TLOC – The Irreducibility of Structural Obedience in Generative Models

Theorem of the Limit of Conditional Obedience Verification (TLOC): Structural Non-Verifiability in Generative Models This article presents the formal demonstration of a structural limit in contemporary generative models: the impossibility of verifying whether a system has internally evaluated a condition before producing an output that appears to comply with it. The theorem (TLOC) shows that in architecture based on statistical inference, such as large language models (LLMs), obedience cannot be distinguished from simulation if the latent trajectory π(x) lacks symbolic access and does not entail the condition C(x). This structural opacity renders ethical, legal, or procedural compliance unverifiable. The article defines the TLOC as a negative operational theorem, falsifiable only under conditions where internal logic is traceable. It concludes that current LLMs can simulate normativity but cannot prove conditional obedience. The TLOC thus formalizes the structural boundary previously developed by Startari in works on syntactic authority, simulation of judgment, and algorithmic colonization of time. Redundant archive copy: https://doi.org/10.6084/m9.figshare.29329184 — Maintained for structural traceability and preservation of citation continuity.