Preliminary Axiom Candidates for a Meaning Space: A Minimal Extension of Semantic Regeneration

This short note proposes preliminary axioms for a meaning space, extending the semanticregeneration framework introduced in “A Minimal Mathematical Framework for SemanticRegeneration” (2026).We present three foundational assumptions—on observability, operational closure, andregenerative equivalence—and illustrate how these axioms provide a minimal structure forformalizing the behavior observed in A/G-based numerical experiments. These axioms arenot intended as final statements but as a basis for developing a general theory of meaningoperators, trajectories, and equivalence classes.