Metric-Induced Principal Symbols in Nonlinear Electrodynamics
arXiv:2508.09859 · doi:10.1088/1361-6382/ae415b
Abstract
We present a geometrical formulation of nonlinear electrodynamics by expressing its principal symbol as an optical metric-induced object. Under the assumption of no birefringence, we show that the evolution of linear perturbations can be recast as a covariant divergence on a curved, field-dependent background, enabling the application of quantum field theory techniques as in Maxwell's theory in curved backgrounds. This geometric reformulation opens a new route for analogue models potentially implementable in laboratory via tailored nonlinear metamaterials.
12 pages. This version matches the published one
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