[DEPRECATED] Gravitational Constant from Cycle Geometry (Superseded by a non-circular UFE / Green-Function derivation)

This document represents an early heuristic exploration of gravitational scaling within the coherence / Swarm framework. Subsequent analysis revealed that the derivation implicitly relies on Planck-time identification and therefore does not constitute an independent first-principles derivation of Newton’s gravitational constant.

The result has been superseded by a later weak-field Unified Field Equation (UFE) and Green-function derivation that avoids circular definitions and provides a dimensionally explicit, non-tautological formulation.

This record is retained for transparency and historical continuity but should not be cited as the authoritative gravity derivation.

Superseding work:
“Gravitational Constant from Coherence Geometry via Weak-Field UFE and Green-Function Normalization”