Structural Propagation Bounds under Local Updates: Reachability, Schedule, History, Capacity, and State-Continuation

Abstract

This preprint presents a structural propagation-bound framework for local-update systems, distinguishing structural reachability from schedule-, history-, capacity-, and continuation-dependent constraints. It also gives a limited formal comparison with finite-rate and cone-like representations without identifying update stages with physical time or deriving relativistic spacetime. AI assistance Developed with assistance from OpenAI ChatGPT, including GPT-5.5 Thinking and GPT-5.6 Sol, for conceptual discussion, formalization, review, and manuscript revision.