Spectral–Geometric Regulation of Radio Transients: Survey Bias, Magnetospheric Morphology, and Observational Recoverability

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Abstract

The author presents a unified observational and theoretical investigation of spectral–geometric additive–multiplicative (AM) regulation as applied to radio pulsars, magnetars, and transient neutron-star populations. Building directly on earlier scale-regulated aggregation and spectral–geometric formulations, this work focuses on survey-level consequences: detectability, nulling statistics, burst intermittency, and magnetic-context bias. Using curated public pulsar and magnetar catalogues, long-term timing datasets, and synthetic survey reconstructions, the author demonstrates that many apparent population dichotomies arise from regulator–survey coupling rather than intrinsic source physics. [1][2][3][4] Explicit tables quantify pre- and post-regulation observables, recovery fractions, and survey incompleteness. This paper provides a complete, copy-ready experimental and interpretive framework for radio astronomers.

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