Triadicframeworks
Overview

Paradox Gradient Profiles — RTT/1

Profile Dictionary for the Paradox Gradient Analyzer (PGA)#

Paradox gradient profiles define the canonical shapes, behaviors, and structural signatures of paradox gradients across conceptual, computational, physical, and dimensional regimes.

These profiles are used by:

  • PGA‑Detect
  • PGA‑Gradient
  • PGA‑Intensity
  • PGA‑Field
  • PGA‑Resolve

Each profile includes:

  • definition
  • gradient signature
  • field behavior
  • basin geometry
  • intensity regime
  • canonical PGA output pattern

1. Structural Gradient Profiles#

Profile: Symmetry‑Violation Gradient#

Definition
A paradox gradient emerging from violation of a structural invariant (symmetry, conservation, monotonicity).

Gradient Signature

  • sharp directional break
  • high coherence dependency
  • low drift curvature

Field Behavior

  • narrow paradox field
  • steep curvature
  • localized instability

Basin Geometry

  • shallow basin
  • high boundary rigidity

Intensity Regime

  • medium‑high intensity

Profile: Calibration‑Mismatch Gradient#

Definition
A paradox gradient caused by divergence between computational calibration and physical measurement.

Gradient Signature

  • medium magnitude
  • direction oscillates between regimes
  • calibration curvature present

Field Behavior

  • moderate field width
  • medium curvature

Basin Geometry

  • medium depth
  • calibration ridge

Intensity Regime

  • medium intensity

2. Coherence Gradient Profiles#

Profile: Coherence‑Opposition Gradient#

Definition
Two regimes exhibit coherence gradients that oppose each other.

Gradient Signature

  • high magnitude
  • bidirectional vector
  • coherence ridge inversion

Field Behavior

  • wide paradox field
  • high curvature

Basin Geometry

  • deep basin
  • coherence trough

Intensity Regime

  • high intensity

Profile: Coherence‑Threshold Gradient#

Definition
A paradox gradient triggered when coherence falls below or exceeds a threshold.

Gradient Signature

  • threshold discontinuity
  • medium magnitude
  • coherence gating

Field Behavior

  • narrow field
  • threshold curvature

Basin Geometry

  • shallow basin
  • threshold wall

Intensity Regime

  • medium intensity

3. Drift Gradient Profiles#

Profile: Drift‑Amplification Gradient#

Definition
Drift in one regime amplifies drift curvature in another.

Gradient Signature

  • high magnitude
  • drift curvature spike
  • instability ridge

Field Behavior

  • wide field
  • high curvature

Basin Geometry

  • deep basin
  • drift well

Intensity Regime

  • very high intensity

Profile: Drift‑Inversion Gradient#

Definition
Drift decreases in one regime while increasing in another.

Gradient Signature

  • medium‑high magnitude
  • inversion vector
  • drift polarity flip

Field Behavior

  • medium field width
  • inversion curvature

Basin Geometry

  • medium‑deep basin
  • inversion trough

Intensity Regime

  • high intensity

4. Boundary Gradient Profiles#

Profile: Abstraction‑Measurement Gradient#

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

Gradient Signature

  • medium magnitude
  • abstraction → measurement direction
  • boundary curvature

Field Behavior

  • narrow field
  • medium curvature

Basin Geometry

  • shallow basin
  • boundary ridge

Intensity Regime

  • medium intensity

Profile: Gradient‑Boundary Alignment#

Definition
Aligned gradients across regimes produce contradictory outcomes.

Gradient Signature

  • high magnitude
  • aligned direction
  • outcome divergence

Field Behavior

  • wide field
  • medium curvature

Basin Geometry

  • medium‑deep basin
  • alignment trough

Intensity Regime

  • medium‑high intensity

5. Tensor Gradient Profiles#

Profile: Coherence Tensor Gradient#

Definition
A paradox gradient emerging from violation of multi‑regime coherence tensor constraints.

Gradient Signature

  • very high magnitude
  • tensor direction
  • multi‑regime curvature

Field Behavior

  • wide field
  • high curvature

Basin Geometry

  • deep basin
  • tensor well

Intensity Regime

  • very high intensity

Profile: Dimensional Tensor Gradient#

Definition
Dimensional tensor constraints conflict with computational coherence.

Gradient Signature

  • high magnitude
  • dimensional → computational direction
  • tensor curvature

Field Behavior

  • medium‑wide field
  • medium‑high curvature

Basin Geometry

  • medium‑deep basin
  • tensor trough

Intensity Regime

  • high intensity

6. Canonical PGA Output Pattern#

{
  "paradox_source": "coherence-gradient-opposition",
  "gradient_profile": "coherence-opposition",
  "regime": "R1-R4",
  "gradient_magnitude": 0.83,
  "gradient_direction": "R1↔R4",
  "intensity": 0.77,
  "field_curvature": 0.51,
  "basin_depth": 0.69,
  "stability_rating": 0.46
}

Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑structural
  • Module Path: /docs/rtt/Paradox_Gradient_Analyzer/
Powered by Docsbook