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Does breaking Lorentz symmetry change the Casimir force?

C. A. Escobar, Román Linares, A. Martín-Ruiz

May 29, 2026

In nonlinear electromagnetism, certain magnetic configurations can spontaneously break Lorentz symmetry—a fundamental pillar of relativity. Using a specialized mathematical framework, the authors computed how this affects the Casimir effect, the quantum force between parallel plates. As the system approaches exact symmetry breaking, one prediction diverges to infinity, but careful analysis shows this is an artifact of the calculation order, not real physics.
Published as Casimir effect near spontaneously Lorentz-breaking magnetic vacua in Plebański nonlinear electrodynamics arXiv:2606.00361
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