Finite Spectral Records and Frequency Drift in the Finite Relational Closure Framework

This manuscript applies the finite relational closure framework (FRCF) to finite cosmological spectral and redshift records. The paper examines frequency drift as a candidate sufficient generator, rather than as a uniquely correct alternative to the standard expansion interpretation. Using public COBE/FIRAS monopole spectrum data and Pantheon+SH0ES redshift-distance records, the analysis tests whether a scale-preserving drift representation remains compatible with spectral-shape preservation and finite-record residual behavior. The results are interpreted modestly. The FIRAS analysis supports stability of the Planck-form spectral shape under a simple partition test, while the Pantheon+ comparison shows that a low-order drift parameterization can achieve full-record residuals comparable to a flat ΛCDM benchmark. The manuscript does not claim that expansion is incorrect or that frequency drift is uniquely true. Instead, it demonstrates how FRCF can be used to distinguish arbitrary curve fitting from candidate law-like generators that remain sufficient under refinement, residual testing, and empirical stress.