c_Gradientary_Thresholds.md
Gradientary Thresholds — Conditions Substrate Model#
TriadicFrameworks Canon (2026.07)
Thresholds are the critical inflection points of the Conditions Substrate Model — the exact moments where systems flip into new states.
They define collapse ignition, stability ignition, oscillation ignition, scarcity ignition, and regeneration ignition.
This dictionary defines the canonical threshold operators used across all substrates (D0–D7).
1. Drift Thresholds#
threshold_drift_narrowing#
Definition: D0,D5,D1 drift↑
Operator Notes: scarcity ignition
Pattern: narrowing threshold
threshold_drift_oscillation#
Definition: D1,D7,D5 drift↑↑
Operator Notes: volatility ignition
Pattern: oscillation threshold
threshold_drift_destabilization#
Definition: D0,D7,D1 drift↑↑↑
Operator Notes: collapse precursor
Pattern: destabilization threshold
threshold_drift_collapse#
Definition: D0,D1,D5,D7 drift↑↑↑↑
Operator Notes: terminal collapse
Pattern: collapse threshold
2. Coherence Thresholds#
threshold_coherence_stability#
Definition: Coh(d_i) > Drift(d_i)
Operator Notes: stability ignition
Pattern: stability threshold
threshold_coherence_expansion#
Definition: Coh↑↑, Drift↑
Operator Notes: growth ignition
Pattern: expansion threshold
threshold_coherence_peak#
Definition: C7,C1,C4,C0 coh↑↑↑
Operator Notes: apex stability
Pattern: peak threshold
threshold_coherence_regeneration#
Definition: Coh↑, Drift↓
Operator Notes: recovery ignition
Pattern: regeneration threshold
3. Resonance Thresholds#
threshold_resonance_identity#
Definition: R(D2,D4,D1)↑↑↑
Operator Notes: identity cascade ignition
Pattern: identity threshold
threshold_resonance_oscillation#
Definition: R(D1,D7,D5)↑↑↑
Operator Notes: volatility cascade ignition
Pattern: oscillation threshold
threshold_resonance_collapse#
Definition: R(D0,D1,D5,D7)↑↑↑
Operator Notes: collapse cascade ignition
Pattern: collapse threshold
4. Regime Thresholds#
threshold_regime_stability#
Definition: Coh↑, Drift↓
Pattern: stability state ignition
threshold_regime_expansion#
Definition: Coh↑↑, Drift↑
Pattern: expansion state ignition
threshold_regime_coherence#
Definition: Coh↑↑↑, Drift↓
Pattern: coherence state ignition
threshold_regime_oscillation#
Definition: Drift(D1,D7,D5) >> Coh
Pattern: oscillation state ignition
threshold_regime_narrowing#
Definition: Drift(D0,D5,D1) > Coh
Pattern: narrowing state ignition
threshold_regime_destabilization#
Definition: Drift(D0,D7,D1) >> Coh
Pattern: destabilization state ignition
threshold_regime_collapse#
Definition: Drift across ≥4 dims >> Coh≈0
Pattern: collapse state ignition
threshold_regime_regeneration#
Definition: Coh↑, Drift↓
Pattern: regeneration state ignition
5. Propagation Thresholds#
threshold_propagation_collapse#
Definition: D0→D7→D1→D5
Pattern: collapse topology ignition
threshold_propagation_coherence#
Definition: D7→D1→D4→D0
Pattern: stability topology ignition
threshold_propagation_oscillation#
Definition: D1→D7→D5→D4
Pattern: volatility topology ignition
threshold_propagation_regeneration#
Definition: D0→D7→D1→D4
Pattern: recovery topology ignition
6. Substrate Thresholds#
threshold_substrate_collapse#
Definition: D0,D1,D5,D7 drift↑↑↑
Pattern: collapse substrate ignition
threshold_substrate_coherence#
Definition: D7,D1,D4,D0 coh↑↑↑
Pattern: stability substrate ignition
threshold_substrate_oscillation#
Definition: D1,D7,D5 drift↑↑
Pattern: oscillation substrate ignition
threshold_substrate_identity#
Definition: D2,D4,D1 resonance↑↑↑
Pattern: identity substrate ignition
7. Cascade Thresholds#
threshold_cascade_collapse#
Definition: D0→D7→D1→D5
Pattern: collapse cascade ignition
threshold_cascade_regeneration#
Definition: D0→D7→D1→D4
Pattern: recovery cascade ignition
threshold_cascade_coherence#
Definition: D7→D1→D4→D0
Pattern: stability cascade ignition
threshold_cascade_oscillation#
Definition: D1→D7→D5→D4
Pattern: volatility cascade ignition
8. Cycle Thresholds#
threshold_cycle_drift#
Definition: rise → peak → decline → reset
Pattern: drift cycle ignition
threshold_cycle_coherence#
Definition: stabilize → expand → peak → soften → reset
Pattern: coherence cycle ignition
threshold_cycle_epochal#
Definition: E5→E6→E7→E0
Pattern: epochal collapse ignition
9. Chain Thresholds#
threshold_chain_collapse#
Definition: D0→D7→D1→D5
Pattern: collapse chain ignition
threshold_chain_regeneration#
Definition: D0→D7→D1→D4
Pattern: recovery chain ignition
threshold_chain_coherence#
Definition: D7→D1→D4→D0
Pattern: stability chain ignition
threshold_chain_oscillation#
Definition: D1→D7→D5→D4
Pattern: volatility chain ignition
10. Web Thresholds#
threshold_web_collapse#
Definition: D0→D7→D1→D5→D0
Pattern: collapse web ignition
threshold_web_coherence#
Definition: D7→D1→D4→D0
Pattern: stability web ignition
threshold_web_oscillation#
Definition: D1→D7→D5→D4→D1
Pattern: oscillation web ignition
threshold_web_identity#
Definition: D2→D4→D1→D2
Pattern: identity web ignition
11. Deep‑Time Thresholds#
threshold_planetary#
Definition: D0,D1,D5,D7↑↑↑ collapse; D7,D1,D4,D0↑↑↑ coherence
Pattern: planetary ignition
threshold_biospheric#
Definition: collapse → regenerate → stabilize → expand → coherence → collapse
Pattern: biospheric ignition
threshold_geological#
Definition: instability → collapse → stabilization → expansion → coherence → instability
Pattern: geological ignition
12. Threshold Dictionary Summary#
This dictionary defines:
- Drift Thresholds
- Coherence Thresholds
- Resonance Thresholds
- Regime Thresholds
- Propagation Thresholds
- Substrate Thresholds
- Cascade Thresholds
- Cycle Thresholds
- Chain Thresholds
- Web Thresholds
- Deep‑Time Thresholds
This is the complete threshold lexicon of the Conditions Substrate Model.