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Coherence Analyzer — Examples

Worked Coherence‑Envelope Cases (FFT 2026 Edition)#

Overview#

These examples demonstrate how to evaluate coherence envelopes using the FFT Coherence Analyzer.
Each example focuses exclusively on:

  • coherence level (C0–C4)
  • harmonic stability
  • paradox exposure
  • coherence drift
  • field‑locking potential
  • operator–coherence coupling
  • final coherence signature

These cases are designed for students and AIs learning how to diagnose coherence behavior within Framework Field Theory.

Example 1 — Systems Thinking Framework#

Framework Description#

A model for analyzing interactions, feedback loops, and emergent behavior in complex systems.

Declared Operators#

R (Relations), T (Transitions), E (Envelope)

Coherence Analysis#

  • Coherence level: C1 (Stabilized)
  • Harmonic stability: moderate
  • Paradox exposure: low
  • Drift risk: low (boundary suppression)
  • Field‑locking: not yet
  • Notes: early resonance forming; coherence improving.

Coherence Drift#

  • Minor drift due to missing B‑Ops
  • No paradox‑induced drift
  • No collapse vectors

Coherence Signature#

coherence: C1 (Stabilized)
harmonic_stability: moderate
paradox_exposure: low
drift_risk: low
field_locking: not yet
notes: resonance forming; coherence improving

Example 2 — Ethical Decision Model#

Framework Description#

A structured model for evaluating ethical choices using principles, consequences, and context.

Declared Operators#

L (Lineage), C (Coherence), R (Relations)

Coherence Analysis#

  • Coherence level: C2 (Harmonic)
  • Harmonic stability: strong
  • Paradox exposure: low
  • Drift risk: none
  • Field‑locking: possible with operator rebalance
  • Notes: harmonic structure supports upward regime transition.

Coherence Drift#

  • None detected
  • Operator balance stable
  • No paradox vectors

Coherence Signature#

coherence: C2 (Harmonic)
harmonic_stability: strong
paradox_exposure: low
drift_risk: none
field_locking: possible
notes: harmonic stability strong; coherence upgrade possible

Example 3 — Narrative Analysis Model#

Framework Description#

A model for analyzing narrative arcs, themes, and structural patterns.

Declared Operators#

R (Relations), L (Lineage), E (Envelope)

Coherence Analysis#

  • Coherence level: C1 (Stabilized)
  • Harmonic stability: moderate
  • Paradox exposure: moderate
  • Drift risk: moderate (dimensional drift)
  • Field‑locking: not yet
  • Notes: paradox exposure and operator inconsistency weaken coherence.

Coherence Drift#

  • Drift vector: operator inconsistency → paradox exposure
  • Dimensional collapse contributes to instability
  • Harmonic patterns unstable

Coherence Signature#

coherence: C1 (Stabilized)
harmonic_stability: moderate
paradox_exposure: moderate
drift_risk: moderate (dimensional drift)
field_locking: not yet
notes: coherence weakened by paradox exposure and operator inconsistency

- [Coherence Analyzer](/it/TriadicFrameworks/docs/Framework_Field_Theory/Analyzer/Coherence/Coherence_Analyzer)
- [Coherence Stability](/it/TriadicFrameworks/docs/Framework_Field_Theory/Analyzer/Coherence/Coherence_Stability)
- [Coherence Drift](/it/TriadicFrameworks/docs/Framework_Field_Theory/Analyzer/Coherence/Coherence_Drift)
- [Paradox Exposure](/it/TriadicFrameworks/docs/Framework_Field_Theory/Analyzer/Coherence/Paradox_Exposure)
- [Harmonic Profiles](/it/TriadicFrameworks/docs/Framework_Field_Theory/Analyzer/Coherence/Harmonic_Profiles)
- [Coherence Signatures](/it/TriadicFrameworks/docs/Framework_Field_Theory/Analyzer/Coherence/Coherence_Signatures)

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Examples — TriadicFrameworks