NAMING THE RESOLUTION Spatial, Phase, Chirality, and Infratier Structure Four Connected Terms for Generator-Resolved Closure Physics

Abstract

Spatial → Spatial–Phase → Spatial–Phase–Chirality → Spatial–Phase–Chirality–Infratier P → S | S → SP → SPC → SPCI As a physical framework develops, terminology adequate at one stage can become ambiguous at a later stage. This is particularly true when a single expression is asked to describe both an ontological relation and a mathematical decomposition. This note distinguishes four connected structural terms: Spatial, Spatial–Phase, Spatial–Phase–Chirality, and Spatial–Phase–Chirality–Infratier. The sequence is proposed as a resolution vocabulary: each successive term names an additional structure that has been explicitly distinguished rather than merely assumed. This vocabulary is separated from the expression phase-spatial, which has a different purpose. Phase-spatial describes an explanatory or disclosure direction in which phase organization participates in the disclosure of physical spatial structure. Spatial-phase, by contrast, names the resolved structural pair consisting of spatial and phase organization. Naming order ≠ ontological generation order. Consequently, Phase–Spatial and Spatial–Phase need not be interchangeable expressions. Their ingredients overlap, but their semantic arrows differ. The resulting terminology provides a compact vocabulary for discussing increasingly resolved structures without forcing claims about ontological priority into every compound name.