This work introduces a connection-based formulation of Structural Differentiation Gravity (SDG). Instead of describing gravity solely through gradients, this framework extends the description toward connection-based dynamics, where transport, propagation, and curvature emerge from structural properties. In this perspective, structure is not treated as residing in space, but as contributing to how motion and evolution are realized. A phenomenological connection field Γμ(x,t) is introduced to represent structural transport, and curvature is interpreted as a manifestation of path-dependent transport mismatch. The framework suggests that gravitational and dynamical phenomena may be reinterpreted in terms of structural connection dynamics, while remaining compatible with existing observational constraints. All figures are reproducible using the provided Python script. --- Key insight: Structure tells geometry how to exist.
Koji Okino (Tue,) studied this question.
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