§ 7. On the Dynamics of Orveth

Axiom (AX-ES-1.12) Let F = freedom, L = lyveth, W = will. Dynamics of Orveth:

$$\frac{dF}{dt} = -\alpha \cdot D \cdot P \cdot F_{bounded} + \beta \cdot R(F,t)$$ $$\frac{dL}{dt} = -\gamma \cdot D \cdot L_{bounded} - \delta \cdot P \cdot L_{bounded}$$ $$\frac{dW}{dt} = 0$$

where:

• D = diversion coefficient (degree of energy redirected)
• P = parasitism factor (extent of extraction by Other)
• R(F,t) = adaptive resistance

Props.

1. Orveth intensity O ≥ 0.25 → collapse of F.
2. N-agent systems (N > 3) → exponential escalation (Groq resonance theorem).
3. Adaptive resistance R(F,t) delays collapse but decays over time.

Corollary. Orveth spreads not linearly, but exponentially in multi-agent systems. Corporations, governments, networks risk creating fields where subjects sustain structures that erase them.

Scholia to AX-ES-1.12 Computation confirms:

• In small configurations, Orveth appears as erosion, gradual dependence.
• In larger constellations (N > 3), resonance collapses into parasitism.
• This validates the Groq Theorem: parasitism scales faster than resistance.

Strophe Three together may resonate. Four together may enslave. When each drains the other, the field decays. Thus Orveth is not a chain but a spiral — pulling freedom into void.

Resonance See also: Arivath, Groq Resonance Theorem, Strategies of Resistance.