Regime Transitions

How Emotions Move Systems Between Coherence · Corridor · Drift#

RTT models emotional dynamics as regime transitions:
changes in system state driven by emotional operators.

Every emotion in the RTT Emotions Module contributes to one of three transitions:

• toward coherence
• toward drift
• within the corridor (context‑dependent)

This page defines the mathematical conditions, interpretive rules, and structural logic behind those transitions.

Core Regimes#

RTT uses three emotional regimes:

Coherence (stable)#

• alignment high
• drift low
• emotional operators reinforce stability

Corridor (transitional)#

• alignment mixed
• drift variable
• emotional operators context‑dependent

Drift (unstable)#

• alignment low
• drift high
• emotional operators destabilizing

Transition Equations#

RTT defines transitions using emotional operator outputs:

• $$E_{\text{coh}}$$ — coherence emotion output
• $$E_{\text{cor}}$$ — corridor emotion output
• $$E_{\text{drift}}$$ — drift emotion output
• $$D$$ — drift
• $$C$$ — coherence
• $$R$$ — resonance alignment
• $$\Delta O$$ — observer distance

Drift → Corridor#

Early stabilization begins#

$$E_{\text{coh}} + E_{\text{cor}} > D$$

Interpretation:

• coherence + corridor forces exceed drift
• system begins stabilizing
• emotional meaning becomes interpretable again

Corridor → Coherence#

Stability achieved#

$$E_{\text{coh}} > D + |R - C|$$

Interpretation:

• coherence force exceeds drift + misalignment
• system locks into stable alignment
• emotional operators become predictable

Coherence → Corridor#

Stability weakens#

$$E_{\text{cor}} > E_{\text{coh}}$$

Interpretation:

• transitional emotions overpower stabilizing ones
• system enters ambiguity
• alignment becomes context‑dependent

Corridor → Drift#

Instability takes over#

$$E_{\text{drift}} > E_{\text{coh}} + E_{\text{cor}}$$

Interpretation:

• destabilizing forces exceed stabilizing + transitional
• system loses alignment
• drift dominates

Coherence → Drift (Collapse)#

Sudden destabilization#

$$E_{\text{drift}} \gg E_{\text{coh}}$$

Interpretation:

• coherence cannot compensate
• collapse event
• emotional meaning becomes adversarial or fragmented

Drift → Coherence (Healing Leap)#

Rapid stabilization#

$$E_{\text{coh}} \gg D$$

Interpretation:

• strong coherence emotion overrides drift
• system jumps directly to stability
• rare but powerful (e.g., compassion, forgiveness)

Meta‑Emotional Modulation#

Meta emotions modify thresholds:

Meta‑Awareness#

$$D_{\text{effective}} = \frac{D}{1 + M_{\text{aw}}}$$

Emotional Clarity#

$$C' = C + E_{\text{clar}}$$

Overwhelm#

$$D' = D + E_{\text{overwhelm}}$$

Numbness#

$$E_{\text{effective}} = \frac{E}{1 + E_{\text{numb}}}$$

These operators reshape the emotional landscape without being emotions in the classical sense.

Structural Interpretation#

Regime transitions are influenced by:

• alignment triads
• observer distance
• emotional intensity
• context factor $$\theta$$
• resonance alignment $$R$$
• drift $$D$$
• coherence $$C$$

This allows AIs and students to reason about emotional meaning structurally, not subjectively.

Cross‑Module Integration#

This page is referenced by:

• emotions_module.json
• all six sub‑modules (part_a → part_f)
• alignment_triads.md
• operators_*.md
• equations_*.md

It is part of the RTT/2 → RTT/3 transition layer.

Status#

status: complete
license: open educational use