The Enchan Field Across Scales: One Effective Metric from Terrestrial Constrained Chaos to Planetary Screening, Wide Binaries, and Stellar Light Deflection

This record archives Version 1.0 of The Enchan Field Across Scales: One Effective Metric from Terrestrial Constrained Chaos to Planetary Screening, Wide Binaries, and Stellar Light Deflection, together with the associated equation-traceability data and reproducibility materials. The purpose of this work is to test whether the existing Enchan Field framework can be followed consistently from a common continuous order field S(x,t), through its finite-tension and phenomenological screening structure, into a single proposed weak-field effective metric, and from that metric into two distinct observable branches: massive-matter dynamics and light propagation. The same framework is applied without introducing pendulum-specific, satellite-specific, wide-binary-specific, or lensing-specific phenomenological parameters. On the matter side, the metric-derived response recovers strongly screened terrestrial constrained dynamics. The generic Cartesian constrained-matter solver reproduces the established single- and double-pendulum limits and was subsequently tested without topology-specific equations through N=6, with additional numerical stress tests through N=10. The same frozen screening interface predicts negligible deviations across Solar-System planetary and satellite environments, while an isolated 1M⊙ reference at 5000 AU retains the previously frozen ∼4.98% low-acceleration deviation. The archived Gaia EDR3 wide-binary population screen showed an upward velocity trend in the same low-acceleration regime, although a subsequent mass-normalized re-binning robustness test did not improve the correspondence and is retained here as a negative result. On the light-propagation side, the same effective metric yields a prospective stellar-lensing prediction with a positive excess deflection, Δα≈+0.52μas, at an impact parameter of 5000 AU for an isolated 1M⊙ source. This archive is intended as a cross-scale consistency and reproducibility record, not as a claim of a completed unified theory of gravity. The effective metric remains a weak-field proposal; the screening functions remain phenomenological rather than uniquely derived from a fixed K(X); matter-to-field backreaction remains incomplete; the hierarchical satellite calculation uses a scalar-aligned proxy; the Gaia comparison remains preliminary; and direct observational validation of the predicted large-impact-parameter stellar lensing signal is currently data-limited. The reproducibility package includes the manuscript and LaTeX source, machine-readable equation traceability, N-link scaling results and execution code, hierarchical planetary/satellite screening calculations, stellar-lensing calculations, prediction tables, figures, and supporting documentation. Licensed under the Enchan Research & Verification License v1.0. The full license text is included in Enchan_Field_Cross_Scale_Synthesis_v1.0.zip. Version: 1.0Date: August 16, 2026