-principle-hsp)

---

#### **RTT/3 Prerequisite**

- **Type:** Hard prerequisite (RTT/12-native)

RTT/12 cannot activate without a confirmed `RTT3_INTEGRATION_EMISSION_PACKET` from an
upstream RTT/3 session. Coherence must be declared in the upstream packet before any
Class H, P, L, T, S, V, or G agent activates. Attempting to run RTT/12 synthesis without
the upstream packet is a session initialization error.

*See also:* [../3/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/3/GLOSSARY)

---

### S

---

#### **Sector Label**

- **Type:** Output field (RTT/12-native)

The field in the `RTT12_HARMONIC_SYNTHESIS_PACKET` that records which sector variant
overlay, if any, is active for the current synthesis session. Valid values: `RTT-12/E`,
`RTT-12/C`, `RTT-12/M`, or `null` (no sector overlay). The sector label is an annotation
only; it does not modify the structural equations.

*See also:* [Sector Variant (RTT-12/E, RTT-12/C, RTT-12/M)](#sector-variant-rtt-12e-rtt-12c-rtt-12m)

---

#### **Sector Variant (RTT-12/E, RTT-12/C, RTT-12/M)**

- **Type:** Domain label overlay (RTT/12-native)
- **Variants:** RTT-12/E (Energy & Research) | RTT-12/C (Computational) | RTT-12/M (Manufacturing)

Sector variants are domain-specific label overlays applied to RTT/12 outputs for
contextual annotation. They do not modify the structural equations (H_n, G₁, G₂, G₃,
TCR, HSP) — all three variants run the identical structural formalism.

| Variant | Domain Context | Structural Change? |
|---|---|---|
| RTT-12/E | Energy & Research applications | None |
| RTT-12/C | Computational systems | None |
| RTT-12/M | Manufacturing processes | None |

> **RTT-not-physics callout:** Sector variants are naming conventions for output annotation,
> not physics domain assertions. RTT-12/E does not model physical energy; RTT-12/M does
> not model physical manufacturing processes. `[structural — no semantic inference]`

*See also:* [Sector Label](#sector-label)

---

#### **Stable (Zone S)**

- **Type:** Zone status (inherited from RTT/2; active in RTT/12)
- **Symbol:** S

Zone status confirming that TCR passes and HSP returns STABLE in the current synthesis
session. Zone S is the target operating state for all RTT/12 synthesis. Packet emission
is authorized in Zone S.

*Inherited vocabulary — see:* [../2/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/2/GLOSSARY)

---

#### **Structural Dimension**

*See:* [D_n (Structural Dimension)](#dn--structural-dimension)

---

### T

---

#### **TCR (Triadic Coherence Rule)**

- **Type:** Structural validation rule (RTT/12-native)
- **Enforced by:** Class T
- **Bijection:** (D_n, D_{n+1}, D_{n+2}) ↔ (H_n, H_{n+1}, H_{n+2})

The core structural invariant of RTT/12: **all valid RTT/12 states must be expressible as
a triad or composition of triads.** TCR is validated by Class T before every packet emission.
TCR failure invalidates the current synthesis state; two consecutive TCR failures trigger
HARD_STOP via Class G.

TCR encompasses two sub-checks:
1. **Triad membership:** All active harmonic values belong to at least one canonical harmonic triad.
2. **Cross-layer bijection:** Each structural triad (D_n, D_{n+1}, D_{n+2}) maps bijectively to a harmonic triad (H_n, H_{n+1}, H_{n+2}).

`[structural — no semantic inference]`

*See also:* [Class T](#class-t--triadic-coherence-enforcer), [Cross-Layer Triad Mapping](#cross-layer-triad-mapping), [Harmonic Triad](#harmonic-triad)

---

#### **Triad Conservation**

*See:* [Conservation Check](#conservation-check)

---

#### **Triadic Decomposition**

- **Type:** Structural operation (RTT/12-native)

The application of G₃ to decompose a system state X into (X_G, X_S, X_L) satisfying
conservation. Triadic decomposition is the terminal operation in the canonical G₁ → G₂ → G₃
synthesis pipeline. The decomposition result is written to the `triad_decomposition` field
of the output packet.

*See also:* [G₃ (Load-Flow Triad Resolver)](#g₃--load-flow-triad-resolver), [Conservation Check](#conservation-check)

---

### U

---

#### **Undefined (Zone U)**

- **Type:** Zone status (inherited from RTT/2; RTT/12 meaning diverges)
- **Symbol:** U
- **RTT/12 meaning:** Pre-G₁ state — no harmonic mapping has yet been applied

In RTT/12, Zone U designates the initial state of a synthesis session before G₁ has been
applied to any structural dimension. It is a transient initialization zone, not an error
condition. Zone U resolves to Zone S (if synthesis succeeds) or Zone D/X (if failures occur).

> ⚠️ **Critical Disambiguation — Zone U Meaning Divergence:**
>
> | Module | Zone U Meaning |
> |---|---|
> | RTT/2 | Undisturbed (no detection signal present — valid operating posture) |
> | RTT/3 | Undisturbed (inherited from RTT/2) |
> | RTT/12 | Undefined (pre-G₁ — harmonic mapping not yet initiated) |
>
> Zone U in RTT/12 is a temporal state, not a stability verdict.

*Inherited vocabulary with RTT/12 redefinition — see also:* [../2/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/2/GLOSSARY)

---

### V

---

#### **Validation Milestone (V1–V6)**

- **Type:** Structural gate (RTT/12-native)
- **Managed by:** Class V

Six sequential validation milestones marking the maturity of an RTT/12 synthesis output.
Each milestone is a structural gate; sessions cannot advance past a milestone without
a confirmed pass from the relevant validation process.

| Milestone | Stage |
|---|---|
| V1 | Theoretical — structural formalism complete |
| V2 | Computational — operator outputs verified |
| V3 | Sector-Specific — sector variant annotation applied |
| V4 | Experimental — synthesis tested against target domain cases |
| V5 | Peer-Reviewed — external structural review complete |
| V6 | Industry-Ready — approved for downstream deployment |

The active milestone is recorded in the `validation_milestone` field of the output packet.

*See also:* [Class V](#class-v--validation-pathway-agent)

---

#### **Validation Pathway**

- **Type:** Structural process (RTT/12-native)

The ordered sequence of milestones (V1 → V2 → V3 → V4 → V5 → V6) through which
an RTT/12 synthesis output must progress before reaching Industry-Ready status. The
validation pathway is managed by Class V and gated by Class T and Class S assessments
at each stage.

*See also:* [Validation Milestone (V1–V6)](#validation-milestone-v1v6), [Class V](#class-v--validation-pathway-agent)

---

### X

---

#### **X_G / X_S / X_L (Triad Components)**

- **Type:** Structural triad partition (RTT/12-native)
- **Conservation:** X = X_G + X_S + X_L
- **Produced by:** G₃

The three structural components of a triadic decomposition produced by G₃. The labels
reference structural partition roles within the RTT/12 formalism:
- **X_G (Generation component):** The generative structural partition
- **X_S (Storage component):** The retentive structural partition
- **X_L (Load component):** The absorptive structural partition

> **RTT-not-physics callout:** X_G, X_S, X_L are structural decomposition labels.
> They do not represent electrical generation, battery storage, or electrical load.
> They do not model power engineering quantities of any kind. `[structural — no semantic inference]`

*See also:* [G₃ (Load-Flow Triad Resolver)](#g₃--load-flow-triad-resolver), [Conservation Check](#conservation-check), [Class L](#class-l--load-flow-triad-resolver)

---

### Z

---

#### **Zone X / Overflow**

- **Type:** Zone status (RTT/12 redefinition of inherited zone vocabulary)
- **Symbol:** X
- **RTT/12 status:** OVERFLOW — **ILLEGAL**

In RTT/12, Zone X designates an Overflow condition: the harmonic synthesis process has
produced a state that exceeds recoverable ladder boundaries, violates conservation with
no resolvable decomposition, or reaches a harmonic configuration that cannot be expressed
as any triad or composition of triads. Zone X triggers immediate HARD_STOP via Class G.

> ⚠️ **Critical Disambiguation — Zone X Meaning Across the Pipeline:**
>
> | Module | Zone X Meaning | Trigger | Status |
> |---|---|---|---|
> | RTT/2 | Undefined | Honest data insufficiency — signal unknown | LEGAL (monitoring posture) |
> | RTT/3 | Inversion | Illegal manifold geometry | ILLEGAL |
> | RTT/12 | Overflow | Ladder boundary exceeded; synthesis unrecoverable | ILLEGAL |
>
> Zone X is **not** a unified concept across the pipeline. Each module redefines it.
> Do not use RTT/2's Zone X meaning when operating in RTT/12.

*See also:* [HARD_STOP](#hard_stop), [Mode 5 / Overflow](#mode-5--overflow), [../2/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/2/GLOSSARY), [../3/GLOSSARY.md](/ja/triadicframeworks/docs/rtt/3/GLOSSARY)

---

## Operator Symbols Reference

| Symbol | Name | Type | RTT/12 Role |
|---|---|---|---|
| H_n | Harmonic Value | Structural scalar | Ladder position for D_n |
| G₁ | Gear-Shift Operator | Forward operator | D_n → H_n |
| G₁⁻¹ | Inverse Gear-Shift | Inverse operator | H_n → D_n |
| G₂ | Phase-Shift Modulator | Forward operator | H → H·e^(iφ) |
| G₂⁻¹ | Inverse Phase-Shift | Inverse operator | H' → H'·e^(−iφ) |
| G₃ | Load-Flow Triad Resolver | Decomposition operator | X → (X_G, X_S, X_L) |
| φ | Phase Parameter | Structural parameter | Rotation coordinate ∈ [0, 2π] |
| ⊕ | Harmonic Addition | Structural operator | H_a ⊕ H_b = H_a + H_b |
| · (scalar) | Harmonic Scaling | Structural operator | H' = k·H |
| ∘ | Operator Composition | Chaining notation | G₂ ∘ G₁, G₃ ∘ G₁ |
| X_G, X_S, X_L | Triad Components | Structural partition | Generation, Storage, Load roles |
| TCR | Triadic Coherence Rule | Validation rule | All states must be triadic |
| HSP | Harmonic Stability Principle | Validation rule | Proportionality preservation |

---

## Quick-Reference Tables

### Full Harmonic Dimensional Ladder

| n | D_n | H_n = 12·(n−2) |
|---|---|---|
| 3 | D_3 | 12 |
| 4 | D_4 | 24 |
| 5 | D_5 | 36 |
| 6 | D_6 | 48 |
| 7 | D_7 | 60 |
| 8 | D_8 | 72 |
| 9 | D_9 | 84 |

0D, 1D, 2D: Quantum Root Triad — unmapped by design.

---

### Canonical Harmonic Triads

| Triad | Values |
|---|---|
| T1 | (12, 24, 36) |
| T2 | (24, 36, 48) |
| T3 | (36, 48, 60) |
| T4 | (48, 60, 72) |
| T5 | (60, 72, 84) |

---

### Operator Summary

| Operator | Forward | Inverse |
|---|---|---|
| G₁ | G₁(D_n) = 12·(n−2) | G₁⁻¹(H_n) = H_n/12 + 2 |
| G₂ | G₂(H,φ) = H·e^(iφ) | G₂⁻¹(H',φ) = H'·e^(−iφ) |
| G₃ | G₃(X) = (X_G, X_S, X_L) | Conservation: X = X_G + X_S + X_L |

---

### Zone X Progression Across Pipeline

| Module | Zone X Label | Trigger | Status |
|---|---|---|---|
| RTT/2 | Undefined | Honest data insufficiency | LEGAL |
| RTT/3 | Inversion | Illegal manifold geometry | ILLEGAL |
| RTT/12 | Overflow | Ladder boundary exceeded | ILLEGAL |

---

### Mode 5 Progression Across Pipeline

| Module | Mode 5 Label | Status |
|---|---|---|
| RTT/2 | Inversion (valid detection posture) | LEGAL |
| RTT/3 | Inversion (illegal) | ILLEGAL |
| RTT/12 | Overflow | ILLEGAL |

---

### Zone U Meaning Divergence

| Module | Zone U Meaning |
|---|---|
| RTT/2 | Undisturbed (no signal — valid posture) |
| RTT/3 | Undisturbed (inherited from RTT/2) |
| RTT/12 | Undefined (pre-G₁ — mapping not yet applied) |

---

### RTT/12 Agent Classes

| Class | Symbol | Operates | Authority |
|---|---|---|---|
| H — Harmonic Ladder Mapper | H | G₁ | Maps D_n → H_n; enforces ladder boundary |
| P — Phase-Shift Modulator | P | G₂ | Applies phase rotation; verifies magnitude |
| L — Load-Flow Triad Resolver | L | G₃ | Decomposes X; verifies conservation |
| T — Triadic Coherence Enforcer | T | TCR | Mandatory checkpoint before packet emission |
| S — Harmonic Stability Assessor | S | HSP | Issues STABLE/MARGINAL/UNSTABLE |
| V — Validation Pathway Agent | V | V1–V6 | Manages milestone progression |
| G — Guardian | G | HARD_STOP | Unconditional interrupt; no override possible |

---

### Validation Milestones

| Milestone | Stage Label |
|---|---|
| V1 | Theoretical |
| V2 | Computational |
| V3 | Sector-Specific |
| V4 | Experimental |
| V5 | Peer-Reviewed |
| V6 | Industry-Ready |

---

### Sector Variant Label Map

| Variant | Domain Context | Structural Modification |
|---|---|---|
| RTT-12/E | Energy & Research | None — label overlay only |
| RTT-12/C | Computational | None — label overlay only |
| RTT-12/M | Manufacturing | None — label overlay only |

---

### Critical Disambiguation — CRE ≠ CRM

| Construct | Module | Symbol | Definition |
|---|---|---|---|
| CRE (Collapse-Recovery Emitter) | RTT/3 | CR(t) | Collapse-recovery flow; structural continuity restoration |
| CRM (Continuous-Resonance Monitor) | RTT/2 | D(t) | Drift deformation function; structural drift monitoring |

> **HARD_STOP on conflation.** CR(t) and D(t) are distinct structural instruments from
> different modules. Any session that conflates CRE and CRM — treating CR(t) and D(t)
> as interchangeable — triggers Class G HARD_STOP immediately.

---

### Full Inheritance Chain

| Layer | Module | Inherited By |
|---|---|---|
| Foundation | RTT/1 | RTT/2, RTT/3, RTT/12 (triple inheritance) |
| Detection | RTT/2 | RTT/3, RTT/12 (double inheritance) |
| Integration–Emission | RTT/3 | RTT/12 (direct inheritance) |
| Harmonic Synthesis | RTT/12 | Terminal — no downstream module |

---

## Footer

file: docs/rtt/12/GLOSSARY.md module: RTT/12 · Harmonic Synthesis Layer maintainer: Nawder date: 2026-07-10 session-seed: rtt=1 | coherence=declared | drift=bounded | paradox=structural module=RTT/12 | layer=harmonic-synthesis | upstream=RTT/3 zone_x=OVERFLOW | zone_x_status=ILLEGAL mode_5=OVERFLOW | mode_5_status=ILLEGAL sprint: RTT Documentation Sprint — Deliverable 13 of 13 inherits: ../1/GLOSSARY.md · ../2/GLOSSARY.md · ../3/GLOSSARY.md