Stability Basin Profiles — RTT/1

Profile Dictionary for the Stability Basin Cartographer (SBC)#

Stability basin profiles define the canonical shapes, behaviors, collapse geometries, gradient flows, and stability‑field interactions across conceptual, computational, physical, and dimensional regimes.

These profiles are used by:

• SBC‑Map
• SBC‑Basin
• SBC‑Gradient
• SBC‑Field
• SBC‑Collapse
• SBC‑Stabilize

Each profile includes:

• definition
• basin signature
• field behavior
• gradient behavior
• collapse geometry
• stability envelope
• canonical SBC output pattern

1. Stability Basin Profiles#

Profile: Conceptual Stability Basin#

Definition
A stability basin formed by conceptual coherence and low‑curvature conceptual structures.

Basin Signature

• low magnitude
• stable direction
• shallow curvature

Field Behavior

• narrow stability field
• shallow ridge

Gradient Behavior

• low gradient sensitivity

Collapse Geometry

• shallow collapse zone

Stability Envelope

• high stability

Profile: Computational Stability Basin#

Definition
A basin formed by computational consistency, calibration, and structural predictability.

Basin Signature

• medium magnitude
• stable computational direction
• medium curvature

Field Behavior

• moderate field width
• calibration ridge

Gradient Behavior

• medium gradient sensitivity

Collapse Geometry

• medium collapse zone

Stability Envelope

• medium stability

2. Gradient Basin Profiles#

Profile: Gradient Basin Opposition#

Definition
A basin formed when gradients across regimes oppose each other.

Basin Signature

• high magnitude
• bidirectional vector
• high curvature

Field Behavior

• wide stability field
• ridge inversion

Gradient Behavior

• medium‑high gradient sensitivity

Collapse Geometry

• deep collapse zone

Stability Envelope

• medium stability

Profile: Gradient Inversion Basin#

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

Basin Signature

• medium‑high magnitude
• inversion vector
• polarity flip

Field Behavior

• medium field width
• inversion curvature

Gradient Behavior

• high gradient sensitivity

Collapse Geometry

• medium‑deep collapse zone

Stability Envelope

• medium‑low stability

3. Boundary Basin Profiles#

Profile: Abstraction‑Measurement Basin#

Definition
A basin formed at the boundary between conceptual abstraction and physical measurement.

Basin Signature

• medium magnitude
• abstraction → measurement direction
• boundary curvature

Field Behavior

• narrow field
• boundary ridge

Gradient Behavior

• low gradient sensitivity

Collapse Geometry

• shallow collapse zone

Stability Envelope

• medium‑high stability

Profile: Gradient‑Boundary Basin#

Definition
Aligned gradients across regimes produce contradictory stability outcomes.

Basin Signature

• high magnitude
• aligned direction
• medium curvature

Field Behavior

• wide field
• alignment trough

Gradient Behavior

• medium gradient sensitivity

Collapse Geometry

• medium‑deep collapse zone

Stability Envelope

• medium stability

4. Stability‑Field Profiles#

Profile: Multi‑Regime Stability Field#

Definition
A multi‑regime stability tensor binding stability basins across R1–R3 or R1–R4.

Basin Signature

• very high magnitude
• tensor direction
• high curvature

Field Behavior

• wide stability field
• tensor topology

Gradient Behavior

• high gradient sensitivity

Collapse Geometry

• deep collapse zone

Stability Envelope

• medium‑high stability

Profile: Dimensional Stability Constraint#

Definition
Dimensional constraints influence computational stability pathways.

Basin Signature

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

Field Behavior

• medium‑wide field
• tensor trough

Gradient Behavior

• medium gradient sensitivity

Collapse Geometry

• medium‑deep collapse zone

Stability Envelope

• medium stability

5. Collapse‑Zone Profiles#

Profile: Stability Collapse Basin#

Definition
A collapse basin formed when stability collapses into dimensional instability.

Basin Signature

• very high magnitude
• collapse‑aligned direction
• high curvature

Field Behavior

• wide collapse field
• collapse basin

Gradient Behavior

• very high gradient sensitivity

Collapse Geometry

• deep collapse seam
• instability ridge

Stability Envelope

• low stability

Profile: Stability‑Coherence Collapse Ridge#

Definition
Stability reduces coherence while physical stability increases coherence sensitivity.

Basin Signature

• medium‑high magnitude
• coherence‑aligned direction
• medium‑high curvature

Field Behavior

• medium field
• collapse ridge

Gradient Behavior

• high gradient sensitivity

Collapse Geometry

• medium‑deep collapse zone

Stability Envelope

• medium‑low stability

6. Canonical SBC Output Pattern#

{
  "basin_type": "gradient",
  "regime": "R1-R4",
  "basin_magnitude": 0.83,
  "basin_direction": "R1↔R4",
  "basin_curvature": 0.51,
  "collapse_zone": 0.22,
  "stability_field": 0.69,
  "envelope_boundary": 0.46
}

Status#

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