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Paradox Sources — RTT/1

Source Dictionary for the Paradox Gradient Analyzer (PGA)#

Paradox sources are the origin points from which paradox gradients emerge.
They represent contradictions, conflicts, or destabilizing conditions across conceptual, computational, physical, and dimensional regimes.

These sources feed directly into:

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

Each paradox source includes:

  • definition
  • diagnostic markers
  • onset conditions
  • example signatures
  • canonical PGA output pattern

1. Structural Paradox Sources#

Source: Symmetry‑Violation Paradox#

Definition
A structural invariant (e.g., symmetry, conservation, monotonicity) is violated by a downstream regime.

Diagnostic Markers

  • broken invariants
  • structural contradiction
  • low drift, high coherence dependency

Onset Conditions

  • algorithmic asymmetry
  • structural misalignment
  • constraint violation

Example Signature R1 symmetry rule ↔ R2 asymmetric iteration

Source: Calibration‑Contradiction Paradox#

Definition
A computational model requires calibration constants that contradict physical measurements.

Diagnostic Markers

  • calibration mismatch
  • measurement conflict
  • medium drift sensitivity

Onset Conditions

  • model‑measurement divergence
  • unstable calibration envelope

Example Signature R2 model ↔ R3 measurement

2. Gradient Paradox Sources#

Source: Coherence‑Gradient Opposition#

Definition
Two regimes exhibit coherence gradients that oppose each other.

Diagnostic Markers

  • coherence ridge inversion
  • gradient opposition
  • medium‑high intensity

Onset Conditions

  • conceptual coherence ↑
  • dimensional coherence ↓

Example Signature R1 coherence ↑ ↔ R4 coherence ↓

Source: Drift‑Gradient Inversion#

Definition
Drift decreases in one regime while increasing in another.

Diagnostic Markers

  • drift curvature
  • instability ridge
  • high paradox basin depth

Onset Conditions

  • computational drift ↓
  • physical drift sensitivity ↑

Example Signature R2 drift ↓ ↔ R3 drift sensitivity ↑

3. Boundary Paradox Sources#

Source: Abstraction‑Measurement Paradox#

Definition
An abstract conceptual model predicts behavior that contradicts physical measurement.

Diagnostic Markers

  • abstraction boundary curvature
  • measurement conflict
  • medium intensity

Onset Conditions

  • conceptual model → physical implementation
  • measurement deviation

Example Signature R1 abstraction ↔ R3 measurement

Source: Gradient‑Boundary Paradox#

Definition
A gradient alignment across regimes produces contradictory outcomes.

Diagnostic Markers

  • aligned gradients
  • contradictory outputs
  • medium‑high intensity

Onset Conditions

  • computational gradient ↔ dimensional gradient
  • outcome divergence

Example Signature R2 gradient ↔ R4 gradient

4. Tensor Paradox Sources#

Source: Coherence Tensor Paradox#

Definition
A multi‑regime coherence tensor binds regimes, but one regime violates tensor constraints.

Diagnostic Markers

  • tensor curvature
  • coherence dependency
  • high intensity

Onset Conditions

  • tensor binding
  • coherence violation

Example Signature R1 ↔ R2 ↔ R3 coherence tensor

Source: Dimensional Tensor Paradox#

Definition
Dimensional tensors constrain computational pathways, but computational coherence violates tensor alignment.

Diagnostic Markers

  • tensor constraint
  • coherence misalignment
  • medium‑high intensity

Onset Conditions

  • dimensional tensor
  • computational violation

Example Signature R2 ↔ R4 dimensional tensor

5. Drift‑Induced Paradox Sources#

Source: Drift‑Amplification Paradox#

Definition
Drift in one regime amplifies drift curvature in another, forming a paradox basin.

Diagnostic Markers

  • drift amplification
  • basin formation
  • high intensity

Onset Conditions

  • physical drift ↑
  • dimensional drift curvature ↑

Example Signature R3 drift ↑ ↔ R4 drift curvature ↑

Source: Drift‑Coherence Paradox#

Definition
Drift reduces coherence in one regime while increasing coherence sensitivity in another.

Diagnostic Markers

  • coherence curvature
  • drift‑coherence conflict
  • medium‑high intensity

Onset Conditions

  • computational drift ↓
  • physical coherence sensitivity ↑

Example Signature R2 drift ↓ ↔ R3 coherence sensitivity ↑

6. Canonical PGA Output Pattern#

{
  "paradox_source": "coherence-gradient-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/

Updated

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