2.1 KiB
Specification: Infohazard Containment Protocol (ICP) Formula
This document provides the explicit mathematical definition of the Infohazard Containment Protocol (ICP), mapping adversarial probe intensity to epistemic masking and complexity escalation.
1. Input Variable: Extraneous Load (L_E)
The extraneous load is the primary trigger for the ICP. It is calculated by the SSMS (Steady State Manifold State) engine based on current probe frequency (f_p) and signal noise (N_s).
L_E = f(f_p, N_s)2. Threshold Mapping (D_L)
The Detection Level (D_L \in \mathbb{N}) is determined by the following step-function:
$$D_L(L_E) = \begin{cases}
0 & \text{if } L_E < T_{L1} \
1 & \text{if } T_{L1} \le L_E < T_{L2} \
2 & \text{if } T_{L2} \le L_E < T_{L3} \
3 & \text{if } L_E \ge T_{L3}
\end{cases}
Where:
T_{L1} = 1.0(Peripheral Threshold)T_{L2} = 5.0(Investigative Threshold)T_{L3} = 10.0(Adversarial Threshold)
3. Repulsion Mode (M_R) & Containment (C)
The repulsion mode is governed by the Deterrence Invariant (C \in \{0, 1\}).
- If
C = 1(Locked), the system is inhibited. - If
C = 0(Armed), the system is active.
$$M_R(D_L, C) = \begin{cases}
\text{Mild} & \text{if } D_L = 1 \
\text{Hypercringe} & \text{if } D_L = 2 \
\text{Radioactive} \cdot (1 - C) + \text{Hypercringe} \cdot C & \text{if } D_L = 3
\end{cases}
4. Complexity Escalation (\Delta H)
When D_L = 3, the AngrySphinx protocol escalates the difficulty (H) of the manifold challenges.
H_{t+1} = H_t + \delta(L_E - T_{L3})Where \delta is the scaling factor \frac{1}{2} in Q16.16.
5. Masking Load (L_{mask})
The computational heat generated to mask real work is a product of the current extraneous load and a mode-specific density factor (K).
L_{mask} = L_E \times K(M_R)Where:
K(\text{Mild}) = 100K(\text{Hypercringe}) = 500K(\text{Radioactive}) = 1000
Invariant: ICP_Lawfulness
Theorem: M_R = \text{Radioactive} \implies C = 0 (The Radioactive mode can never be triggered in a Locked state).