The electromagnetic field possesses fundamental invariants
Standard electromagnetic theory and electrodynamics possess fundamental Lorentz invariants, such as the quadratic field invariants.
The claim is a well-established physical fact concerning classical electrodynamics and special relativity. Papers [1] and [2] directly discuss the mathematical invariants of the electromagnetic field (specifically Lorentz scalars and pseudoscalars). The remaining papers are tangential or concern distinct topics (e.g., condensed matter, neural dynamics, cosmology).
C. A. Escobar, L. F. Urrutia. Invariants of the electromagnetic field. 2014. https://doi.org/10.1063/1.4868478
Paper 1 establishes that all gauge-invariant Lorentz scalars and pseudoscalars in electrodynamics can be expressed as functions of quadratic invariants.
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Nikos Salingaros. Invariants of the electromagnetic field and electromagnetic waves. 1985. https://doi.org/10.1119/1.14166
Paper 2 demonstrates the existence of Lorentz invariant combinations of the electromagnetic field components using Clifford algebra.
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