Comparative Topological and Spectral Cross-Examination of Category B Astrophysical Anomalies and Technosignature Candidates

This study presents a comparative topological and spectral analysis of Category B astrophysical anomalies, which exhibit parameters deviating from standard emission models. The methodology isolates anomalous metrics by mathematically subtracting the verified physical boundaries of natural astrophysical emitters (such as thermal broadening limits, orbital Doppler drift constraints, and cosmological dispersion measure baselines) from the observed signal data. The resulting physical residuals highlight specific structural parameters—such as sub-10 Hz bandwidths, unexplained excess acceleration, and discrete phase-locked quantization—that remain unaccounted for by currently known macroscopic physical processes. The analysis aggregates spatial coordinates and observational timestamps to establish a foundational framework for evaluating non-standard structural modulation in radio transients.