A pure definition paper for Basic Axiom System v5 of the Anonymous Equal-Amplitude Composite-Wave Model. Version v5 adds two axioms while preserving the concept DOI of v3/v4: Axiom 16 (unique observation selection by complete pairwise relational waves) defines independent relational waves on the unordered complete pair set, derives the antisymmetry of the closure-preserving generator, and states the adoption conditions for intrinsically observable directions by distinguishability of rotation planes and uniqueness of the plane normal, which holds only for a three-dimensional spatial display; residual directions are retained as internal subspaces without a unique basis. Axiom 17 (curvature reaction projection centered on the future phase position) maps the center-directed closure compensation of a virtual rotation about the future phase position onto an observable circumferential acceleration of magnitude rhoc omega².
Noriaki Kihara (Tue,) studied this question.
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