Population-Level Effects of Spectral–Geometric Regulation in Pulsar and Magnetar Surveys

Large radio surveys of pulsars and magnetars are fundamentally limited by sensitivity thresholds, distance-dependent selection effects, and heterogeneous noise characteristics across instruments. These limitations complicate population inference, particularly at the low-luminosity and long-period ends of the distribution. Building on prior evidence that spectral–geometric additive–multiplicative (AM) regulation enhances transient detectability without artificial amplification, this paper examines its consequences at the population level. Using curated subsets of publicly available pulsar and magnetar catalogs (50-source baseline samples), the author compares detection fractions, inferred luminosity distributions, and distance completeness before and after regulation. The author finds that AM-regulation systematically recovers sub-threshold sources while preserving the statistical form of intrinsic population distributions. The results suggest that the regulator acts as a bias-mitigating transformation rather than a population-altering filter, offering a conservative pathway to improved survey completeness.