Spectral–Geometric Regulation and Information-Theoretic Limits in Radio Astronomy

This paper completes the Spectral–Geometric Additive–Multiplicative (AM) regulation series by framing radio pulsar and magnetar observations within explicit information-theoretic limits. Building on earlier demonstrations that AM-regulation stabilizes weak spectral coherence without introducing artificial correlations, the author shows that many long-standing observational ambiguities arise from entropy loss at the survey–analysis interface rather than intrinsic source complexity. ^[1] Using pulsar timing archives, magnetar burst datasets, and controlled synthetic surveys; the author quantifies how regulation redistributes information across spectral, temporal, and geometric channels. Demonstrating that AM-regulation operates near optimal recoverability bounds, preserving Shannon information while reducing spurious entropy introduced by thresholding and cadence. ^[1][8] The framework provides a conservative bridge between raw radio data and physical inference, clarifying what can and cannot be learned from current and next-generation radio surveys.