This paper reformulates the axiom of topological degrees of freedom as a conceptualfoundation for Dimensional-Structural Describability. The central question is not merelywhat an observer measures, but what a descriptive regime can define as a coherent structure.We distinguish observation from describability and define a structural observer as a set ofadmissible conditions under which objects, relations, boundaries, continuities, connectivities,separations, and accessibility relations become meaningful.Within this framework, topological degrees of freedom are not additional spatial dimensions, hidden variables, new physical entities, or ordinary dynamical degrees of freedom.They are admissible structural conditions that constrain what can be described in the firstplace. The axiom proposed here does not replace existing physical theories; it clarifies aprior layer of structural admissibility normally presupposed before theory-specific quantities, coordinates, observables, or boundary conditions are assigned.The paper also clarifies a point implicit in lower-dimensional descriptive-regime thoughtexperiments: ordinary force composition presupposes that the relevant force componentsare defined within the same admissible descriptive regime. If a regime lacks the degree offreedom required to define a given direction, then the corresponding force component is nota hidden internal force and is not a zero component; it is not a well-defined term of theinternal resultant-force description.The present work is deliberately limited. It does not derive a dynamical law, a propagation constraint, a gravitational response, a quantum measurement rule, or an observational validation. Mathematical functional realization through weighted effective dimension,time-dependent structural reorganization, structural information propagation, and effectivephysical applications belong to subsequent developments.
Dominicus Kwon (Tue,) studied this question.