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/