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概要

Faultline Profiles — RTT/1

Profile Dictionary for the Structural Faultline Detector (SFD)#

Faultline profiles define the canonical shapes, behaviors, propagation patterns, instability seams, and collapse geometries of structural faultlines across conceptual, computational, physical, and dimensional regimes.

These profiles are used by:

  • SFD‑Detect
  • SFD‑Fracture
  • SFD‑Seam
  • SFD‑Field
  • SFD‑Propagate
  • SFD‑Stabilize

Each profile includes:

  • definition
  • faultline signature
  • field behavior
  • propagation behavior
  • instability seam geometry
  • stability envelope
  • canonical SFD output pattern

1. Structural Fracture Profiles#

Profile: Structural Invariant Fracture#

Definition
Fracture emerging from violation of structural invariants (symmetry, conservation, monotonicity).

Faultline Signature

  • medium‑high magnitude
  • stable direction
  • low curvature

Field Behavior

  • narrow faultline field
  • shallow ridge

Propagation Behavior

  • low propagation rate

Instability Seam Geometry

  • shallow seam
  • rigid boundary

Stability Envelope

  • high stability

Profile: Calibration‑Mismatch Fracture#

Definition
Fracture caused by divergence between computational calibration and physical measurement.

Faultline Signature

  • medium magnitude
  • oscillating direction
  • calibration curvature

Field Behavior

  • moderate field width
  • calibration ridge

Propagation Behavior

  • medium propagation rate

Instability Seam Geometry

  • medium depth

Stability Envelope

  • medium stability

2. Gradient Faultline Profiles#

Profile: Gradient Faultline Opposition#

Definition
Faultlines formed when gradients across regimes oppose each other.

Faultline Signature

  • high magnitude
  • bidirectional vector
  • high curvature

Field Behavior

  • wide faultline field
  • ridge inversion

Propagation Behavior

  • medium‑high propagation

Instability Seam Geometry

  • deep seam

Stability Envelope

  • medium stability

Profile: Gradient Inversion Faultline#

Definition
Faultline formed when drift decreases in one regime while increasing in another.

Faultline Signature

  • medium‑high magnitude
  • inversion vector
  • polarity flip

Field Behavior

  • medium field width
  • inversion curvature

Propagation Behavior

  • high propagation sensitivity

Instability Seam Geometry

  • medium‑deep seam

Stability Envelope

  • medium‑low stability

3. Boundary Faultline Profiles#

Profile: Abstraction‑Measurement Faultline#

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

Faultline Signature

  • medium magnitude
  • abstraction → measurement direction
  • boundary curvature

Field Behavior

  • narrow field
  • boundary ridge

Propagation Behavior

  • low propagation

Instability Seam Geometry

  • shallow seam

Stability Envelope

  • medium‑high stability

Profile: Gradient‑Boundary Faultline#

Definition
Aligned gradients across regimes produce contradictory structural outcomes.

Faultline Signature

  • high magnitude
  • aligned direction
  • medium curvature

Field Behavior

  • wide field
  • alignment trough

Propagation Behavior

  • medium propagation

Instability Seam Geometry

  • medium‑deep seam

Stability Envelope

  • medium stability

4. Faultline‑Field Profiles#

Profile: Multi‑Regime Faultline Field#

Definition
A multi‑regime faultline tensor binds structural fractures across R1–R3 or R1–R4.

Faultline Signature

  • very high magnitude
  • tensor direction
  • high curvature

Field Behavior

  • wide faultline field
  • tensor topology

Propagation Behavior

  • high propagation

Instability Seam Geometry

  • deep seam

Stability Envelope

  • medium‑high stability

Profile: Dimensional Faultline Constraint#

Definition
Dimensional constraints influence computational structural pathways.

Faultline Signature

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

Field Behavior

  • medium‑wide field
  • tensor trough

Propagation Behavior

  • medium propagation

Instability Seam Geometry

  • medium‑deep seam

Stability Envelope

  • medium stability

5. Drift‑Sensitive Faultline Profiles#

Profile: Drift‑Amplified Faultline Basin#

Definition
Drift amplification increases structural curvature, forming a drift‑sensitive faultline basin.

Faultline Signature

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

Field Behavior

  • wide field
  • amplification basin

Propagation Behavior

  • very high propagation

Instability Seam Geometry

  • deep collapse seam
  • instability ridge

Stability Envelope

  • low stability

Profile: Drift‑Coherence Faultline Ridge#

Definition
Drift increases coherence sensitivity, amplifying structural curvature.

Faultline Signature

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

Field Behavior

  • medium field
  • amplification ridge

Propagation Behavior

  • high propagation

Instability Seam Geometry

  • medium‑deep seam

Stability Envelope

  • medium‑low stability

6. Canonical SFD Output Pattern#

{
  "faultline_type": "gradient",
  "regime": "R1-R4",
  "fracture_magnitude": 0.83,
  "fracture_direction": "R1↔R4",
  "faultline_curvature": 0.52,
  "propagation_rate": 0.33,
  "instability_seam": 0.47,
  "stability_envelope": 0.69
}

Status#

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

Updated

提供： Docsbook