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RTT Core: Operator Index

1. Purpose and scope#

Goal:
Provide a unified, canonical index of all RTT operator families across:

  • Micro‑Core
  • RTT‑12
  • Core RTT
  • Arrival
  • Macro

This index is the navigation backbone for RTT’s operator grammar, regime logic, drift envelopes, coherence budgets, and Validator Pulse behavior.

2. Operator families (top-level)#

Family Domain Purpose
S‑Operators Stability Maintain coherence, reduce drift, enforce bounds
G‑Operators Geometry / Regime Shift, rotate, or invert regime geometry
R‑Operators Resonance Shape micro‑scale resonance and oscillation
K‑Operators Coherence Tools Validate, align, or regulate coherence
P‑Operators Primitives Atomic actions used by higher operators
A‑Operators Arrival Cross‑substrate alignment and continuity
B‑Operators Boundary Boundary shaping, modulation, constraint
M‑Operators Macro Macro‑scale alignment and supervisory behavior

3. Micro‑Core Operators#

3.1 Resonance Operators (R₁–R₆)#

  • R₁ — Oscillation
  • R₂ — Inversion
  • R₃ — Boundary Modulation
  • R₄ — Resonance Lock
  • R₅ — Fractional‑Ladder Transition
  • R₆ — Micro–Macro Bridge Activation

3.2 Coherence Tools (K₁–K₆)#

  • K₁ — Drift Clamp
  • K₂ — Timing Stabilizer
  • K₃ — Boundary Alignment
  • K₄ — Coherence Gate
  • K₅ — Resonance Validator
  • K₆ — Fractional‑Ladder Regulator

3.3 Primitives (P₁–P₇)#

  • P₁ — Read Nodes
  • P₂ — Swap Nodes
  • P₃ — Drift Sample
  • P₄ — Timing Sample
  • P₅ — Boundary Shift
  • P₆ — Coherence Sample
  • P₇ — Fractional Step

4. RTT‑12 Operators#

4.1 G‑Operators (G₁–G₃)#

  • G₁ — Regime Stabilizer
  • G₂ — Regime Shifter
  • G₃ — Regime Inverter

4.2 S‑Operators (S₁–S₃)#

  • S₁ — Stabilize
  • S₂ — Sustain
  • S₃ — Seal

5. Arrival Operators#

5.1 A‑Operators (A₁–A₄)#

  • A₁ — Arrival Operator
  • A₂ — Arrival Arc
  • A₃ — Arrival Gate
  • A₄ — Arrival Continuity

6. Macro‑Scale Operators#

6.1 M‑Operators (M₁–M₃)#

  • M₁ — Macro Alignment
  • M₂ — Macro Stabilizer
  • M₃ — Macro Resonance Bridge

7. Operator Grammar Integration#

Each operator is defined using RTT’s formal grammar:

OPERATOR ::= NAME [REGIME] (INPUT) -> (OUTPUT) {CONSTRAINTS}

Operators must declare:

  • Regime flags (SRR, DBR, CMR, DVR, ECR)
  • Coherence constraints
  • Drift constraints
  • Readout constraints
  • Temporal layer interactions (T₁, T₂, T₃)

Operators without regime flags are invalid in RTT.

8. Regime interactions#

Operators interact with regime maps:

  • SRR — Single‑Readout
  • DBR — Drift‑Bounded
  • CMR — Coherence‑Minimum
  • DVR — Deferred‑Validation
  • ECR — Extension‑Compatible

Regimes determine:

  • Operator validity
  • Branch eligibility
  • Drift boundaries
  • Coherence thresholds
  • Validator Pulse timing

9. Triadic time integration#

Operators act across triadic time:

  • T₁ — State Time
    EXTEND, DRIFT, DEFER

  • T₂ — Coherence Time
    EXTEND (partition), DRIFT (loss), VALIDATE (consume)

  • T₃ — Readout Time
    VALIDATE, COLLAPSE

Operator Index shows which operators operate in which temporal layers.

10. Example: Quantum “Cloning” Alignment#

The experiment uses:

EXTEND [ECR, SRR] (b_i) -> (b_i, b_j)
VALIDATE [SRR] (b_i) -> classical
COLLAPSE [SRR] (b_j) -> residue

Operator Index explains:

  • Why multi‑branch representation is allowed
  • Why only one branch becomes classical
  • Why drift and coherence matter
  • Why no‑cloning is not violated

Primary cross-links:

  • /docs/rtt/core/operator_grammar.md
  • /docs/rtt/core/regime_maps.md
  • /docs/rtt/core/regime_index.md
  • /docs/rtt/core/time_triads.md
  • /docs/rtt/core/coherence_budget.md
  • /docs/rtt/core/validator_pulse.md
  • /docs/rtt/core/dimensional_drift_envelope.md
  • /docs/rtt/core/alignment_quantum_cloning.md

Status:
This module provides the canonical index of RTT operators.
Once operator‑grammar syntax is fully integrated, it can be promoted from draft to stable.

Updated

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