Corridor Operators
Transitional Emotional Operators in RTT#
Corridor operators are emotional actions that sit between coherence and drift.
They are context‑dependent, meaning they can:
- move a system toward coherence
- move a system toward drift
- or maintain a transitional state
Corridor operators are the most dynamic emotional operators in RTT.
They represent ambiguity, potential, and directional instability.
Core Corridor Equation#
All corridor operators derive from the general form:
$$E_{\text{cor}} = k_e \cdot \sigma \cdot \theta \cdot (R - D)$$
Where:
- $$R$$ = resonance alignment
- $$D$$ = drift
- $$\theta$$ = context factor
- $$\sigma$$ = emotional intensity
- $$k_e$$ = operator constant
Corridor operators are directional:
- $$E_{\text{cor}} > 0$$ → coherence‑leaning
- $$E_{\text{cor}} < 0$$ → drift‑leaning
Corridor Operators (10)#
These correspond to the 10 emotions in emotions_part_c.json.
1. Curiosity Operator#
Symbol: $$\mathcal{Q}$$
Equation:
$$Q = k_q \cdot \sigma \cdot \theta \cdot (R - D)$$
Effect:
- coherence if aligned
- drift if misaligned
Triad: (+1, 0, +1)
2. Anticipation Operator#
Symbol: $$\mathcal{A}_{nt}$$
Equation:
$$A_{nt} = k_{ant} \cdot \sigma \cdot \theta \cdot (R_{future} - D)$$
Effect:
- future‑oriented alignment
- can amplify drift if expectations break
Triad: (+1, 0, +1)
3. Surprise Operator#
Symbol: $$\mathcal{S}_{pr}$$
Equation:
$$S_{pr} = k_{spr} \cdot \sigma \cdot |\Delta O|$$
Effect:
- neutral baseline
- direction determined by interpretation
Triad: (0, 0, 0)
4. Interest Operator#
Symbol: $$\mathcal{I}$$
Equation:
$$I = k_i \cdot \sigma \cdot \theta \cdot (R - D/2)$$
Effect:
- coherence if aligned
- drift if overstimulated
Triad: (+1, 0, +1)
5. Desire Operator#
Symbol: $$\mathcal{D}_{sr}$$
Equation:
$$D_{sr} = k_{dsr} \cdot \sigma \cdot (A_s - A_o)$$
Effect:
- self‑aligned desire → coherence
- other‑misaligned desire → drift
Triad: (+1, –1, 0)
6. Vulnerability Operator#
Symbol: $$\mathcal{V}_{ln}$$
Equation:
$$V_{ln} = k_{vln} \cdot \sigma \cdot (A_o - A_s)$$
Effect:
- supported → coherence
- unsupported → drift
Triad: (–1, +1, 0)
7. Excitement Operator#
Symbol: $$\mathcal{E}_{x}$$
Equation:
$$E_x = k_{ex} \cdot \sigma \cdot \theta \cdot (R - D/3)$$
Effect:
- coherence if regulated
- drift if overstimulated
Triad: (+1, 0, +1)
8. Nostalgia Operator#
Symbol: $$\mathcal{N}$$
Equation:
$$N = k_n \cdot \sigma \cdot (R_{past} - R_{present})$$
Effect:
- integration → coherence
- longing → drift
Triad: (+1, 0, –1)
9. Ambition Operator#
Symbol: $$ \mathcal{A}_{mb} $$
Equation:
$$A_{mb} = k_{amb} \cdot \sigma \cdot (A_s - A_o + A_w)$$
Effect:
- aligned ambition → coherence
- competitive ambition → drift
Triad: (+1, –1, +1)
10. Confusion Operator#
Symbol: $$\mathcal{C}_{nf}$$
Equation:
$$C_{nf} = k_{cnf} \cdot \sigma \cdot (D + |R - C|)$$
Effect:
- increases drift
- destabilizes alignment
Triad: (–1, 0, –1)
Corridor Operator Summary Table#
| Operator | Symbol | Regime | Drift Effect | Triad |
|---|---|---|---|---|
| Curiosity | $$\mathcal{Q}$$ | corridor | contextual | (+1,0,+1) |
| Anticipation | $$\mathcal{A}_{nt}$$ | corridor | contextual | (+1,0,+1) |
| Surprise | $$\mathcal{S}_{pr}$$ | corridor | contextual | (0,0,0) |
| Interest | $$\mathcal{I}$$ | corridor | contextual | (+1,0,+1) |
| Desire | $$\mathcal{D}_{sr}$$ | corridor | contextual | (+1,–1,0) |
| Vulnerability | $$\mathcal{V}_{ln}$$ | corridor | contextual | (–1,+1,0) |
| Excitement | $$\mathcal{E}_{x}$$ | corridor | contextual | (+1,0,+1) |
| Nostalgia | $$\mathcal{N}$$ | corridor | contextual | (+1,0,–1) |
| Ambition | $$\mathcal{A}_{mb}$$ | corridor | contextual | (+1,–1,+1) |
| Confusion | $$\mathcal{C}_{nf}$$ | corridor | increases | (–1,0,–1) |
Status#
status: complete
license: open educational use