High Energy Particle Physics

   

Light Propagation in a Velocity-Dependent Conformal Spacetime: Effective Medium Analogy, Relativistic Kinetic Energy, and Nonlinear Imaginary Refractive Index

Authors: Azzam Almosallami

We present a novel interpretation of light prop-agation under velocity-dependent conformal Lorentz transformations (CLT). The conformal factor introduces a coordinate-dependent "medium" through which light propagates, while preserving the physical invariance of the speed of light. Theproperties of this medium are directly linked to relativistic kinetic energy, resulting in a velocity-dependent effective refractiveindex. Furthermore, the inverse transformation for observers in the moving frame gives rise to an imaginary refractive index, reflecting coordinate contraction and phase-like distortions.Nonlinear effects are also considered, where the refractive index varies nonlinearly with velocity or energy. This framework offers a unified view connecting relativistic energy.

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[v1] 2025-12-14 00:32:59

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