Regime Entanglement Cases — RTT/1

High‑Coupling Interlock Cases for the Regime Interlock Mapper (RIM)#

Entanglement interlocks represent the strongest form of regime interaction.
Unlike structural or boundary interlocks, entanglement cases exhibit bidirectional influence, non‑decomposability, and coherence‑linked coupling across regimes.

This document provides canonical RTT/1 entanglement cases used by:

RIM‑Entangle
RIM‑Detect
RIM‑Interlock
RIM‑Resolve
TRS (Triadic Regime Synthesizer)
PGA (Paradox Gradient Analyzer)
CTE (Coherence Tensor Engine)

1. Conceptual ↔ Computational Entanglement (R1 ↔ R2)#

Case: Mutual Model Feedback Loop#

Description
Conceptual assumptions shape computational models; computational outputs reshape conceptual assumptions.

Characteristics

bidirectional influence
high coherence dependency
medium stability
feedback‑driven drift sensitivity

RIM Output

{
  "regime_a": "R1",
  "regime_b": "R2",
  "interlock_type": "entanglement",
  "boundary_condition": "mutual-feedback",
  "interlock_strength": 0.91,
  "entanglement_score": 0.88,
  "stability_rating": 0.52
}

2. Physical ↔ Dimensional Entanglement (R3 ↔ R4)#

Case: Resonance‑Coherence Coupling#

Description
Physical resonance patterns influence dimensional coherence; dimensional coherence alters physical resonance.

Characteristics

resonance amplification
coherence curvature
high entanglement
medium stability

RIM Output

{
  "regime_a": "R3",
  "regime_b": "R4",
  "interlock_type": "entanglement",
  "boundary_condition": "resonance-coherence",
  "interlock_strength": 0.93,
  "entanglement_score": 0.91,
  "stability_rating": 0.49
}

3. Computational ↔ Physical Entanglement (R2 ↔ R3)#

Case: Drift‑Amplification Loop#

Description
Computational drift increases physical drift sensitivity; physical drift feeds back into computational drift envelopes.

Characteristics

drift amplification
instability ridge formation
medium‑high entanglement
low stability

RIM Output

{
  "regime_a": "R2",
  "regime_b": "R3",
  "interlock_type": "entanglement",
  "boundary_condition": "drift-amplification",
  "interlock_strength": 0.87,
  "entanglement_score": 0.72,
  "stability_rating": 0.41
}

4. Conceptual ↔ Dimensional Entanglement (R1 ↔ R4)#

Case: Coherence‑Gradient Coupling#

Description
Conceptual coherence gradients align with dimensional coherence gradients, forming a multi‑layer coherence ridge.

Characteristics

coherence gradient alignment
medium entanglement
high stability
low drift

RIM Output

{
  "regime_a": "R1",
  "regime_b": "R4",
  "interlock_type": "entanglement",
  "boundary_condition": "coherence-gradient",
  "interlock_strength": 0.76,
  "entanglement_score": 0.35,
  "stability_rating": 0.68
}

5. Tri‑Regime Entanglement (R1 ↔ R2 ↔ R3)#

Case: Coherence Tensor Binding#

Description
A multi‑regime coherence tensor binds conceptual, computational, and physical coherence into a unified structure.

Characteristics

multi‑regime tensor
high coherence dependency
high entanglement
medium stability

RIM Output

{
  "regime_a": "R1",
  "regime_b": "R2",
  "regime_c": "R3",
  "interlock_type": "entanglement",
  "boundary_condition": "coherence-tensor",
  "interlock_strength": 0.94,
  "entanglement_score": 0.89,
  "stability_rating": 0.57
}

6. Dimensional Tensor Entanglement (R2 ↔ R4)#

Case: Dimensional Tensor Constraint#

Description
Dimensional tensors constrain computational pathways, forcing coherence‑aligned computational structures.

Characteristics

tensor constraint
medium‑high entanglement
medium stability
coherence‑driven structure

RIM Output

{
  "regime_a": "R2",
  "regime_b": "R4",
  "interlock_type": "entanglement",
  "boundary_condition": "dimensional-tensor",
  "interlock_strength": 0.88,
  "entanglement_score": 0.72,
  "stability_rating": 0.63
}

7. Entanglement Case Matrix Snippet#

{
  "regime_a": "R3",
  "regime_b": "R4",
  "interlock_type": "entanglement",
  "boundary_condition": "resonance-coherence",
  "interlock_strength": 0.93,
  "entanglement_score": 0.91,
  "stability_rating": 0.49
}

Status#

Version: 1.0
Status: canon‑stable
Category: rtt‑structural
Module Path: /docs/rtt/Regime_Interlock_Mapper/

Updated Jul 8, 2026