Availability of Temporal and Spatial Structure: A Pre-availability Analysis

This work establishes a pre-availability structural framework specifying the minimal conditions under which temporal and spatial structure may become available on a path space. Time and space are treated not as primitive background structures, but as relational forms admitted only when their respective structural resolvability conditions are satisfied. Temporal comparability is introduced as the condition for order-type structure, and spatial distinguishability as the condition for proximity-type structure. The joint polarity of these two minimal resolvability conditions induces a finite and structurally closed availability phase space consisting of exactly four differentiation pairs. Each differentiation pair admits a distinct expressed form, providing a purely structural basis for standard descriptive quantum patterns such as superposition, entanglement, interference envelopes, and localization. No dynamical laws, metric assumptions, probabilistic postulates, or microscopic modeling are introduced. The framework is formulated entirely at a pre-availability structural level and is logically prior to any physical theory that presupposes temporal or spatial structure. It provides a minimal and internally complete structural basis for subsequent developments of availability, expression, representation, and outcome. This record corrects a technical file upload issue affecting a previous version and serves as the citable record for this manuscript.