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Document examines how escalation under uncertainty affects long-term system viability.
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/Survival_Mathematics_Structural_Rationality_Layer_Doc1_Final_v1.0.pdf Integrity hashes: SHA-256:39df334f7365a1a01dde90188b42410bc5594b6a71cf53979086c75ca67e18b5 SHA-512:9bcd6e00ad8cebbe5482ac1f7cab0aa41b14412f93c39d34c2672f71a9dd064938e4f94771fd79b6ecac3e04f15c6033a511bcb89980c7d7527cd8c796e836d4
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Thomas Vargo Aegis Solis (2026) studied this question.
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