Statistical Origin of an Emergent Vacuum Pseudoscalar Mode

This paper develops a statistical and microscopic interpretation for an emergent pseudoscalar mode previously introduced in a phenomenological framework of modified vacuum electrodynamics. Rather than treating the field as a fundamental axion-like particle, the work models the vacuum as a statistical ensemble of unresolved microscopic configurations whose collective behavior can generate an effective pseudoscalar order parameter coupled to the electromagnetic invariant (E \cdot B). Through coarse graining and effective-field-theory arguments, the framework motivates a temperature-dependent mass scale, finite damping time, resonant susceptibility, and coherence length capable of producing experimentally testable signatures including vacuum birefringence, delayed electromagnetic emission, resonance enhancement, and cavity-scale coherence effects. The theory is intentionally exploratory and is presented as a falsifiable phenomenological model rather than a completed microscopic description of the vacuum.