Quantum signatures in black hole accretion: Pair production in dynamical magnetic fields

Accretion disks around black holes host extreme conditions where general relativity and magnetohydrodynamics dominate. These disks exhibit two distinct dynamical regimes -- Standard and Normal Evolution (SANE) and Magnetically Arrested Disk (MAD). In the MAD regime, these systems exhibit magnetic fields up to 10⁸ G and variability on gravitational timescales tg ~ 10⁻⁴ s for stellar-mass black holes. While classical magnetohydrodynamics has been extensively applied, quantum effects in these high-energy environments remain unexplored. Here, we employ quantum field theory in background gauge fields (QFTBGF) to demonstrate that the dynamic magnetic fields of MADs drive significant pair production via the Schwinger mechanism. The resulting pairs emit non-thermal (synchrotron) radiation with a peak frequency tunable across ~ 1 - 3000 MHz, depending on the magnetic field strength (peaking at higher frequencies for stronger fields). For B ~ 10⁸ G, our model predicts a peak spectral flux density of ~ 1 - 100 mJy, detectable with next-generation radio telescopes (e.g., SKA, ngVLA). This work provides a direct and observable signatures of quantum effects in black hole accretion disks.