Compact Objects in EBIKK-β Gravity: Magnetars, Ergostars and Neutron Stars

This series of studies explores the behavior of compact astrophysical objects within the Entropic-Born-Infeld-Kaluza-Klein (EBIKK) framework with β-regularization. The unified model combines nonlinear electrodynamics, entropic gravity, and extra-dimensional compactification topredict:• Magnetars with ultra-strong magnetic fields (Bmax ∼ 1018 G) andmodified X-ray emission spectra• Stable ergostars - horizonless ultracompact objects with ergoregions - as alternatives to black holes• Neutron stars with regularized cores (RµνρσRµνρσ < β−1) andincreased maximum mass (∼ 2.8M⊙)Key theoretical innovations include:• β-dependent curvature bounds (β ∼ 10−56 m4)• Entropic corrections to thermodynamics• Modified equations of state at high densitiesThe model provides testable predictions for:• Gravitational wave signatures (∆ω/ω ∼ 10−6)• X-ray spectra of compact objects• Neutron star mass-radius relationsAll solutions maintain UV-completeness while reproducing known observational constraints from NICER, LIGO/Virgo, and X-ray telescopes.