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arXiv · 2508.09859

Metric-Induced Principal Symbols in Nonlinear Electrodynamics

Érico Goulart·Eduardo Bittencourt
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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.

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Érico Goulart, Eduardo Bittencourt. 2025-08-13. Metric-Induced Principal Symbols in Nonlinear Electrodynamics. https://doi.org/10.1088/1361-6382%2Fae415b

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