c_Gradientary_Signatures.md

Gradientary Signatures — Conditions Substrate Model#

TriadicFrameworks Canon (2026.07)

Signatures are the canonical markers of the Conditions Substrate Model.
They identify drift states, coherence states, resonance peaks, thresholds, cascades, cycles, chains, webs, and cross‑scale transitions.

This dictionary defines the canonical signature operators used across all substrates (D0–D7).

1. Drift Signatures#

signature_drift_dominance#

Definition: Drift(d_i) > Coh(d_i)
Operator Notes: instability marker
Pattern: drift ignition

signature_drift_sync#

Definition: synchronized drift across dims
Operator Notes: cascade precursor
Pattern: drift synchronization

signature_drift_oscillation#

Definition: Drift(D1,D7,D5) >> Coh
Operator Notes: volatility signature
Pattern: oscillation ignition

signature_drift_collapse#

Definition: Drift across ≥4 dims >> Coh≈0
Operator Notes: terminal collapse
Pattern: collapse ignition

2. Coherence Signatures#

signature_coherence_stability#

Definition: Coh(d_i) > Drift(d_i)
Operator Notes: stability marker
Pattern: stability ignition

signature_coherence_peak#

Definition: Coh↑↑↑ across D7,D1,D4,D0
Operator Notes: apex stability
Pattern: peak coherence

signature_coherence_sync#

Definition: synchronized coherence across dims
Operator Notes: stability precursor
Pattern: coherence synchronization

signature_coherence_envelope#

Definition: C7,C1,C4,C0 coherence↑↑↑
Operator Notes: stability envelope
Pattern: stability arc

3. Resonance Signatures#

signature_resonance_amplification#

Definition: R(d_i) > Drift(d_i)
Operator Notes: amplification marker
Pattern: resonance ignition

signature_resonance_identity_peak#

Definition: R(D2,D4)↑↑↑
Operator Notes: identity cascade
Pattern: identity peak

signature_resonance_oscillation_peak#

Definition: R(D1,D7,D5)↑↑↑
Operator Notes: volatility cascade
Pattern: oscillation peak

signature_resonance_collapse_peak#

Definition: R(D0,D1,D5,D7)↑↑↑
Operator Notes: collapse cascade
Pattern: collapse peak

4. Regime Signatures#

signature_regime_stability#

Definition: Coh↑, Drift↓
Pattern: stability state

signature_regime_expansion#

Definition: Coh↑↑, Drift↑
Pattern: growth state

signature_regime_coherence#

Definition: Coh↑↑↑, Drift↓
Pattern: peak stability state

signature_regime_oscillation#

Definition: Drift(D1,D7,D5) >> Coh
Pattern: volatility state

signature_regime_narrowing#

Definition: Drift(D0,D5,D1) > Coh
Pattern: scarcity state

signature_regime_destabilization#

Definition: Drift(D0,D7,D1) >> Coh
Pattern: destabilization state

signature_regime_collapse#

Definition: Drift across ≥4 dims >> Coh≈0
Pattern: collapse state

signature_regime_regeneration#

Definition: Coh↑, Drift↓
Pattern: recovery state

5. Threshold Signatures#

signature_threshold_narrowing#

Definition: D0,D5,D1 drift↑
Pattern: scarcity ignition

signature_threshold_oscillation#

Definition: D1,D7,D5 drift↑↑
Pattern: volatility ignition

signature_threshold_destabilization#

Definition: D0,D7,D1 drift↑↑↑
Pattern: collapse precursor

signature_threshold_collapse#

Definition: D0,D1,D5,D7 drift↑↑↑↑
Pattern: terminal collapse

6. Propagation Signatures#

signature_propagation_collapse#

Definition: D0→D7→D1→D5
Pattern: collapse topology

signature_propagation_coherence#

Definition: D7→D1→D4→D0
Pattern: stability topology

signature_propagation_oscillation#

Definition: D1→D7→D5→D4
Pattern: volatility topology

7. Substrate Signatures#

signature_substrate_collapse#

Definition: D0,D1,D5,D7 drift↑↑↑
Pattern: collapse substrate

signature_substrate_coherence#

Definition: D7,D1,D4,D0 coh↑↑↑
Pattern: stability substrate

signature_substrate_oscillation#

Definition: D1,D7,D5 drift↑↑
Pattern: oscillation substrate

signature_substrate_identity#

Definition: D2,D4,D1 resonance↑↑↑
Pattern: identity substrate

8. Cascade Signatures#

signature_cascade_collapse#

Definition: D0→D7→D1→D5
Pattern: collapse ignition

signature_cascade_regeneration#

Definition: D0→D7→D1→D4
Pattern: recovery ignition

signature_cascade_coherence#

Definition: D7→D1→D4→D0
Pattern: stability ignition

signature_cascade_oscillation#

Definition: D1→D7→D5→D4
Pattern: volatility ignition

9. Cycle Signatures#

signature_cycle_drift#

Definition: rise → peak → decline → reset
Pattern: drift rhythm

signature_cycle_coherence#

Definition: stabilize → expand → peak → soften → reset
Pattern: coherence rhythm

signature_cycle_epochal#

Definition: E5→E6→E7→E0
Pattern: epochal collapse arc

10. Chain Signatures#

signature_chain_collapse#

Definition: D0 → D7 → D1 → D5
Pattern: collapse chain

signature_chain_regeneration#

Definition: D0 → D7 → D1 → D4
Pattern: recovery chain

signature_chain_coherence#

Definition: D7 → D1 → D4 → D0
Pattern: stability chain

signature_chain_oscillation#

Definition: D1 → D7 → D5 → D4
Pattern: volatility chain

11. Web Signatures#

signature_web_collapse#

Definition: D0→D7→D1→D5→D0
Pattern: collapse web

signature_web_coherence#

Definition: D7→D1→D4→D0
Pattern: stability web

signature_web_oscillation#

Definition: D1→D7→D5→D4→D1
Pattern: oscillation web

signature_web_identity#

Definition: D2→D4→D1→D2
Pattern: identity web

12. Cross‑Scale Signatures#

signature_civilizational#

Definition:
collapse: C‑D0,D1,D5,D7
coherence: C‑D7,D1,D4,D0
oscillation: C‑D1,D7,D5
Pattern: civilizational ignition

signature_planetary#

Definition:
collapse: D0,D1,D5,D7↑↑↑
coherence: D7,D1,D4,D0↑↑↑
oscillation: D1,D7,D5↑↑
Pattern: planetary ignition

signature_epochal#

Definition: E5→E6→E7→E0
Pattern: epochal collapse arc

signature_deep_time#

Definition: M3→M4→M5 amplification → collapse → reset
Pattern: deep‑time ignition

13. Signature Dictionary Summary#

This dictionary defines:

• Drift Signatures
• Coherence Signatures
• Resonance Signatures
• Regime Signatures
• Threshold Signatures
• Propagation Signatures
• Substrate Signatures
• Cascade Signatures
• Cycle Signatures
• Chain Signatures
• Web Signatures
• Cross‑Scale Signatures

This is the complete signature lexicon of the Conditions Substrate Model.