Holographic Unified Electrodynamics: Derivation of Maxwell Equations and Dark Energy from Topological Charges on the Cosmological Horizon
Year: 2026
Type: preprint
Abstract: We address a fundamental question in theoretical physics: how do gauge theories and dark energy emerge from a holographic framework of gravity? We demonstrate that 4D electrodynamics and dark energy with equation of state w ≈ -1 simultaneously arise from the surface thermodynamics of the cosmological apparent horizon decorated with topological U(1) Chern numbers. We rigorously derive Maxwell's equations from a 2+1D surface Chern-Simons action via a UV-regularized bulk-to-boundary propagator. Dark energy emerges naturally as negative holographic surface tension. We provide a parameter-free prediction for the coupling β = α_em / (8π²) and propose five falsifiable observational tests including CMB V-mode polarization, FRB time delays, and running of α_em. This work suggests a unified origin for electromagnetism and cosmic acceleration
Authors: Elhamidi, Abdelhak, Elhamidi, Abdelhak
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7211893483
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