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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.

Updated

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