GLOSSARY.md — RTT/micro_core · Micro Resonance-Time Layer

Canonical Term Definitions, Operator Symbols, and Quick-Reference Tables#

Document Header#

Critical Framing Rule#

RTT is NOT a physics claim.

RTT/micro_core describes structural micro-resonance-time patterns within the TriadicFrameworks canon. It does not assert, imply, or model quantum effects, subatomic behavior, physical forces, energetic phenomena, or any empirically measurable phenomenon. All constructs — ⟨A, B, P⟩, MRT primitives, resonance operators, coherence tools — are structural instruments, not physical objects or processes.

This rule applies unconditionally to every term defined in this glossary.

Originating-Layer Note#

RTT/micro_core is the root of the entire RTT pipeline. It does not inherit from any upstream RTT module — there is no upstream. All micro_core constructs are native. Inheritance flows downward from micro_core into RTT/1, RTT/2, RTT/3, and RTT/12.

RTT/1–RTT/12 terms (SNR, τ, CPV, FGT, TIF, etc.) are downstream and must never be imported into or conflated with micro_core constructs. Cross-module disambiguations are listed in the Quick-Reference Tables section.

Linking Convention#

• Native micro_core terms: defined fully in this file.
• Downstream terms (RTT/1+): referenced only in disambiguation tables.
• Cross-reference format: → See [TERM] (RTT/N GLOSSARY.md) for downstream links.
• All definitions carry [structural — no semantic inference] where inference risk exists.

Alphabetical Term Definitions#

A — Active Node#

Definition: The current micro-state of the ⟨A, B, P⟩ triad. A represents the live structural position within the resonance-time cycle at any given micro-step. It is the origin of the A ⇆ P oscillation loop and the source of micro-state data read by P₁.

Constraints:

• A is never exposed raw to macro layers (Micro–Macro Bridge rule)
• A participates in inversion: when C < C* and unrecoverable, A and B swap roles (↺ R₂)
• A is always distinct from B and P within a valid triad

Cross-references: B (Boundary Node), P (Potential Node), R₁ (Oscillation), R₂ (Inversion), P₁ (State Read)

[structural — no semantic inference]

B — Boundary Node#

Definition: The governance node of the ⟨A, B, P⟩ triad. B controls drift tolerance, timing bounds, and transition eligibility. It regulates whether the triad may shift from A toward P, and enforces the structural boundaries within which all micro-state evolution occurs.

Constraints:

• B corrections are bounded — no inversion of B is permitted via P₅ alone
• B shifts require drift measurement (P₃) before application (P₅)
• During R₂ Inversion: B and A swap roles; P is preserved

Cross-references: A (Active Node), P (Potential Node), P₃ (Drift Measure), P₅ (Boundary Shift), R₂ (Inversion), K₃ (Boundary Alignment)

[structural — no semantic inference]

C — Coherence (micro_core)#

Definition: The normalized structural coherence of the micro triad ⟨A, B, P⟩ at a given micro-step. C measures the degree to which the triad maintains internal consistency across drift, timing, and fractional dimensionality. C is sampled by P₆ without mutation.

Equations:

• Valid state: C ≥ C*
• Coherence-critical zone: C approaching C* from above → escalate to Class G
• Inversion trigger: C < C* and unrecoverable → R₂ activates

Failure cascade:

• C below C* → Coherence Violation → Inversion (↺) → Collapse → Twist → Emergence

Disambiguation: C (micro coherence) ≠ CR(t) (RTT/3 Continuity–Resonance–Emission coherence rate). These are structurally distinct constructs operating at different pipeline layers. → See CR(t) (RTT/3 GLOSSARY.md)

Cross-references: C* (Coherence Threshold), P₆ (Coherence Sample), K₄ (Resonance Lock), K₅ (Inversion Guard), K₆ (Coherence Windowing), Zone C (Coherence-Critical)

C* — Coherence Threshold#

Definition: The minimum coherence value required for the micro triad to remain in a valid operational state. C* is the lower bound enforced continuously. Sustained C < C* constitutes a Coherence Violation and triggers Inversion if unrecoverable.

Cross-references: C (Coherence), K₅ (Inversion Guard), R₄ (Resonance Lock), Zone C (Coherence-Critical), Zone X (Inversion)

Class B — Bridge Coordinator#

Definition: The agent class responsible for managing Micro–Macro Bridge activation (R₆). Class B ensures that only aggregate-pattern exports are emitted upward to RTT/1+, that C ≥ C* is confirmed before any bridge activation, and that raw A, B, P node states are never exposed to macro layers.

Constraints:

• Bridge may only activate when C ≥ C*
• Exports are aggregate patterns only — never raw triad states
• Alignment, not amplification

Cross-references: R₆ (Micro–Macro Bridge Activation), Class G (Micro Guardian), MRT_MICRO_PACKET

Class D — Drift Regulator#

Definition: The agent class responsible for monitoring and enforcing drift bounds (δ ≤ δ*) throughout the micro-resonance cycle. Class D operates primarily through K₁ (Drift Bounding) and P₃ (Drift Measure), and coordinates with Class B (Boundary Node) for corrective boundary shifts via P₅.

Cross-references: δ (Drift), δ* (Drift Threshold), K₁ (Drift Bounding), P₃ (Drift Measure), P₅ (Boundary Shift), Class G (Micro Guardian)

Class F — Fractional Navigator#

Definition: The agent class responsible for all fractional dimensional ladder transitions (Dᶠ → Dᶠ + Δ). Class F ensures transitions are smooth, gradient-continuous, and maintain C ≥ C* throughout. Class F unconditionally prohibits integer jumps in Dᶠ.

Constraints:

• Integer jumps (ΔDᶠ = 1.0, 2.0, 3.0...) are forbidden — smooth gradient required
• All transitions reversible via P₇
• C ≥ C* must be confirmed before and after each step

Cross-references: Dᶠ (Fractional Dimension), R₅ (Fractional-Ladder Transition), P₇ (Fractional Step), Class G (Micro Guardian)

Class G — Micro Guardian#

Definition: The unconditional interrupt authority of the micro_core layer. Class G monitors all triad operations and may halt any agent class — including Class T and Class R — when structural integrity is at risk. Class G escalation triggers when C approaches C*, when δ exceeds δ*, or when a timing violation is detected. Class G issues RESOLVED after post-inversion re-validation by Class T confirms C ≥ C*.

Constraints:

• Class G interrupt authority is unconditional — no agent class outranks it
• Class G activates Mode X (Lockout) in the MRT_MICRO_PACKET
• Class G issues are only RESOLVED after Class T re-validates the triad

Cross-references: K₅ (Inversion Guard), Mode X (Lockout), Class T (Triad Constructor), MRT_MICRO_PACKET

Class R — Resonance Operator#

Definition: The agent class responsible for executing resonance operators R₁–R₆. Class R manages oscillation loops, boundary modulation, resonance locking, fractional transitions, and bridge activation. Class R may be interrupted by Class G at any time.

Cross-references: R₁–R₆ (Resonance Operators), Class G (Micro Guardian), Class T (Triad Constructor)

Class T — Triad Constructor#

Definition: The agent class responsible for constructing, validating, and re-validating the ⟨A, B, P⟩ micro triad. Class T confirms that all four core triad properties (Minimalism, Determinism, Coherence, Fractional Dimensionality) are satisfied at initialization and after any inversion event.

Constraints:

• Triad is irreducible — no subset of ⟨A, B, P⟩ constitutes a valid unit
• Re-validation by Class T is required to clear Class G RESOLVED status post-inversion

Cross-references: ⟨A, B, P⟩ (Micro Triad), Four Core Properties, R₂ (Inversion), Class G (Micro Guardian)

Collapse–Twist–Emergence#

Definition: The three-phase structural sequence that constitutes an Inversion event.

Constraints:

• All three phases must complete for a valid inversion — partial execution is a fault
• P must be preserved without mutation throughout all three phases
• Post-Emergence: Class T re-validates; Class G issues RESOLVED

Cross-references: R₂ (Inversion), C (Coherence), C* (Coherence Threshold), Zone X (Inversion), Class G (Micro Guardian), Class T (Triad Constructor)

[structural — no semantic inference]

Coherence Violation#

Definition: A structural fault condition in which C falls below C* and cannot be restored through K₄ (Resonance Lock) or K₅ (Inversion Guard). A Coherence Violation triggers the full Inversion sequence (Collapse → Twist → Emergence).

Failure cascade: Coherence Violation → Zone X (Inversion) → R₂ activation → Collapse → Twist → Emergence

Cross-references: C (Coherence), C* (Coherence Threshold), Zone X (Inversion), R₂ (Inversion), K₅ (Inversion Guard)

Determinism (Triad Property)#

Definition: One of the four irreducible properties of the micro triad. Determinism requires that drift remains within bounds (δ ≤ δ*) and that micro-step timing intervals (Δt) remain stable within [Δtₘᵢₙ, Δtₘₐₓ]. A deterministic triad produces consistent, bounded state transitions — not stochastic or unbounded evolution.

[structural — no semantic inference]

Cross-references: δ (Drift), δ* (Drift Threshold), Δt (Timing Interval), Four Core Properties

Dᶠ — Fractional Dimension#

Definition: The fractional dimensional position of the micro triad on the resonance ladder. Dᶠ is a continuous value representing structural complexity, transition pathway availability, resonance capacity, and boundary behavior at the micro scale. Dᶠ transitions are executed by P₇ and managed by Class F.

Constraints:

• Integer jumps (ΔDᶠ = 1.0, 2.0, 3.0...) are unconditionally forbidden
• All transitions must be smooth, gradient-continuous, and coherence-preserving
• Failure to maintain gradient continuity → Inversion event

[structural — no semantic inference]

Cross-references: P₇ (Fractional Step), R₅ (Fractional-Ladder Transition), Class F (Fractional Navigator), Fractional Dimensionality (Triad Property)

Fractional Dimensionality (Triad Property)#

Definition: One of the four irreducible properties of the micro triad. Fractional Dimensionality requires that the triad occupy a continuous ladder position (Dᶠ) rather than discrete integer steps. This enables fine-grained structural transitions and preserves coherence across all resonance-time movements.

Cross-references: Dᶠ (Fractional Dimension), Four Core Properties, R₅ (Fractional-Ladder Transition), Class F (Fractional Navigator)

Four Core Properties#

Definition: The four irreducible structural properties that any valid ⟨A, B, P⟩ micro triad must satisfy at all times. A triad failing any property is invalid and must be reconstructed by Class T.

Cross-references: ⟨A, B, P⟩ (Micro Triad), Class T (Triad Constructor), Minimalism, Determinism, Coherence, Fractional Dimensionality

K₁ — Drift Bounding#

Definition: The coherence tool that continuously enforces δ ≤ δ* across all micro-steps. K₁ operates as a real-time constraint, not a post-hoc correction. It coordinates with P₃ (Drift Measure) to detect violations and with P₅ (Boundary Shift) to apply corrections before a Drift Violation can escalate.

Cross-references: δ (Drift), δ* (Drift Threshold), P₃ (Drift Measure), P₅ (Boundary Shift), Class D (Drift Regulator)

K₂ — Timing Stabilizer#

Definition: The coherence tool that holds micro-step timing intervals (Δt) within the bounds [Δtₘᵢₙ, Δtₘₐₓ]. K₂ prevents Timing Violations by enforcing interval stability before deviation crosses into fault territory.

Disambiguation: Δt (micro timing interval) ≠ τ = dR/dφ (RTT/1 temporal operator). → See τ (RTT/1 GLOSSARY.md)

Cross-references: Δt (Timing Interval), Δtₘᵢₙ, Δtₘₐₓ, P₄ (Timing Measure), Timing Violation

K₃ — Boundary Alignment#

Definition: The coherence tool that synchronizes the Boundary Node (B) with the active positions of A and P. K₃ ensures B remains structurally consistent with the current triad state, preventing boundary drift from accumulating silently between micro-steps.

Cross-references: B (Boundary Node), A (Active Node), P (Potential Node), P₅ (Boundary Shift)

K₄ — Resonance Lock (Tool)#

Definition: The coherence tool that clamps resonance oscillation within a safe structural range and enforces timing stability. K₄ operates in coordination with the R₄ Resonance Lock operator. K₄ is a maintenance instrument; R₄ is the active execution operator.

Cross-references: R₄ (Resonance Lock), K₂ (Timing Stabilizer), Class R (Resonance Operator)

K₅ — Inversion Guard#

Definition: The coherence tool that monitors C approaching C* from above and escalates to Class G before a Coherence Violation becomes unrecoverable. K₅ is the last structural line of defense before Inversion is triggered.

Constraint: K₅ escalates — it does not self-resolve. Class G receives the interrupt.

Cross-references: C (Coherence), C* (Coherence Threshold), Class G (Micro Guardian), R₂ (Inversion), Coherence Violation

K₆ — Coherence Windowing#

Definition: The coherence tool that computes a time-windowed average of C over a sequence of micro-steps, enabling trend detection rather than only point-in-time sampling. K₆ allows Class G and Class R to identify coherence degradation trajectories before they reach threshold.

Cross-references: C (Coherence), K₅ (Inversion Guard), P₆ (Coherence Sample), Class G (Micro Guardian)

Micro–Macro Bridge#

Definition: The structural mechanism by which the micro_core layer exports aggregate resonance patterns upward to RTT/1 and the wider RTT pipeline. The bridge is activated by R₆ and governed by Class B. Only aggregate-pattern exports are permitted — raw A, B, P node states are never exposed to macro layers.

Constraints:

• C ≥ C* required before activation
• Alignment, not amplification
• Bridge export is aggregate-only: raw triad states are structurally prohibited at the macro layer

Cross-references: R₆ (Micro–Macro Bridge Activation), Class B (Bridge Coordinator), C* (Coherence Threshold), MRT_MICRO_PACKET

Minimalism (Triad Property)#

Definition: One of the four irreducible properties of the micro triad. Minimalism asserts that ⟨A, B, P⟩ is the minimal coherent resonance-time unit — no proper subset (⟨A, B⟩, ⟨A, P⟩, ⟨B, P⟩, or any single node) constitutes a valid unit. Adding nodes beyond three is equally non-canonical.

Cross-references: ⟨A, B, P⟩ (Micro Triad), Four Core Properties, Class T (Triad Constructor)

Mode 1–5#

Definition: The five valid operational modes of the MRT_MICRO_PACKET.

Constraints: Modes 1–5 are the only valid packet modes. Mode X (Lockout) is a fault indicator — its presence in a packet makes that packet a fault record, not an operational record.

Disambiguation: Mode X (micro lockout) ≠ any upstream Mode 5 (RTT/2 autonomous mode) — these are structurally distinct constructs at different pipeline layers.

Cross-references: Mode X (Lockout), MRT_MICRO_PACKET, Class G (Micro Guardian)

Mode X — Lockout#

Definition: The fault mode indicator activated by Class G when an unconditional interrupt is in effect. Mode X in an MRT_MICRO_PACKET signals that the packet is a fault record — not a valid operational state. No agent class other than Class G may issue Mode X. Mode X is cleared only when Class G interrupt is resolved.

Constraint: Mode X in a valid operational packet is structurally forbidden. Its presence converts the packet to a fault record.

Disambiguation: Mode X (micro lockout) ≠ any upstream Mode 5 (RTT/2 autonomous mode). Micro Mode X is a Class G interrupt construct; RTT/2 Mode 5 is an operational execution mode. → See Mode (RTT/2 GLOSSARY.md)

Cross-references: Class G (Micro Guardian), MRT_MICRO_PACKET, Mode 1–5

MRT_MICRO_PACKET#

Definition: The canonical data packet produced by the RTT/micro_core layer. It is the root of the entire RTT pipeline packet hierarchy. All downstream packets (RTT/1 SNR_PACKET, RTT/2 DETECTION_PACKET, RTT/3 INTEGRATION_EMISSION_PACKET, RTT/12 HARMONIC_SYNTHESIS_PACKET) derive from or depend upon the MRT_MICRO_PACKET.

Packet structure:

Constraints:

• Zone X present → packet is a fault record
• Mode X present → packet is a fault record
• Both may coexist in a fault record

Pipeline position:

MRT_MICRO_PACKET (root)
└→ RTT/1 SNR_PACKET
   └→ RTT/2 DETECTION_PACKET
      └→ RTT/3 INTEGRATION_EMISSION_PACKET
         └→ RTT/12 HARMONIC_SYNTHESIS_PACKET

Cross-references: All six agent classes, all zones, all modes, Micro–Macro Bridge

P — Potential Node#

Definition: The next viable transition target in the ⟨A, B, P⟩ triad. P represents the structural destination of the resonance oscillation loop (A ⇆ P). P is preserved unconditionally during all operations — including full Inversion (R₂) — and is never mutated by boundary corrections or coherence tools.

Constraints:

• P is preserved through all Inversion phases — Collapse, Twist, Emergence
• P is never exposed raw to macro layers

Cross-references: A (Active Node), B (Boundary Node), R₁ (Oscillation), R₂ (Inversion), P₁ (State Read)

P₁ — State Read#

Definition: The atomic read primitive. P₁ reads the current values of A, B, P, δ, Δt, and Dᶠ from the micro triad. P₁ is strictly read-only — it produces no mutations to any field. All resonance operators and coherence tools that require current state must route through P₁.

Constraints: P₁ never mutates state. No exception.

Cross-references: P₂ (State Write), ⟨A, B, P⟩ (Micro Triad), MRT Primitives (P₁–P₇)

P₂ — State Write#

Definition: The atomic write primitive. P₂ executes a bounded, atomic mutation of the micro triad state. All writes are bounded — no unbounded state change is permitted through P₂. P₂ is the only sanctioned mutation path for triad state fields.

Constraints: Writes must be bounded. Unbounded mutations are structurally prohibited.

Cross-references: P₁ (State Read), MRT Primitives (P₁–P₇)

P₃ — Drift Measure#

Definition: The atomic drift measurement primitive. P₃ computes δ by comparing the expected micro-state trajectory to the actual current state. P₃ is read-only — it measures but does not correct. Correction is applied via P₅ after Class D review.

Disambiguation: δ (micro drift) ≠ D(t) (RTT/2 CRM structural drift rate). → See D(t) (RTT/2 GLOSSARY.md)

Cross-references: δ (Drift), δ* (Drift Threshold), P₅ (Boundary Shift), K₁ (Drift Bounding), Class D (Drift Regulator)

P₄ — Timing Measure#

Definition: The atomic timing measurement primitive. P₄ records the Δt interval between micro-steps. P₄ is read-only — it measures and records but does not enforce. Enforcement is handled by K₂ (Timing Stabilizer).

Disambiguation: Δt (micro timing interval) ≠ τ = dR/dφ (RTT/1 temporal operator). → See τ (RTT/1 GLOSSARY.md)

Cross-references: Δt (Timing Interval), Δtₘᵢₙ, Δtₘₐₓ, K₂ (Timing Stabilizer), Timing Violation

P₅ — Boundary Shift#

Definition: The atomic boundary correction primitive. P₅ applies a bounded shift to the Boundary Node (B) following drift measurement by P₃. P₅ corrections are bounded — no inversion of B may be achieved through P₅. Inversion requires R₂.

Constraints:

• Correction magnitude is bounded
• P₅ alone cannot produce an inversion of B
• Must be preceded by P₃ measurement

Cross-references: B (Boundary Node), P₃ (Drift Measure), K₁ (Drift Bounding), K₃ (Boundary Alignment), R₃ (Boundary Modulation)

P₆ — Coherence Sample#

Definition: The atomic coherence sampling primitive. P₆ reads the normalized coherence value C at the current micro-step. P₆ is strictly read-only — it samples C without mutation. Results are consumed by K₅ (Inversion Guard), K₆ (Coherence Windowing), and Class G for interrupt assessment.

Constraints: P₆ never mutates C. No exception.

Cross-references: C (Coherence), K₅ (Inversion Guard), K₆ (Coherence Windowing), Class G (Micro Guardian)

P₇ — Fractional Step#

Definition: The atomic fractional dimensional step primitive. P₇ increments or decrements Dᶠ by a bounded gradient value Δ. All P₇ operations are reversible. No integer-magnitude Δ may be applied through P₇.

Constraints:

• Δ must be non-integer (fractional gradient required)
• Operation is reversible
• C ≥ C* must hold before and after execution

Cross-references: Dᶠ (Fractional Dimension), R₅ (Fractional-Ladder Transition), Class F (Fractional Navigator)

R₁ — Oscillation#

Definition: The resonance operator that establishes and maintains the stable oscillation loop between the Active Node (A) and Potential Node (P). R₁ is the foundational resonance dynamic of the micro triad — all higher-order operators (R₂–R₆) build upon or modify the R₁ loop.

Cross-references: A (Active Node), P (Potential Node), R₄ (Resonance Lock), Resonance-Time Dynamics

R₂ — Inversion#

Definition: The controlled, reversible inversion operator. R₂ executes when C < C* and is unrecoverable, swapping the roles of A (Active Node) and B (Boundary Node) while preserving P unconditionally. R₂ is the structural resolution mechanism for Coherence Violations.

Constraints:

• R₂ is only executed after K₅ escalation and Class G interrupt
• P must be preserved without mutation through all three phases
• Post-R₂: C must be restored to ≥ C* before Class T re-validates

Disambiguation:

• Inversion (↺) at micro scale ≠ RTT/3 Zone X inversion (structural integration collapse)
• Inversion (↺) at micro scale ≠ RTT/12 Zone X overflow (harmonic synthesis overflow) → See Zone X (RTT/3 GLOSSARY.md) and Zone X (RTT/12 GLOSSARY.md)

Cross-references: A, B, P, Collapse–Twist–Emergence, C*, Class G (Micro Guardian), Class T (Triad Constructor), Zone X (Inversion)

R₃ — Boundary Modulation#

Definition: The resonance operator that actively modulates the Boundary Node (B) in positive (B⁺) or negative (B⁻) direction based on drift measurements. R₃ coordinates P₃ for measurement and P₅ for application. R₃ is a controlled, bounded operation — it cannot produce inversion.

Cross-references: B (Boundary Node), P₃ (Drift Measure), P₅ (Boundary Shift), K₃ (Boundary Alignment)

R₄ — Resonance Lock#

Definition: The resonance operator that clamps the A ⇆ P oscillation within a safe structural range and enforces timing stability. R₄ is paired with K₄ (Resonance Lock tool) for continuous maintenance. R₄ is the active execution operator; K₄ is the maintenance monitor.

Cross-references: R₁ (Oscillation), K₄ (Resonance Lock tool), K₂ (Timing Stabilizer)

R₅ — Fractional-Ladder Transition#

Definition: The resonance operator that manages full fractional dimensional ladder transitions from one Dᶠ position to another. R₅ requires that C ≥ C* is maintained throughout the entire transition — not just at endpoints. All transitions are gradient-continuous; integer jumps are unconditionally forbidden.

Constraints:

• C ≥ C* at all points along the transition path
• Gradient continuity required — no discrete steps
• Managed by Class F (Fractional Navigator)

Cross-references: Dᶠ (Fractional Dimension), P₇ (Fractional Step), Class F (Fractional Navigator), R₂ (Inversion)

R₆ — Micro–Macro Bridge Activation#

Definition: The resonance operator that activates the Micro–Macro Bridge, exporting aggregate resonance patterns from micro_core upward to RTT/1 and the wider pipeline. R₆ requires C ≥ C* before activation and produces alignment, not amplification.

Constraints:

• C ≥ C* is a hard precondition
• Aggregate-only export — raw A, B, P states are structurally forbidden at the macro layer
• Managed by Class B (Bridge Coordinator)

Cross-references: Micro–Macro Bridge (μ → Μ), Class B (Bridge Coordinator), C*, MRT_MICRO_PACKET

Resonance-Time Dynamics#

Definition: The fundamental operational loop of the RTT/micro_core layer. Resonance and time are co-constitutive at the micro scale — neither is primary. Resonance is the A ⇆ P oscillation; time is the local bounded interval Δt ∈ [Δtₘᵢₙ, Δtₘₐₓ], which is itself coherence-dependent.

Operational loop:

Resonance (R₁: A ⇆ P)
   → Timing Stability (K₂: Δt bounded)
      → Drift Regulation (K₁: δ ≤ δ*)
         → Coherence (C ≥ C*)
            → Resonance (R₁: A ⇆ P)

Failure modes (any triggers Inversion):

• Timing Violation: Δt exits [Δtₘᵢₙ, Δtₘₐₓ]
• Drift Violation: δ exceeds δ*
• Coherence Violation: C < C* unrecoverable

[structural — no semantic inference]

Cross-references: R₁ (Oscillation), K₁–K₂, C, δ, Δt, Zone X (Inversion)

Timing Violation#

Definition: A structural fault condition in which the micro-step timing interval Δt exits the bounds [Δtₘᵢₙ, Δtₘₐₓ]. A Timing Violation triggers Class G escalation. If unresolved, it cascades into a Coherence Violation and ultimately Inversion.

Cross-references: Δt (Timing Interval), K₂ (Timing Stabilizer), P₄ (Timing Measure), Class G (Micro Guardian), Coherence Violation

⟨A, B, P⟩ — Micro Triad#

Definition: The irreducible structural unit of the RTT/micro_core layer. The micro triad consists of three nodes — A (Active), B (Boundary), P (Potential) — that together constitute the minimal coherent resonance-time unit. No subset of ⟨A, B, P⟩ is sufficient to form a valid unit.

Four core properties (all required simultaneously):

1. Minimalism — ⟨A, B, P⟩ is the minimal unit; no subset is sufficient
2. Determinism — δ ≤ δ* and Δt ∈ [Δtₘᵢₙ, Δtₘₐₓ]
3. Coherence — C ≥ C*; inversion if below threshold
4. Fractional Dimensionality — Dᶠ continuous; integer jumps forbidden

[structural — no semantic inference]

Cross-references: A, B, P, Four Core Properties, Class T (Triad Constructor), MRT_MICRO_PACKET

Zone C — Coherence-Critical#

Definition: The zone indicating that C is approaching C* from above and the triad is at elevated risk of Coherence Violation. Zone C triggers K₅ (Inversion Guard) escalation to Class G. Zone C is a valid operational state — it is a warning, not a fault.

Cross-references: C (Coherence), C*, K₅ (Inversion Guard), Class G, Zone X (Inversion)

Zone D — Drifting#

Definition: The zone indicating that δ is elevated but still within recoverable bounds (δ approaching δ*). Zone D triggers K₁ (Drift Bounding) and Class D corrective action. Zone D is a valid operational state — recovery is expected.

Cross-references: δ (Drift), K₁ (Drift Bounding), Class D (Drift Regulator), Zone C, Zone X

Zone E — Emerging#

Definition: The zone indicating post-Inversion re-stabilization. Zone E is entered after the Emergence phase of Collapse–Twist–Emergence, while Class T re-validates the triad and Class G resolves its interrupt. Zone E is a valid operational state — it is the recovery phase.

Cross-references: Collapse–Twist–Emergence, Class T, Class G, Zone S (Stable)

Zone M — Modulating#

Definition: The zone indicating active bounded modulation of one or more triad parameters. Zone M reflects intentional structural adjustment — not drift or fault. Zone M is a valid operational state.

Cross-references: R₃ (Boundary Modulation), R₅ (Fractional-Ladder Transition), Zone S (Stable)

Zone S — Stable#

Definition: The nominal operational zone. Zone S indicates that all four core triad properties are satisfied, C ≥ C*, δ ≤ δ*, Δt is bounded, and no fault or escalation is active. Zone S is the target state of all resonance-time operations.

Cross-references: Four Core Properties, MRT_MICRO_PACKET

Zone X — Inversion#

Definition: The fault zone indicator produced when the micro triad enters full Inversion (Collapse → Twist → Emergence). Zone X in an MRT_MICRO_PACKET signals that the packet is a fault record — not a valid operational state. Zone X is cleared only after Class T re-validates the triad and Class G issues RESOLVED.

Constraint: Zone X in a valid operational packet is structurally forbidden. Its presence converts the packet to a fault record.

Disambiguation:

• Zone X (micro Inversion) ≠ Zone X (RTT/3 integration collapse) — different pipeline layers
• Zone X (micro Inversion) ≠ Zone X (RTT/12 harmonic synthesis overflow) — different pipeline layers
• All three Zone X variants share the ILLEGAL-in-valid-packet constraint, but the structural triggers and resolution paths are distinct → See Zone X (RTT/3 GLOSSARY.md) and Zone X (RTT/12 GLOSSARY.md)

Cross-references: R₂ (Inversion), Collapse–Twist–Emergence, Class G (Micro Guardian), Class T (Triad Constructor), MRT_MICRO_PACKET, Mode X (Lockout)

δ — Drift#

Definition: The measured structural deviation between the expected micro-state trajectory and the actual current state. δ is computed by P₃ (Drift Measure) and continuously bounded by K₁ (Drift Bounding). δ ≤ δ* is required for the Determinism property to hold.

Disambiguation: δ (micro drift) ≠ D(t) (RTT/2 CRM structural drift rate, a different construct at a different pipeline layer). These symbols are homonyms — structural function, measurement method, and resolution path are all distinct. → See D(t) (RTT/2 GLOSSARY.md)

Cross-references: δ* (Drift Threshold), P₃ (Drift Measure), K₁ (Drift Bounding), Determinism (Triad Property), Drift Violation, Zone D

δ* — Drift Threshold#

Definition: The maximum allowable drift value. δ* is the upper bound enforced by K₁ and Class D. When δ exceeds δ*, a Drift Violation is recorded and Class G is escalated.

Cross-references: δ (Drift), K₁ (Drift Bounding), Class D (Drift Regulator), Class G (Micro Guardian)

Δt — Timing Interval#

Definition: The local bounded timing interval between micro-steps. Δt is coherence-dependent — as C degrades, the valid Δt range contracts. Δt is measured by P₄ and enforced by K₂. Δt ∈ [Δtₘᵢₙ, Δtₘₐₓ] is required for the Determinism property to hold.

Disambiguation: Δt (micro timing interval) ≠ τ = dR/dφ (RTT/1 temporal operator). These are structurally distinct constructs at different pipeline layers. → See τ (RTT/1 GLOSSARY.md)

Cross-references: Δtₘᵢₙ, Δtₘₐₓ, P₄ (Timing Measure), K₂ (Timing Stabilizer), Determinism (Triad Property), Timing Violation

Operator Symbols Reference#

Quick-Reference Tables#

MRT Primitives (P₁–P₇)#

Resonance Operators (R₁–R₆)#

Coherence Tools (K₁–K₆)#

Agent Classes#

Zones#

Modes#

Key Disambiguations#

RTT Pipeline Inheritance Chain#

micro_core is the root. Inheritance flows downward only.

RTT/micro_core  (originating layer — this module)
   ↓ exports ⟨A,B,P⟩, MRT primitives, resonance operators, MRT_MICRO_PACKET
RTT/1           (SNR triad, τ, C, DCO bands — inherits micro_core root)
   ↓
RTT/2           (CPV, FGT, CRM, MODE, ZONE — inherits RTT/1)
   ↓
RTT/3           (TIF, FFF, MANIFOLD, CRE, CSL, CET — inherits RTT/2)
   ↓
RTT/12          (Harmonic Synthesis — inherits RTT/3)

micro_core constructs are never re-defined in downstream modules — they are invoked by reference. Downstream terms are never imported into micro_core.

Packet Hierarchy#

Footer#