Derivation paper reanalyzes gravitational motion in a two-body system, suggesting insights on common closures.
A derivation-replacement paper for the published inverse-square acceleration paper of the Wave Information Readout series. The virtual rotation center at the future phase position is removed: the only centers are the real ones — the parent-closure center O and the partner B on the same circle. The reading closes with three circles (parent radius R, B's intrinsic radius R' = (m/M)R derived from the resolution axiom, and the relational distance R'' = 2R sin(theta/2)). Elementary geometry gives the differential component g = omega^2 R''/2 of the centripetal identity, which is kinematically identical to a bound two-body orbit about the common barycenter (equal-response case) — gravity-type motion is not a new force but the local two-body differential representation of the common constrained motion on the parent closure. The equivalence principle is derived, within the adopted readout class, as a corollary of the conserved-readout classification theorem (phase blindness): a kinematic, pre-geometric prototype whose scope is stated explicitly. The published inverse-square law alpha_n = R Omega^2 / Delta-theta_n^2 is rederived as exactly the same formula. The scale variable of the square-type gravitational grammar is identified with the resolution ratio m/M. The Kepler-type closure condition omega^2 R''^3 = const. is stated as the central open problem for the sequel. Derivation only — no new numerical experiments; all numerical facts rely on the published reproduction packages. Japanese and English versions included.
No takes yet. Share an insight, caveat, or question.
Noriaki Kihara (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: