1. Kirchhoff's Law and Its Violation
Kirchhoff's law dictates that emissivity (ε) and absorptivity (α) must be equal for objects in thermal equilibrium. However, this assumes Lorentz reciprocity—a symmetry where light's path remains identical if reversed. In 2025, researchers shattered this assumption using magneto-optical materials like indium gallium arsenide. Under a 5-tesla magnetic field, electrons in these materials enter cyclotron motion, breaking reciprocity and enabling ε > α. One experiment achieved an unprecedented ε–α difference of 0.43—nearly twice prior records.