Structural Gravity Theory v1.1: Effective Structural Metric and Weak-Field Relativistic Correspondence

Structural Gravity Theory (SGT) v1.1 extends the structural framework introduced in SGT v1.0 by establishing a bridge between structural gravity and weak-field relativistic observables. The theory promotes the single structural potential to a pair of structural potentials (Φ, Ψ), constructs an illustrative effective structural metric, and derives four observable channels: Massive-particle motion Light deflection Gravitational time dilation / redshift Structural wave propagation These observables are organized into a parameterized framework using the structural parameters (ηs, γs, βs, cs, DC, τC), together with an explicit falsifiability map relating each parameter to current and future observational tests. This release includes: the complete 19-page manuscript; all 15 high-resolution figures (Figures 1–12 inherited from SGT v1.0; Figures 13–15 newly introduced in v1.1); a reference Python implementation of the weak-field observable channels; documentation and licensing files. The effective metric and parameterization presented in this work are explicitly illustrative. No parameter fitting or claim of equivalence with General Relativity is made. Instead, the purpose of v1.1 is to provide a testable, predictive, and falsifiable observational framework for future investigation.