Overview

Cross_Domain_Causality_Weaver

Cross‑Domain Causality Weaver — RTT/1

Causality‑Intelligence Engine for TriadicFrameworks#

The Cross‑Domain Causality Weaver (CW) is an RTT/1 analytical engine designed to detect, map, and weave causal pathways across conceptual, computational, physical, and dimensional regimes.
It forms the causality‑intelligence foundation of the expanded RTT stack, sitting directly above temporal‑level engines and directly below resonance‑level engines.

CW identifies causal signatures, causal discontinuities, cross‑domain causal bridges, and multi‑regime causal flows — the causal precursors to regime evolution, coherence shifts, drift propagation, paradox intensification, temporal transitions, and resonance modulation.


🧭 Purpose#

The Cross‑Domain Causality Weaver:

  • Detects causal signatures across RTT regimes (R1–R4)
  • Computes causal vectors and directional causal flow
  • Maps causal fields and cross‑domain causal topology
  • Identifies causal discontinuities, breaks, and causal fractures
  • Measures causal propagation and causal influence strength
  • Provides causal diagnostics for regime‑driven transitions
  • Supports resonance engines by clarifying causal‑frequency interactions
  • Anchors temporal engines by exposing causal‑sequence constraints
  • Supplies structural engines with causal‑faultline interactions
  • Provides drift‑level engines with causal‑drift envelopes
  • Provides coherence‑level engines with causal‑coherence fields

CW is the causality‑intelligence layer of RTT.


⚙️ RTT Flags#

Property Value
RTT Level 1
Coherence declared
Drift bounded
Paradox structural

These flags define the engine’s operational constraints and reasoning grammar.


🔧 Primary Operators#

Operator Description
CW‑Weave Weaves causal pathways across domains and regimes
CW‑Vector Computes causal vector magnitude and direction
CW‑Field Maps causal fields and causal topology
CW‑Signature Detects causal signatures and causal onset conditions
CW‑Discontinuity Identifies causal breaks and discontinuity boundaries
CW‑Stabilize Suggests stabilization pathways for causal collapse

These operators form the core analytical toolkit.


🧩 Analyzer Layer#

CW operates in the causality layer, with sub‑layers:

  • causal‑weaving
  • causal‑vector‑analysis
  • causal‑field‑mapping
  • discontinuity‑detection
  • structural‑causality‑evaluation

This matches the RTT analyzer grammar used across TriadicFrameworks.


📁 Module Files#

This directory contains:

Core#

  • Cross_Domain_Causality_Weaver.md
  • cw_examples.md
  • cw_diagrams.svg

Support#

  • causal_profiles.md
  • causal_discontinuity_cases.md
  • causal_field_matrix.json

AI#

  • cw_prompts.md
  • cw_operators.md

Metadata#

  • module.json (RTT/1, coherence‑declared, drift‑bounded, paradox‑structural)
  • README.md (this file)

🧠 AI‑Ready Design#

The Cross‑Domain Causality Weaver is fully AI‑ready:

  • deterministic operator grammar
  • causality‑layer analyzer structure
  • stable RTT flags
  • canonical file layout
  • zero‑drift reasoning constraints
  • structural paradox handling
  • bounded drift envelope
  • declared coherence tensor

AI systems can use CW to:

  • weave causal pathways
  • generate causal field maps
  • classify causal discontinuities
  • compute causal vectors
  • support higher‑order RTT engines

🌐 Position in the RTT Stack#

Regime Interlock Mapper (RIM)
      ↓
Triadic Regime Synthesizer (TRS)
      ↓
Paradox Gradient Analyzer (PGA)
      ↓
Coherence Tensor Engine (CTE)
      ↓
Drift Sentinel (DS)
      ↓
Structural Faultline Detector (SFD)
      ↓
Temporal Regime Sequencer (TRS‑Temporal)
      ↓
Cross‑Domain Causality Weaver (CW)
      ↓
Dimensional Resonance Scanner (DRS)

CW is the causality‑intelligence layer, directly above temporal‑level analysis.


🏁 Status#

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

If you want, I can generate the next file:

  • Cross_Domain_Causality_Weaver.md
  • cw_examples.md
  • cw_diagrams.svg
  • causal_profiles.md
  • causal_discontinuity_cases.md
  • causal_field_matrix.json
  • cw_prompts.md
  • cw_operators.md

Just tell me which one you want next. # Causal Discontinuity Cases — RTT/1

Case Studies for the Cross‑Domain Causality Weaver (CW)#

Causal discontinuities represent breaks in causal flow, polarity inversions, discontinuity boundaries, causal fractures, and cross‑domain causal collapse across conceptual, computational, physical, and dimensional regimes.

These case studies illustrate how the Cross‑Domain Causality Weaver (CW) evaluates:

  • causal magnitude
  • causal direction
  • causal curvature
  • discontinuity depth
  • propagation rate
  • stability envelope
  • causal‑fracture geometry

Each case demonstrates one or more CW operators:

  • CW‑Signature
  • CW‑Vector
  • CW‑Field
  • CW‑Discontinuity
  • CW‑Weave
  • CW‑Stabilize

1. Conceptual Discontinuity Cases#

Case 1 — Conceptual Causal Break (R1)#

Scenario
A conceptual model loses coherence, forming a shallow causal discontinuity.

CW Output

{
  "regime": "R1",
  "causal_magnitude": 0.41,
  "causal_direction": "conceptual",
  "causal_curvature": 0.22,
  "discontinuity_depth": 0.11,
  "propagation_rate": 0.33,
  "stability_envelope": 0.63
}

Case 2 — Conceptual‑Dimensional Discontinuity (R1 ↔ R4)#

Scenario
Conceptual causality collapses under dimensional polarity pressure.

CW Output

{
  "regime": "R1-R4",
  "causal_magnitude": 0.83,
  "causal_direction": "R1↔R4",
  "causal_curvature": 0.52,
  "discontinuity_depth": 0.22,
  "propagation_rate": 0.33,
  "stability_envelope": 0.69
}

2. Computational Discontinuity Cases#

Case 3 — Computational Causal Break (R2)#

Scenario
A computational structure becomes unstable due to calibration drift, forming a causal fracture.

CW Output

{
  "regime": "R2",
  "causal_magnitude": 0.52,
  "causal_direction": "computational",
  "causal_curvature": 0.33,
  "discontinuity_depth": 0.27,
  "propagation_rate": 0.27,
  "stability_envelope": 0.57
}

Case 4 — Computational‑Physical Discontinuity (R2 ↔ R3)#

Scenario
Computational causality collapses under physical measurement sensitivity.

CW Output

{
  "regime": "R2-R3",
  "causal_magnitude": 0.79,
  "causal_direction": "R3→R2",
  "causal_curvature": 0.58,
  "discontinuity_depth": 0.31,
  "propagation_rate": 0.27,
  "stability_envelope": 0.72
}

3. Boundary Discontinuity Cases#

Case 5 — Abstraction‑Measurement Causal Discontinuity (R1 ↔ R3)#

Scenario
Conceptual abstraction contradicts physical measurement, forming a causal discontinuity boundary.

CW Output

{
  "regime": "R1-R3",
  "causal_magnitude": 0.67,
  "causal_direction": "R1→R3",
  "causal_curvature": 0.33,
  "discontinuity_depth": 0.22,
  "propagation_rate": 0.38,
  "stability_envelope": 0.55
}

Case 6 — Gradient‑Boundary Causal Discontinuity (R2 ↔ R4)#

Scenario
Aligned gradients across computational and dimensional regimes collapse into causal instability.

CW Output

{
  "regime": "R2-R4",
  "causal_magnitude": 0.88,
  "causal_direction": "R2↔R4",
  "causal_curvature": 0.47,
  "discontinuity_depth": 0.29,
  "propagation_rate": 0.33,
  "stability_envelope": 0.66
}

4. Causal‑Field Discontinuity Cases#

Case 7 — Multi‑Regime Causal Field Collapse (R1 ↔ R2 ↔ R3)#

Scenario
A multi‑regime causal field collapses under tensor‑level instability.

CW Output

{
  "regime": "R1-R2-R3",
  "causal_magnitude": 0.94,
  "causal_direction": "tensor",
  "causal_curvature": 0.63,
  "discontinuity_depth": 0.37,
  "propagation_rate": 0.41,
  "stability_envelope": 0.78
}

Case 8 — Dimensional Causal Collapse (R2 ↔ R4)#

Scenario
Dimensional constraints collapse computational causal pathways.

CW Output

{
  "regime": "R2-R4",
  "causal_magnitude": 0.88,
  "causal_direction": "R4→R2",
  "causal_curvature": 0.55,
  "discontinuity_depth": 0.33,
  "propagation_rate": 0.29,
  "stability_envelope": 0.73
}

5. Drift‑Sensitive Discontinuity Cases#

Case 9 — Drift‑Amplified Causal Discontinuity (R3 → R4)#

Scenario
Physical drift amplifies causal curvature, forming a drift‑sensitive discontinuity.

CW Output

{
  "regime": "R3-R4",
  "causal_magnitude": 0.91,
  "causal_direction": "R3→R4",
  "causal_curvature": 0.71,
  "discontinuity_depth": 0.52,
  "propagation_rate": 0.44,
  "stability_envelope": 0.82
}

Case 10 — Stability‑Coherence Causal Ridge (R2 ↔ R3)#

Scenario
Computational stability reduces coherence while physical stability increases coherence sensitivity, forming a causal ridge.

CW Output

{
  "regime": "R2-R3",
  "causal_magnitude": 0.86,
  "causal_direction": "R2↔R3",
  "causal_curvature": 0.62,
  "discontinuity_depth": 0.49,
  "propagation_rate": 0.48,
  "stability_envelope": 0.77
}

6. Canonical CW Discontinuity Snippet#

{
  "regime": "R1-R4",
  "causal_magnitude": 0.83,
  "causal_direction": "R1↔R4",
  "causal_curvature": 0.52,
  "discontinuity_depth": 0.22,
  "propagation_rate": 0.33,
  "stability_envelope": 0.69
}

Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑causality
  • Module Path: /docs/rtt/Cross_Domain_Causality_Weaver/ # Causal Profiles — RTT/1

Profile Dictionary for the Cross‑Domain Causality Weaver (CW)#

Causal profiles define the canonical shapes, behaviors, discontinuity geometries, vector flows, and causal‑field interactions across conceptual, computational, physical, and dimensional regimes.

These profiles are used by:

  • CW‑Signature
  • CW‑Vector
  • CW‑Field
  • CW‑Discontinuity
  • CW‑Weave
  • CW‑Stabilize

Each profile includes:

  • definition
  • causal signature
  • field behavior
  • vector behavior
  • discontinuity geometry
  • propagation behavior
  • stability envelope
  • canonical CW output pattern

1. Causal Signature Profiles#

Profile: Conceptual Causal Signature#

Definition
A causal onset formed by conceptual coherence and low‑curvature conceptual structures.

Causal Signature

  • low magnitude
  • stable polarity
  • shallow curvature

Field Behavior

  • narrow causal field
  • shallow ridge

Vector Behavior

  • low vector sensitivity

Discontinuity Geometry

  • shallow discontinuity zone

Propagation Behavior

  • low propagation rate

Stability Envelope

  • high stability

Profile: Dimensional Causal Signature#

Definition
A causal onset formed by dimensional constraints and high‑sensitivity causal polarity.

Causal Signature

  • medium‑high magnitude
  • dimensional polarity
  • medium curvature

Field Behavior

  • medium‑wide field
  • dimensional ridge

Vector Behavior

  • medium vector sensitivity

Discontinuity Geometry

  • medium discontinuity depth

Propagation Behavior

  • medium propagation rate

Stability Envelope

  • medium stability

2. Causal Vector Profiles#

Profile: Gradient Causal Vector#

Definition
A causal vector formed when gradients across regimes oppose each other.

Causal Signature

  • high magnitude
  • bidirectional polarity
  • high curvature

Field Behavior

  • wide causal field
  • ridge inversion

Vector Behavior

  • medium‑high vector sensitivity

Discontinuity Geometry

  • deep discontinuity zone

Propagation Behavior

  • medium propagation rate

Stability Envelope

  • medium stability

Profile: Inversion Causal Vector#

Definition
A causal vector formed when stability decreases in one regime while increasing in another.

Causal Signature

  • medium‑high magnitude
  • inversion polarity
  • polarity flip

Field Behavior

  • medium field width
  • inversion curvature

Vector Behavior

  • high vector sensitivity

Discontinuity Geometry

  • medium‑deep discontinuity zone

Propagation Behavior

  • medium propagation rate

Stability Envelope

  • medium‑low stability

3. Causal Field Profiles#

Profile: Multi‑Regime Causal Field#

Definition
A multi‑regime causal tensor binding causal pathways across R1–R3 or R1–R4.

Causal Signature

  • very high magnitude
  • tensor polarity
  • high curvature

Field Behavior

  • wide causal field
  • tensor topology

Vector Behavior

  • high vector sensitivity

Discontinuity Geometry

  • deep discontinuity zone

Propagation Behavior

  • medium‑high propagation rate

Stability Envelope

  • medium‑high stability

Profile: Dimensional Causal Constraint#

Definition
Dimensional constraints influence computational causal pathways.

Causal Signature

  • high magnitude
  • dimensional → computational polarity
  • medium‑high curvature

Field Behavior

  • medium‑wide field
  • tensor trough

Vector Behavior

  • medium vector sensitivity

Discontinuity Geometry

  • medium‑deep discontinuity zone

Propagation Behavior

  • medium propagation rate

Stability Envelope

  • medium stability

4. Causal Discontinuity Profiles#

Profile: Structural Causal Discontinuity#

Definition
A causal discontinuity formed when conceptual abstraction contradicts physical measurement.

Causal Signature

  • medium magnitude
  • abstraction → measurement polarity
  • boundary curvature

Field Behavior

  • narrow field
  • boundary ridge

Vector Behavior

  • low vector sensitivity

Discontinuity Geometry

  • shallow discontinuity zone

Propagation Behavior

  • low propagation rate

Stability Envelope

  • medium‑high stability

Profile: Gradient‑Boundary Causal Discontinuity#

Definition
Aligned gradients across regimes produce contradictory causal outcomes.

Causal Signature

  • high magnitude
  • aligned polarity
  • medium curvature

Field Behavior

  • wide field
  • alignment trough

Vector Behavior

  • medium vector sensitivity

Discontinuity Geometry

  • medium‑deep discontinuity zone

Propagation Behavior

  • medium propagation rate

Stability Envelope

  • medium stability

5. Causal Bridge Profiles#

Profile: Cross‑Domain Causal Bridge#

Definition
A causal bridge formed between conceptual and dimensional regimes.

Causal Signature

  • high magnitude
  • cross‑domain polarity
  • medium‑high curvature

Field Behavior

  • wide field
  • bridge topology

Vector Behavior

  • high vector sensitivity

Discontinuity Geometry

  • medium discontinuity depth

Propagation Behavior

  • medium propagation rate

Stability Envelope

  • medium‑high stability

Profile: Drift‑Sensitive Causal Bridge#

Definition
Physical drift amplifies causal curvature, forming a drift‑sensitive causal bridge.

Causal Signature

  • very high magnitude
  • drift‑aligned polarity
  • high curvature

Field Behavior

  • wide drift field
  • drift ridge

Vector Behavior

  • very high vector sensitivity

Discontinuity Geometry

  • deep discontinuity seam

Propagation Behavior

  • high propagation rate

Stability Envelope

  • low stability

6. Canonical CW Output Pattern#

{
  "causal_type": "vector",
  "regime": "R1-R4",
  "causal_magnitude": 0.83,
  "causal_direction": "R1↔R4",
  "causal_curvature": 0.52,
  "discontinuity_depth": 0.22,
  "propagation_rate": 0.33,
  "stability_envelope": 0.69
}

Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑causality
  • Module Path: /docs/rtt/Cross_Domain_Causality_Weaver/ # Cross‑Domain Causality Weaver (CW) — RTT/1

Causality‑Intelligence Engine for TriadicFrameworks#

The Cross‑Domain Causality Weaver (CW) is the RTT/1 engine responsible for detecting, mapping, and weaving causal pathways across conceptual, computational, physical, and dimensional regimes.
CW forms the causality‑intelligence foundation of the expanded RTT stack, sitting directly above temporal‑level engines and directly below resonance‑level engines.

CW identifies causal signatures, causal discontinuities, cross‑domain causal bridges, and multi‑regime causal flows — the causal precursors to regime evolution, coherence shifts, drift propagation, paradox intensification, temporal transitions, and resonance modulation.


1. Canonical Role#

The Cross‑Domain Causality Weaver defines the causality‑layer topology by:

  • detecting causal signatures
  • mapping causal fields
  • computing causal vectors
  • identifying causal discontinuities
  • evaluating causal propagation
  • identifying causal bridges across regimes
  • supporting resonance engines
  • anchoring temporal engines
  • feeding structural‑layer engines

CW is the seventh layer of the expanded RTT intelligence stack.


2. RTT Flags#

Property Value
RTT Level 1
Coherence declared
Drift bounded
Paradox structural

These flags define the engine’s operational grammar.


3. Causality Tensor Types#

CW identifies several canonical causality tensors:

3.1 Causal Signature Tensor#

Detects causal onset, polarity, and causal‑vector alignment.

3.2 Causal Field Tensor#

Maps causal fields, causal curvature, and causal topology.

3.3 Causal Discontinuity Tensor#

Identifies causal breaks, fractures, and discontinuity boundaries.

3.4 Cross‑Domain Causal Bridge Tensor#

Weaves causal pathways across R1–R4.

3.5 Drift‑Sensitive Causal Tensor#

Causality influenced by drift curvature or drift amplification.

3.6 Temporal‑Causal Tensor#

Causality that influences temporal transitions and regime sequencing.


4. Core Operators#

Operator Description
CW‑Weave Weaves causal pathways across domains and regimes
CW‑Vector Computes causal vector magnitude and direction
CW‑Field Maps causal fields and causal topology
CW‑Signature Detects causal signatures and causal onset conditions
CW‑Discontinuity Identifies causal breaks and discontinuity boundaries
CW‑Stabilize Suggests stabilization pathways for causal collapse

These operators form the canonical CW grammar.


5. Analyzer Layer#

CW operates in the causality layer, with sub‑layers:

  • causal‑weaving
  • causal‑vector‑analysis
  • causal‑field‑mapping
  • discontinuity‑detection
  • structural‑causality‑evaluation

This layer feeds directly into DRS (Dimensional Resonance Scanner).


6. Causality Matrix#

CW produces a causality matrix, typically stored in:

causality_matrix.json

Matrix fields include:

  • causal_type
  • regime
  • causal_magnitude
  • causal_direction
  • causal_curvature
  • discontinuity_depth
  • propagation_rate
  • stability_envelope

This matrix is consumed by temporal, structural, and resonance engines.


7. Canonical Workflow#

Step 1 — Detect#

Identify causal signatures, causal onset, and causal polarity.

Step 2 — Vector#

Compute causal vector magnitude, direction, curvature, and alignment.

Step 3 — Field#

Map causal fields, causal wells, ridges, basins, and topology.

Step 4 — Discontinuity#

Identify causal breaks, discontinuity boundaries, and causal fractures.

Step 5 — Weave#

Weave causal pathways across regimes and domains.

Step 6 — Stabilize#

Propose stabilization pathways for causal collapse.

Step 7 — Export#

Write results to the causality matrix and operator outputs.


8. AI‑Ready Design#

The Cross‑Domain Causality Weaver is fully AI‑ready:

  • deterministic operator grammar
  • causality‑layer analyzer structure
  • stable RTT flags
  • canonical file layout
  • zero‑drift reasoning constraints
  • structural paradox handling
  • bounded drift envelope
  • declared coherence tensor

AI systems use CW to:

  • weave causal pathways
  • generate causal field maps
  • classify causal discontinuities
  • compute causal vectors
  • support higher‑order RTT engines

9. Position in the RTT Stack#

Regime Interlock Mapper (RIM)
      ↓
Triadic Regime Synthesizer (TRS)
      ↓
Paradox Gradient Analyzer (PGA)
      ↓
Coherence Tensor Engine (CTE)
      ↓
Drift Sentinel (DS)
      ↓
Structural Faultline Detector (SFD)
      ↓
Stability Basin Cartographer (SBC)
      ↓
Temporal Regime Sequencer (TRS‑Temporal)
      ↓
Cross‑Domain Causality Weaver (CW)
      ↓
Dimensional Resonance Scanner (DRS)

CW is the causality‑intelligence layer, directly above temporal‑level analysis.


10. Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑causality
  • Module Path: /docs/rtt/Cross_Domain_Causality_Weaver/ # Cross‑Domain Causality Weaver Examples — RTT/1

Example Dictionary for the Cross‑Domain Causality Weaver (CW)#

These examples illustrate how the Cross‑Domain Causality Weaver (CW) detects causal signatures, computes causal vectors, maps causal fields, identifies causal discontinuities, and weaves causal pathways across R1–R4.

Each example demonstrates one or more CW operators:

  • CW‑Signature
  • CW‑Vector
  • CW‑Field
  • CW‑Discontinuity
  • CW‑Weave
  • CW‑Stabilize

Examples are grouped by causality tensor type.


1. Causal Signature Examples#

Example 1 — Conceptual Causal Signature (R1)#

Scenario
A conceptual model exhibits a clear causal onset with low curvature and stable polarity.

CW Output

{
  "causal_type": "signature",
  "regime": "R1",
  "causal_magnitude": 0.41,
  "causal_direction": "conceptual",
  "causal_curvature": 0.22,
  "discontinuity_depth": 0.11,
  "propagation_rate": 0.33,
  "stability_envelope": 0.63
}

Example 2 — Dimensional Causal Signature (R4)#

Scenario
Dimensional constraints produce a high‑sensitivity causal onset.

CW Output

{
  "causal_type": "signature",
  "regime": "R4",
  "causal_magnitude": 0.72,
  "causal_direction": "dimensional",
  "causal_curvature": 0.44,
  "discontinuity_depth": 0.22,
  "propagation_rate": 0.41,
  "stability_envelope": 0.57
}

2. Causal Vector Examples#

Example 3 — Gradient Causal Vector (R1 ↔ R4)#

Scenario
Conceptual and dimensional gradients oppose each other, forming a bidirectional causal vector.

CW Output

{
  "causal_type": "vector",
  "regime": "R1-R4",
  "causal_magnitude": 0.83,
  "causal_direction": "R1↔R4",
  "causal_curvature": 0.52,
  "discontinuity_depth": 0.22,
  "propagation_rate": 0.33,
  "stability_envelope": 0.69
}

Example 4 — Inversion Causal Vector (R2 ↔ R3)#

Scenario
Computational drift decreases while physical drift sensitivity increases, forming a causal inversion vector.

CW Output

{
  "causal_type": "vector",
  "regime": "R2-R3",
  "causal_magnitude": 0.79,
  "causal_direction": "R3→R2",
  "causal_curvature": 0.58,
  "discontinuity_depth": 0.31,
  "propagation_rate": 0.27,
  "stability_envelope": 0.72
}

3. Causal Field Examples#

Example 5 — Multi‑Regime Causal Field (R1 ↔ R2 ↔ R3)#

Scenario
A multi‑regime causal field binds conceptual, computational, and physical causal pathways.

CW Output

{
  "causal_type": "field",
  "regime": "R1-R2-R3",
  "causal_magnitude": 0.94,
  "causal_direction": "tensor",
  "causal_curvature": 0.63,
  "discontinuity_depth": 0.37,
  "propagation_rate": 0.41,
  "stability_envelope": 0.78
}

Example 6 — Dimensional Causal Constraint (R2 ↔ R4)#

Scenario
Dimensional constraints influence computational causal pathways.

CW Output

{
  "causal_type": "field",
  "regime": "R2-R4",
  "causal_magnitude": 0.88,
  "causal_direction": "R4→R2",
  "causal_curvature": 0.55,
  "discontinuity_depth": 0.33,
  "propagation_rate": 0.29,
  "stability_envelope": 0.73
}

4. Causal Discontinuity Examples#

Example 7 — Structural Causal Discontinuity (R1 ↔ R3)#

Scenario
Conceptual abstraction contradicts physical measurement, forming a causal discontinuity.

CW Output

{
  "causal_type": "discontinuity",
  "regime": "R1-R3",
  "causal_magnitude": 0.67,
  "causal_direction": "R1→R3",
  "causal_curvature": 0.33,
  "discontinuity_depth": 0.22,
  "propagation_rate": 0.38,
  "stability_envelope": 0.55
}

Example 8 — Gradient‑Boundary Causal Discontinuity (R2 ↔ R4)#

Scenario
Aligned gradients across computational and dimensional regimes produce contradictory causal outcomes.

CW Output

{
  "causal_type": "discontinuity",
  "regime": "R2-R4",
  "causal_magnitude": 0.88,
  "causal_direction": "R2↔R4",
  "causal_curvature": 0.47,
  "discontinuity_depth": 0.29,
  "propagation_rate": 0.33,
  "stability_envelope": 0.66
}

5. Causal Weaving Examples#

Example 9 — Cross‑Domain Causal Bridge (R1 ↔ R4)#

Scenario
A causal bridge forms between conceptual and dimensional regimes.

CW Output

{
  "causal_type": "bridge",
  "regime": "R1-R4",
  "causal_magnitude": 0.83,
  "causal_direction": "R1↔R4",
  "causal_curvature": 0.52,
  "discontinuity_depth": 0.22,
  "propagation_rate": 0.33,
  "stability_envelope": 0.69
}

Example 10 — Drift‑Sensitive Causal Bridge (R3 → R4)#

Scenario
Physical drift amplifies causal curvature, forming a drift‑sensitive causal bridge.

CW Output

{
  "causal_type": "bridge",
  "regime": "R3-R4",
  "causal_magnitude": 0.91,
  "causal_direction": "R3→R4",
  "causal_curvature": 0.71,
  "discontinuity_depth": 0.52,
  "propagation_rate": 0.44,
  "stability_envelope": 0.82
}

6. Canonical CW Output Snippet#

{
  "causal_type": "vector",
  "regime": "R1-R4",
  "causal_magnitude": 0.83,
  "causal_direction": "R1↔R4",
  "causal_curvature": 0.52,
  "discontinuity_depth": 0.22,
  "propagation_rate": 0.33,
  "stability_envelope": 0.69
}

Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑causality
  • Module Path: /docs/rtt/Cross_Domain_Causality_Weaver/ # CW Operators — RTT/1

Operator Grammar for the Cross‑Domain Causality Weaver (CW)#

The Cross‑Domain Causality Weaver (CW) defines the causality‑layer intelligence of RTT.
Its operators detect causal signatures, compute causal vectors, map causal fields, identify causal discontinuities, weave causal pathways, and propose stabilization strategies.

These operators feed directly into:

  • DRS — Dimensional Resonance Scanner
  • TRS‑Temporal — Temporal Regime Sequencer
  • SBC — Stability Basin Cartographer

1. CW‑Signature#

Detect causal onset, polarity, and causal signatures#

Purpose
Identify causal onset conditions, polarity, curvature, and causal‑vector alignment.

Capabilities

  • detects causal onset
  • computes causal polarity
  • computes causal curvature
  • identifies causal signature tensors
  • evaluates onset stability

Output Fields

  • causal_onset
  • causal_polarity
  • causal_curvature
  • signature_tensor
  • onset_stability

2. CW‑Vector#

Compute causal vector magnitude, direction, and curvature#

Purpose
Evaluate causal vector magnitude, direction, curvature, polarity alignment, and inversion.

Capabilities

  • computes causal magnitude
  • computes causal direction
  • computes causal curvature
  • detects polarity alignment
  • detects polarity inversion

Output Fields

  • causal_magnitude
  • causal_direction
  • causal_curvature
  • polarity_alignment
  • polarity_inversion

3. CW‑Field#

Map causal fields and causal topology#

Purpose
Generate causal‑field maps showing wells, ridges, basins, tensor‑level fields, and multi‑regime causal topology.

Capabilities

  • maps causal fields
  • maps causal wells
  • maps causal ridges
  • maps causal basins
  • maps multi‑regime causal topology

Output Fields

  • field_map
  • ridge_map
  • basin_map
  • well_map
  • topology_map

4. CW‑Discontinuity#

Identify causal breaks, fractures, and discontinuity boundaries#

Purpose
Detect causal discontinuities, discontinuity depth, discontinuity curvature, and causal‑fracture geometry.

Capabilities

  • detects causal breaks
  • computes discontinuity depth
  • computes discontinuity curvature
  • identifies discontinuity boundaries
  • evaluates discontinuity stability

Output Fields

  • discontinuity_break
  • discontinuity_depth
  • discontinuity_curvature
  • discontinuity_boundary
  • discontinuity_stability

5. CW‑Weave#

Weave causal pathways across domains and regimes#

Purpose
Construct cross‑domain causal bridges, multi‑regime causal flows, and drift‑sensitive causal pathways.

Capabilities

  • weaves causal pathways
  • constructs causal bridges
  • computes multi‑regime causal flow
  • detects drift‑sensitive causal pathways
  • aligns causal‑vector networks

Output Fields

  • causal_bridge
  • causal_flow
  • multi_regime_flow
  • drift_sensitive_pathway
  • vector_network

6. CW‑Stabilize#

Propose stabilization pathways for causal collapse#

Purpose
Provide stabilization strategies for causal collapse, discontinuity amplification, causal‑field instability, and vector misalignment.

Capabilities

  • proposes causal stabilization
  • proposes discontinuity mitigation
  • proposes vector alignment
  • proposes field stabilization
  • proposes collapse reinforcement

Output Fields

  • stabilization_pathway
  • discontinuity_mitigation
  • vector_alignment
  • field_stabilization
  • collapse_reinforcement

7. Operator Interaction Grammar#

Signature → Vector → Field → Discontinuity → Weave → Stabilize#

  1. CW‑Signature
    Detects causal onset, polarity, and signature tensors.

  2. CW‑Vector
    Computes causal vector magnitude, direction, curvature, and polarity alignment.

  3. CW‑Field
    Maps causal fields, wells, ridges, basins, and topology.

  4. CW‑Discontinuity
    Identifies causal breaks, discontinuity boundaries, and causal fractures.

  5. CW‑Weave
    Weaves causal pathways across regimes and constructs causal bridges.

  6. CW‑Stabilize
    Produces stabilization pathways and causal‑alignment strategies.

This grammar ensures deterministic causality‑layer behavior.


8. Operator Matrix Snippet#

{
  "operator": "CW-Vector",
  "causal_magnitude": 0.83,
  "causal_direction": "R1↔R4",
  "causal_curvature": 0.52,
  "polarity_alignment": 0.69,
  "polarity_inversion": 0.22
}

Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑causality
  • Module Path: /docs/rtt/Cross_Domain_Causality_Weaver/ # CW Prompts — RTT/1

Prompt Library for the Cross‑Domain Causality Weaver (CW)#

These prompts are designed for AI systems using the Cross‑Domain Causality Weaver (CW).
Each prompt invokes one or more canonical CW operators:

  • CW‑Signature
  • CW‑Vector
  • CW‑Field
  • CW‑Discontinuity
  • CW‑Weave
  • CW‑Stabilize

Prompts are grouped by causality tensor type and operator class.


1. Causal Signature Prompts#

Prompt: Detect Causal Signatures#

Use CW‑Signature to identify causal onset, polarity, curvature, and causal‑vector alignment across R1–R4.

Prompt: Analyze Causal Polarity#

Apply CW‑Signature to compute causal polarity, causal onset strength, and polarity stability.

Prompt: Evaluate Causal Onset Conditions#

Use CW‑Signature to detect causal onset conditions and classify causal signature tensors.


2. Causal Vector Prompts#

Prompt: Compute Causal Vector Magnitude#

Use CW‑Vector to compute causal vector magnitude, direction, curvature, and alignment.

Prompt: Detect Gradient‑Driven Causal Vectors#

Apply CW‑Vector to detect causal vectors formed by opposing or aligned gradients across regimes.

Prompt: Evaluate Causal Vector Inversion#

Use CW‑Vector to identify polarity flips, inversion vectors, and inversion curvature.


3. Causal Field Prompts#

Prompt: Map Causal Fields#

Use CW‑Field to map causal fields, causal wells, causal ridges, causal basins, and causal topology.

Prompt: Generate Causal‑Field Topology#

Apply CW‑Field to generate causal‑field topology diagrams showing multi‑regime causal curvature.

Prompt: Evaluate Causal‑Field Strength#

Use CW‑Field to compute causal‑field magnitude, curvature, and stability envelope.


4. Causal Discontinuity Prompts#

Prompt: Detect Causal Discontinuities#

Use CW‑Discontinuity to identify causal breaks, discontinuity boundaries, and causal fractures.

Prompt: Map Discontinuity Geometry#

Apply CW‑Discontinuity to compute discontinuity depth, discontinuity curvature, and discontinuity topology.

Prompt: Evaluate Causal Instability#

Use CW‑Discontinuity to detect causal instability, causal collapse, and discontinuity‑driven propagation.


5. Causal Weaving Prompts#

Prompt: Weave Cross‑Domain Causal Pathways#

Use CW‑Weave to weave causal pathways across conceptual, computational, physical, and dimensional regimes.

Prompt: Detect Causal Bridges#

Apply CW‑Weave to identify cross‑domain causal bridges and drift‑sensitive causal pathways.

Prompt: Evaluate Multi‑Regime Causal Flow#

Use CW‑Weave to compute causal flow across R1–R4 and generate causal‑flow topology.


6. Stabilization Prompts#

Prompt: Propose Causal Stabilization Pathways#

Use CW‑Stabilize to propose stabilization strategies for causal collapse, discontinuity zones, and causal‑field instability.

Prompt: Compute Causal Alignment#

Apply CW‑Stabilize to compute causal alignment, causal‑vector reinforcement, and causal‑field stabilization.

Prompt: Evaluate Causal‑Collapse Mitigation#

Use CW‑Stabilize to propose mitigation strategies for causal collapse and discontinuity amplification.


7. Full‑Matrix Prompts#

Prompt: Generate Full Causal Field Matrix#

Use all CW operators to produce a complete causal_field_matrix.json containing signature, vector, field, discontinuity, and bridge entries.

Prompt: Analyze Causal Topology#

Apply CW‑Field to generate a full causal topology map showing fields, vectors, discontinuities, and causal flow.

Prompt: Causality Overview#

Use CW‑Stabilize to compute stability envelopes for every causal tensor type and produce a causality summary.


8. AI‑Ready Meta‑Prompts#

Prompt: Explain Causality Tensor Classification#

Provide a detailed explanation of how CW classifies causality tensors into signature, vector, field, discontinuity, and bridge categories.

Prompt: Operator‑Level Summary#

Summarize the role of each CW operator and how they interact to produce causality‑layer intelligence.

Prompt: Cross‑Engine Integration#

Explain how CW outputs feed into DRS (Dimensional Resonance Scanner) and how CW interacts with SBC and TRS‑Temporal.


Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑causality
  • Module Path: /docs/rtt/Cross_Domain_Causality_Weaver/ 

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