Search Without Truth: A Cross-Domain Invariant in AI Mathematical and Reasoning Systems

AI systems applied to mathematics and reasoning across three domains (formal theorem proving, inverse PDE solving, LLM reasoning) are evaluated under the TRIDENT/TTR-1 analytical framework. A universal structural invariant is identified and validated across domains. This work introduces no new empirical results; it provides a cross-domain structural evaluation of existing systems.Resource type: Working Paper Keywords: AI, theorem proving, inverse problems, PDE, LLM, validation, TRIDENT, invariant, search accelerator