Coherence Analyzer

Core Diagnostic Engine for Coherence Envelopes (FFT 2026 Edition)#

Metadata#

module: Coherence Analyzer
parent_module: FFT Analyzer
layer: Core Frameworks — Structural Spine
version: 2026.1
status: Active, Canonical
analyzer_type:
  - coherence envelope analysis
  - harmonic stability diagnostics
  - paradox exposure detection
  - coherence drift mapping
  - field-locking evaluation
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
    - coherence drift diagnostics

Purpose#

The Coherence Analyzer evaluates the coherence envelope of any framework expressed within Framework Field Theory.
Coherence determines whether a framework is:

structurally stable
harmonically aligned
paradox‑resilient
capable of dimensional or regime transitions
able to lock into field‑level behavior

This analyzer is the stability engine of FFT.

Coherence Model (C0–C4)#

C0 — Baseline#

Minimal coherence; unstable; drift likely.

C1 — Stabilized#

Basic coherence achieved; paradox resilience low.

C2 — Harmonic#

Harmonic patterns present; resonance forming.

C3 — Resonant#

Strong coherence; stable resonance; drift minimal.

C4 — Field‑Locked#

Maximum coherence; transitions smooth; field‑level stability.

What the Coherence Analyzer Measures#

1. Coherence Envelope#

Determines:

current coherence level (C0–C4)
envelope stability
envelope boundaries

2. Harmonic Stability#

Evaluates:

harmonic patterns
resonance formation
harmonic collapse risk

3. Paradox Exposure#

Identifies:

paradox density
paradox vectors
paradox‑induced drift

4. Coherence Drift#

Detects:

weakening coherence
operator‑driven coherence loss
regime‑driven instability
dimensional collapse effects

5. Field‑Locking Potential#

Determines whether the framework can:

stabilize
resonate
lock into field‑level coherence

Analyzer Workflow#

Step 1 — Declare Coherence Assumptions#

Provide:

known coherence level
operator pattern
dimensional envelope
regime state

Step 2 — Identify Coherence Envelope#

The analyzer infers:

C0–C4 state
envelope stability
envelope boundaries

Step 3 — Evaluate Harmonic Stability#

Checks:

harmonic patterns
resonance formation
collapse risk

Step 4 — Detect Paradox Exposure#

Maps:

paradox density
paradox vectors
paradox‑induced drift

Step 5 — Map Coherence Drift#