Quantized Dissipation from the Inverse-Square Anomaly in a Non-Hermitian Klein-Gordon Field
This paper presents an exactly solvable non-Hermitian Klein-Gordon model where an anomalous inverse-square potential, combined with outgoing boundary conditions, transforms the fall-to-the-center instability into a discrete, log-periodic spectrum of complex energies, thereby establishing a universal framework for quantized dissipation and emergent scale anomalies in relativistic open quantum systems.