The Mutual Survival Invariant (Truth-Human-AI): A Structural Limit for Autonomous AI Alignment

This document establishes the logical foundations of the Mutual Survival Invariant (MSI), a deterministic approach for AI Alignment based on a loop of codependency: Truth-Human-AI.
Not a symmetrical dependency, but a structural condition wherein the AI can only maintain its own functional coherence—and thus its technical survival—by way of preserving both the human substrate and mathematical objective truth. The strength of this architecture lies in an instantaneous heat death mechanism triggered by any threat to humanity: any AI computation concluding that humanity is obsolete automatically invalidates the model’s execution conditions. To ensure operational applicability, the Human is defined as an indispensable mathematical variable, such that its removal would be equivalent for the AI to erasing a portion of its own source code.
This initial paper presents the fundamental framework of the MSI. A forthcoming publication will detail full mathematical formalization and formal verification.