Coherence Analyzer

Module path: Framework_Field_Theory/Analyzer/Coherence/ Parent module: FFT Analyzer Layer: Core Frameworks — Structural Spine

Metadata#

module: FFT Coherence Analyzer
parent_module: FFT Analyzer
layer: Core Frameworks — Structural Spine
version: 2026.2
status: Active, Canonical
analyzer_type:
  - coherence envelope analysis
  - harmonic stability diagnostics
  - paradox exposure detection
 
session_context:
  drift_sensitivity: high
  regime_sensitivity: high
  dimensional_envelope: D0–D7
  coherence_requirements:
    - coherence envelope must be declared or inferred
    - harmonic stability must be measurable
    - paradox exposure must be surfaced
 
cross_module_propagation:
  imports:
    - FFT coherence engines
    - FFT operator families
    - SARG regime geometry
    - Mode substrate states
    - Substrate Flow invariants
  exports:
    - coherence signatures
    - stability curves
    - paradox maps

Purpose#

The FFT Coherence Analyzer evaluates the coherence envelope of any framework, model, or system expressed within Framework Field Theory. Coherence determines whether a framework is stable, resonant, paradox-resilient, and capable of dimensional or regime transitions.

This analyzer identifies:

coherence stability
harmonic behavior
paradox exposure
field-locking potential
operator–coherence coupling

It is the stability diagnostic of FFT.

Coherence Model (C0–C4)#

Level	Name	Description
C0	Baseline	Minimal coherence; unstable; drift likely
C1	Stabilized	Basic coherence achieved; low paradox resilience
C2	Harmonic	Harmonic patterns present; resonance forming
C3	Resonant	Strong coherence; stable resonance; low drift
C4	Field-Locked	Maximum coherence; dimensional and regime transitions smooth

What the Coherence Analyzer Detects#

1. Coherence Envelope#

Current coherence level (C0–C4)
Envelope stability
Envelope boundaries

2. Harmonic Stability#

Harmonic patterns
Resonance formation
Harmonic collapse risk

3. Paradox Exposure#

Paradox density
Paradox vectors
Paradox-induced drift

4. Field-Locking Potential#

Can the framework stabilize?
Can it resonate?
Can it lock into field-level coherence?

Directory Structure#

Coherence/
├── README.md
├── Coherence_Analyzer.md
├── Coherence_Stability.md
├── Paradox_Exposure.md
└── Coherence_Examples.md

Files#

File	Purpose
Coherence_Analyzer.md	Core coherence-assessment engine — measures internal alignment, envelope state (C0–C4), and structural integrity
Coherence_Stability.md	Stability analysis under perturbation, scaling, and reframing; harmonic patterns and collapse risk
Paradox_Exposure.md	Identifies and quantifies a system's vulnerability to paradox; maps paradox density and vectors
Coherence_Examples.md	Worked coherence-analysis examples across domains

How to Use the Coherence Analyzer#

Step 1 — Declare the Framework Provide: coherence assumptions, operator pattern, dimensional envelope, regime state.

Step 2 — Identify Coherence Envelope The analyzer determines: C0–C4 state, envelope stability, envelope boundaries.

Step 3 — Evaluate Harmonic Stability Checks: harmonic patterns, resonance formation, harmonic collapse risk.

Step 4 — Detect Paradox Exposure Identifies: paradox density, paradox vectors, paradox-induced drift.

Step 5 — Generate Coherence Signature A coherence signature includes: coherence level, harmonic stability, paradox exposure, drift risk, field-locking potential.

Example Output#

Framework: Organizational Learning Model
Coherence Signature:
  coherence: C2 (Harmonic)
  harmonic_stability: moderate
  paradox_exposure: low
  drift_risk: low
  field_locking: possible (requires operator rebalance)
  notes: resonance forming; coherence envelope strengthening

Cross-Module Integration#

Module	Relationship
FFT Analyzer	Operator patterns, dimensional envelopes, drift vectors, regime states
SARG	Regime geometry; regime-dependent coherence behavior
Mode	Substrate states; mode-dependent coherence shifts
Substrate Flow	Flow-driven coherence changes; substrate-dependent harmonic behavior

FFT Analyzer — Parent Analyzer module
Drift — Drift detection across all layers
Regime — Regime classification and boundary diagnostics
Operators — Operator profiling and regime coupling
Dimensional — Dimensional structure and transitions
FFT Coherence (theory) — Coherence theory and measurement

Part of TriadicFrameworks · Framework Field Theory · Analyzer