Magnetic Persistence at Constraint Boundaries

Magnetic organization is observed to persist in the immediate vicinity of black hole event horizons, even as material structures fail and recoverable degrees of freedom collapse. Accretion disks, relativistic jets, and horizon-scale polarization measurements all indicate coherent magnetic topology operating precisely where persistent matter cannot survive. This persistence is often treated as a secondary feature of accretion physics. Here, it is shown to be a structural necessity. Within a structure-first framework, this work interprets black holes as terminal over-constraint regimes of temporal admissibility. At such boundaries, material persistence fails not through exotic interior dynamics but through loss of recoverability under extreme constraint. Crucially, this failure applies to matter, not to the governing constraint geometry. Magnetic fields, understood as routing structures that encode admissible pathways rather than localized material persistence, remain well-defined up to the boundary. Magnetic topology at event horizons is therefore reinterpreted as a map of admissible structural continuation rather than evidence of horizon-crossing matter or interior processes. Observable phenomena—including jets, ordered accretion flows, and polarized emission—arise from boundary-level routing geometry acting at the limit of persistence. By distinguishing persistence from admissibility, this interpretation preserves the regime validity of general relativity and classical electromagnetism while resolving the apparent tension between theoretical constraints and observed organization near horizons. The same architectural principles apply across scales, suggesting continuity between magnetic routing at extreme boundaries and coherence-preserving structures in less constrained astrophysical systems.