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