Metric-Induced Principal Symbols in Nonlinear Electrodynamics
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910030719090688 |
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| author | Goulart, Érico Bittencourt, Eduardo |
| author_facet | Goulart, Érico Bittencourt, Eduardo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09859 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Metric-Induced Principal Symbols in Nonlinear Electrodynamics Goulart, Érico Bittencourt, Eduardo Optics General Relativity and Quantum Cosmology Mathematical Physics 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. |
| title | Metric-Induced Principal Symbols in Nonlinear Electrodynamics |
| topic | Optics General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2508.09859 |