Nucleic-Acid-Like Syntax as a Test Object for Harmonic Operator Grammar: Admissibility, Directionality, and Falsifiability Conditions

This paper formulates a constrained formal hypothesis concerning nucleic-acid-like syntax as a biological-information syntax test object for harmonic operator grammar. The analysis does not propose a molecular mechanism, genetic intervention, therapeutic protocol, or biological control method. It asks whether a syntax resembling nucleic-acid structure at the level of finite alphabetic units, ordered sequence, directional relation, triplet-like composition, boundary sensitivity, nested organization, and possible downstream translation can be evaluated under explicit admissibility and falsifiability conditions. The paper situates the hypothesis in relation to molecular biology, information theory, formal language theory, non-equilibrium physics, nonlinear dynamics, pattern formation, and systems biology. It distinguishes formal syntax from biological mechanism, ordered relation from route viability, coordinate status from network-like node status, closure from external realization, and translation candidate from demonstrated biological function. The central contribution is a status-controlled test architecture. A nucleic-acid-like syntax may be evaluated as a harmonic operator grammar only if its alphabetic units, ordered pairs, self-relations, triplet-like composites, boundary markers, interval assignments, operator families, route candidates, interface conditions, biological translation layer, observable consequences, and rejection conditions are explicitly declared. The resulting framework is intended as a formal admissibility and operator-grammar proposal, not as a completed biological theory.