Observational Alignment of USP Field Age with JWST and Gaia Data: A Proxy-Based Test Framework with Reproducible Apertures, Uncertainty Propagation, and Statistical Controls

This paper develops an observational test framework for the USP Field Theory idea that structural maturity may scale inversely with resonance mismatch. The central scaling is written in text form as: T_USP proportional to 1 / Delta f In this document, T_USP is not treated as a replacement for stellar population age. It is defined as a structural maturity or coherence parameter. A galaxy may contain young, active stellar populations while still showing dynamically mature architecture, or it may contain older stellar populations while remaining structurally disturbed. To make the idea testable, the paper defines a reproducible dynamical mismatch proxy: Delta f_dyn = V_ap / R_ap where R_ap is a predeclared aperture and V_ap is a velocity scale measured within that same aperture. For JWST-based analysis, the default aperture is the rest-frame optical half-light radius R_e from NIRCam morphology. For Gaia-based disk-halo tests, the aperture is replaced by predeclared Galactocentric radial bins so that disk and halo populations are compared within the same spatial selection function. The framework uses standard observables: JWST: NIRCam morphology, Sersic radius, structural metrics, NIRSpec velocity dispersion or rotation proxies, SED-based stellar population ages, stellar mass, star-formation rate, and redshift. Gaia: stellar kinematics, disk-halo decomposition, velocity dispersions, orbital coherence statistics, metallicity-population tagging, and radial selection bins. The paper proposes statistical tests connecting Delta f_dyn to structural maturity metrics, luminous age versus dynamical time, and disk-halo ordering. It includes uncertainty propagation, completeness weighting, bootstrap resampling, covariate controls, regression models, null criteria, and selection-effect safeguards. The key dimensionless ratio is: R = t_stellar / t_dyn where t_stellar represents the active or luminous age of visible stellar matter, and t_dyn represents a structural timescale associated with the chosen aperture.