Addendum B to the ECZC Model: The Axisless Core

This addendum formalizes the structural geometry of the magnetic field generated by the Elevated Complex Zero-Gap Core (ECZC) model. Because the core exists as a single, coherent macro-quantum state with complete spatial isotropy, it possesses full \(SO(3)\) spherical symmetry and completely lacks a preferred rotational axis. Consequently, the core eliminates the classical magnetic dipole configuration, utilizing the Meissner effect to expel magnetic flux uniformly across all \(4π\) steradians. This axisless geometry structurally suppresses polar relativistic jet formation via the Blandford-Znajek mechanism. This framework accounts for anomalously quiet, jet-free compact massive objects while ensuring completely isotropic electromagnetic and gravitational wave emission across the membrane boundary. This work is an operational supplement to the parent paper (DOI: 10.5281/zenodo.20534658).