All-Sky Infrared Mapping within the Cosmic Algorithm Theory - 12: A Field-Bridge Framework for Interpreting SPHEREx Data

This paper presents a field-level interpretive framework for analyzing the first all-sky near-infrared spectral maps produced by the SPHEREx mission. Unlike traditional object-centric or single-mechanism cosmological analyses, SPHEREx provides continuous spectral coverage across the entire sky, revealing large-scale coherence, smooth gradients, and localized breakdowns that are not readily captured by catalog-based approaches. Cosmic Algorithm Theory-12 (CAT-12) is introduced as a non-disruptive, systems-level scaffold for interpreting these field-continuous observations. The framework emphasizes resonance corridors, tolerance bands, and threshold-driven regime shifts as organizing principles governing the interaction of gravitational dynamics, baryonic structure, radiative processes, and feedback mechanisms. CAT-12 does not propose new physical laws; rather, it contextualizes established cosmological mechanisms within a coupled-field architecture suited to all-sky spectral data. Applied to SPHEREx observations, the framework interprets the Galactic plane as a persistent coherent corridor, spectral gradients as indicators of proximity to threshold behavior, and localized disruptions as bounded breakdowns embedded within global structure. The analysis further explores implications for large-scale structure formation, dark matter as a structural constraint on baryonic organization, and exoplanetary environments framed as resonance bands within nested stellar–galactic contexts. This work is intended as an interpretive bridge between emerging field-continuous observational regimes and existing cosmological theory. It provides a structured language for organizing complexity without overextension, offering a disciplined pathway for engaging with next-generation all-sky spectral datasets.