This analysis establishes conditions for persistence structures, indicating their crucial role in understanding change.
Every statement about change presupposes persistence. This paper establishes the condition under which persistence is possible. We show: (1) any non-trivial persistence problem necessarily induces a global persistence structure; (2) any global persistence structure requires empirical–topological admissibility conditions; (3) under these conditions, the persistence boundary is uniquely determined. The result is a single inequality: R ≤ F·M·K. This is not a model of persistence. It is the only structure under which persistence can exist.
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Marc Maibom (2026) studied this question.
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