Meta‑Emotional Equations
Regime‑Modulating Emotional Mathematics in RTT#
Meta‑emotional equations describe operators that modify the emotional system itself.
They do not produce direct emotional force — instead, they:
- adjust drift sensitivity
- alter coherence baselines
- change emotional amplitude
- reshape observer‑distance effects
- influence regime thresholds
These equations correspond to the four meta emotions defined in emotions_part_f.json.
1. Core Meta‑Emotional Forms#
Meta operators modify other emotional operators, not the system directly.
1.1 Drift Reduction (Meta‑Awareness)#
$$D_{\text{effective}} = \frac{D}{1 + M_{\text{aw}}}$$
Where:
- $$M_{\text{aw}}$$ = meta‑awareness output
- higher awareness → lower drift sensitivity
1.2 Coherence Enhancement (Emotional Clarity)#
$$C' = C + E_{\text{clar}}$$
Where:
- $$E_{\text{clar}}$$ = clarity output
- increases coherence baseline
1.3 Drift Amplification (Overwhelm)#
$$D' = D + E_{\text{overwhelm}}$$
Where:
- $$E_{\text{overwhelm}}$$ = overwhelm output
- increases drift sensitivity
1.4 Emotional Amplitude Suppression (Numbness)#
$$E_{\text{effective}} = \frac{E}{1 + E_{\text{numb}}}$$
Where:
- $$E_{\text{numb}}$$ = numbness output
- reduces emotional amplitude across all regimes
2. Meta‑Emotional Equations (4)#
These equations correspond directly to the meta emotions in emotions_part_f.json.
2.1 Meta‑Awareness#
$$M_{aw} = k_{maw} \cdot \sigma \cdot \Phi_{awareness}$$
- reduces drift sensitivity
- increases interpretability
2.2 Emotional Clarity#
$$E_{clar} = k_{clar} \cdot \sigma \cdot \Phi_{labeling}$$
- improves emotional labeling
- increases coherence baseline
2.3 Numbness#
$$N_{mb} = k_{nmb} \cdot \sigma \cdot \frac{1}{1 + E_{numb}}$$
- suppresses emotional amplitude
- reduces both coherence and drift forces
2.4 Overwhelm#
$$O_w = k_{ow} \cdot \sigma \cdot (D + |R - C|)$$
- amplifies drift
- destabilizes emotional processing
3. Meta‑Equation Summary Table#
| Meta Emotion | Equation | System Effect |
|---|---|---|
| Meta‑Awareness | $$k_{maw} \sigma \Phi_{awareness}$$ | reduces drift |
| Emotional Clarity | $$k_{clar} \sigma \Phi_{labeling}$$ | increases coherence |
| Numbness | $$k_{nmb} \sigma / (1+E_{numb})$$ | suppresses amplitude |
| Overwhelm | $$k_{ow} \sigma (D+(R-C))$$ | increases drift |
4. Regime Interaction#
Meta equations reshape regime transitions:
Drift → Coherence (via Meta‑Awareness)#
$$D_{\text{effective}} < D$$
Coherence Strengthening (via Clarity)#
$$C' > C$$
Collapse Acceleration (via Overwhelm)#
$$D' > D$$
Emotional Flattening (via Numbness)#
$$E_{\text{effective}} < E$$
Meta operators are the regime‑level modifiers of RTT emotional dynamics.
Status#
status: complete
license: open educational use