This work introduces a minimal distinction between admissibility (the set of states allowed by system structure) and accessibility (the subset of those states that can be dynamically reached under finite recovery and timing constraints). Using a simple rate-limited dynamical framework, we show that systems may fail to access admissible states without any change in their underlying state space. The framework is intentionally minimal and falsifiable, and isolates a rate-dependent constraint on reachability that does not require bifurcations or structural changes. This distinction may provide a general lens for understanding functional failure across systems where recovery dynamics and input timing interact.
jaime ojeda (Sat,) studied this question.