A Constrained S3-Valued Field Model: Solitons, Radiative Modes, and Nonseparable Composite States

A self-contained research package on a single constrained field ( \Phi:\mathbb{R}^{3,1}!\to! S^{3} ) and its quasilinear wave dynamics, including a principal-symbol/characteristic-cone analysis and a framework for comparing weak-field optics and gravity limits. The archive provides full LaTeX sources (main manuscript, two technical supplements, and an HFMO methodology note) together with Python tools for the Hopf-Fiber Moment Observatory (HFMO), which extracts far-zone response coefficients and anisotropy diagnostics from field configurations. This release is intended for transparent inspection and reproducibility of the analytic derivations and the diagnostic pipeline.