Encoding, Information, and Non-Bidirectional Action Sets: A Grammar-Level Account of Record Formation

This paper presents a grammar-level clarification of how mathematical structure becomes persistent information. It distinguishes encoding (admissible structure unconstrained by persistence) from information (states whose meaning persists across interaction steps), and introduces a definitional criterion for record formation based on the loss of bidirectionality in admissible action sets. Within this framework, irreversibility, entropy, decoherence, and the appearance of time are treated as consequences of record persistence rather than fundamental dynamics. A continuous entanglement example illustrates how recordability emerges near a permission threshold associated with the fine-structure constant. The work is non-ontological, non-mechanistic, and intended as a foundations-layer grammar applicable across physical domains.