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Astrophysical compact objects, such as magnetars, neutron star mergers, etc, have strong electromagnetic fields beyond the Schwinger field (). In strong electric fields, electron-positron pairs are produced from the vacuum, gamma rays create electron-positron pairs in strong magnetic fields, and propagating photons experience vacuum refringence, etc. Astrophysical compact objects with strong electromagnetic fields open a window for probing fundamental physics beyond weak field QED. Ultra-intense lasers and high-energy charged particles may simulate extreme astrophysical phenomena.

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