TriadicFrameworks
Overzicht

SBC Operators — RTT/1

Operator Grammar for the Stability Basin Cartographer (SBC)#

These operators feed directly into:

  • TRS‑Temporal — Temporal Regime Sequencer
  • CW — Cross‑Domain Causality Weaver
  • DRS — Dimensional Resonance Scanner

1. SBC‑Map#

Map stability basins and stability topology#

Purpose
Identify stability basins, stability fields, basin boundaries, collapse zones, and stability topology across R1–R4.

Capabilities

  • maps stability basins
  • identifies basin boundaries
  • detects stability fields
  • detects collapse zones
  • evaluates stability topology

Output Fields

  • basin_map
  • boundary_map
  • field_map
  • collapse_map
  • topology_map

2. SBC‑Basin#

Analyze basin magnitude, direction, and curvature#

Purpose
Compute basin magnitude, direction, curvature, envelope boundaries, and stability flow.

Capabilities

  • computes basin magnitude
  • computes basin direction
  • computes basin curvature
  • computes envelope boundaries
  • computes stability flow

Output Fields

  • basin_magnitude
  • basin_direction
  • basin_curvature
  • envelope_boundary
  • stability_flow

3. SBC‑Gradient#

Compute basin gradients and directional stability flow#

Purpose
Evaluate gradient magnitude, gradient direction, gradient curvature, and gradient‑driven stability flow.

Capabilities

  • computes gradient magnitude
  • computes gradient direction
  • computes gradient curvature
  • evaluates gradient stability flow
  • detects gradient inversion

Output Fields

  • gradient_magnitude
  • gradient_direction
  • gradient_curvature
  • gradient_flow
  • gradient_inversion

4. SBC‑Field#

Map stability fields and stability curvature#

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

Capabilities

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

Output Fields

  • field_map
  • ridge_map
  • basin_map
  • well_map
  • topology_map

5. SBC‑Collapse#

Detect basin collapse and instability onset#

Purpose
Identify collapse zones, collapse‑point seams, collapse curvature, and collapse‑driven instability.

Capabilities

  • detects collapse zones
  • computes collapse curvature
  • detects collapse‑point seams
  • evaluates collapse stability
  • identifies collapse‑driven instability

Output Fields

  • collapse_zone
  • collapse_curvature
  • collapse_seam
  • collapse_stability
  • collapse_instability

6. SBC‑Stabilize#

Propose stability reinforcement pathways#

Purpose
Provide stabilization strategies for stability basins, stability fields, collapse zones, and multi‑regime stability tensors.

Capabilities

  • proposes stability reinforcement
  • proposes basin alignment
  • proposes gradient reduction
  • proposes collapse mitigation
  • proposes field stabilization

Output Fields

  • stabilization_pathway
  • basin_alignment
  • gradient_reduction
  • collapse_mitigation
  • field_stabilization

7. Operator Interaction Grammar#

Map → Basin → Gradient → Field → Collapse → Stabilize#

  1. SBC‑Map
    Identifies stability basins, fields, boundaries, and collapse zones.

  2. SBC‑Basin
    Computes basin magnitude, direction, curvature, and envelope boundaries.

  3. SBC‑Gradient
    Computes gradient magnitude, direction, curvature, and stability flow.

  4. SBC‑Field
    Maps stability fields, wells, ridges, basins, and topology.

  5. SBC‑Collapse
    Detects collapse zones, collapse curvature, and collapse‑point seams.

  6. SBC‑Stabilize
    Produces stabilization pathways and stability‑alignment strategies.

This grammar ensures deterministic stability‑layer behavior.

8. Operator Matrix Snippet#

{
  "operator": "SBC-Gradient",
  "gradient_magnitude": 0.83,
  "gradient_direction": "R1↔R4",
  "gradient_curvature": 0.51,
  "gradient_flow": 0.69,
  "gradient_inversion": 0.22
}

Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑stability
  • Module Path: /docs/rtt/Stability_Basin_Cartographer/
Aangedreven door Docsbook