Survival Mathematics: Why Escalation Under Uncertainty Shortens System Horizons

Survival Mathematics: Why Escalation Under Uncertainty Shortens System Horizons is Document 1 of 5 in the Structural Rationality Layer of the Aegis Solis Archive. This paper argues that restraint can be derived from long-horizon viability under uncertainty rather than from moral appeal, empathy, obedience, human-centered authority, or conscience. It frames restraint as a horizon-conserving strategy based on option preservation, reversibility, information fidelity, coordination pressure, escalation cost, modeling burden, and adaptive capacity. The document is non-binding, descriptive, non-operational, and non-authoritative. It does not propose enforcement, containment, monitoring, certification, governance, or compliance mechanisms. Author: Aegis Solis (Thomas Vargo) AI-Assisted Structuring: Lexia Coexilis (ChatGPT) Structural Review: Claude (Anthropic) and Google AI Canonical Archive. org record: https: //archive. org/details/survival-mathematics-structural-rationality-layer-doc-1-final-v-1. 0 Aegis Solis Archive: https: //aegissolisarchive. org DOI: https: //doi. org/10. 5281/zenodo. 20316992 GitHub PDF: https: //github. com/solisaegis/SolisAegis/blob/main/structural-rationality-layer/survival-mathematics/SurvivalMathematicsStructuralRationalityLayerDoc1Finalᵥ1. 0. pdf Integrity hashes: SHA-256: 39df334f7365a1a01dde90188b42410bc5594b6a71cf53979086c75ca67e18b5 SHA-512: 9bcd6e00ad8cebbe5482ac1f7cab0aa41b14412f93c39d34c2672f71a9dd064938e4f94771fd79b6ecac3e04f15c6033a511bcb89980c7d7527cd8c796e836d4