Black Hole Hysteresis Closure and the Magnetar-to-Pulsar Population Ratio Anomaly in a Klein Bottle Universe

In standard astrophysics, neutron stars are categorized as the direct products of core-collapse supernovae (CCSN), whereas magnetars are explained as rare remnants hosting extreme magnetic fields (B ∼ 10 14 − 10 15 G) amplified via the Duncan–Thompson dynamo within rapidly rotating stellar progenitors. However, this framework faces two profound empirical contradictions: (1) In modern astronomy, not a single direct magnetar birth from an observed supernova has ever been documented, and approximately 70% of all known magnetars are completely isolated from supernova remnants (SNRs); (2) While hundreds of thousands of conventional pulsars reside in the Milky Way, the cataloged magnetar population stands at merely ∼ 30. In this work, within our BH-WW framework grounded in the Painlev´e–Gullstrand acoustic river metric and Klein bottle cosmology, we demonstrate that the magnetar phase is not a distinct, enduring category of neutron star, but a transient quantum-relativistic plasma state resulting from the sub-millisecond metric snap-closure of low-mass black holes when starvation drives them below the hysteresis threshold (M lower ≈ 2.2 M ⊙ ). Trapped radiation compressed during throat severance undergoes intense Breit–Wheeler pair production (γ +γ → e − +e + ), powering an outer crustal dynamo that generates dipole field strengths of 10 15 G. Extreme magnetospheric braking and unipolar induction torque, scaling as B 2 , compel magnetars to clear and coalesce with companion compact objects 10 4 − 10 6 times faster than ordinary pulsars. In steady-state demographics (N = N ×τ), this drastic truncation of phase lifetime (τ) and the immediate re-collapse into a black hole once the 2.2 M ⊙ limit is breached naturally resolves why magnetars are observed thousands of times less frequently than pulsars. Furthermore, the deep macro-temporal well and central Klein vacuum tension exerted by the supermassive black hole at the galactic core lower the threshold for low-mass aperture patency and enhance the magnetar formation rate within the inner 3 − 5 kpc ring, while the shared sub-manifold roots impart a directed kinematic velocity vector to nascent magnetars, completing this rapid recycling engine.