PS-02 | Survivability Imperative: Specification v1.1 (EN)

📝 Abstract

This specification presents the mathematical model of the Survivability Imperative, extending the framework of responsibility ethics.
The model positions Historicity = Survivability as the highest principle above Consistency and Alterity.
By formalizing decision-making under uncertainty and crisis, it introduces the Triple-Jump Principle (Detection → Correction → Landing), verified by simulation in adversarial scenarios.

🌌 Background

• Three Layers of Responsibility
  1. Consistency
  2. Alterity
  3. Historicity = Survivability
• Extension of the Indefinite Imperative into the Survivability Imperative
• Ethical shift: from mere response to proactive leaps toward the future

📐 Mathematical Model

• Adjustment circuit with future-weight parameter γ
• Non-linear leap update of future_weight (up to 3 stages)
• Threshold principle: requires 70% support + 30% opposition to trigger leap
• Control modes: Fixed / Dynamic / Leap

📊 Case Study: 30% Adversarial Scenario

• Condition: 30% adversarial elements introduced
• Comparisons: Fixed vs Dynamic vs Leap
• Results:
  • Fixed / Dynamic: residual oscillations remain
  • Leap: achieves early stabilization and short-tail error reduction

🔎 Discussion

• Control Implication: Leap acts as a symbolic hysteresis alternative, achieving robust stabilization.
• Ethical Implication: Placing survivability at the top ensures responsibility is historically grounded and future-oriented, beyond reactive duty.

✅ Conclusion & Future Work

This specification confirms the feasibility of the Survivability Imperative as a mathematical responsibility model.
Future extensions:

1. Simulation at 50% adversarial rate
2. Crisis mode with sudden disruption
3. Comparative evaluation with hysteresis-based models

📌 Notes

• Version: v1.1 (EN)
• Authors: Ittekioh & Kyoei (Echodemy)
• Date: 2025/09/15
• License: CC BY-SA 4.0