Viscous Emergent Spacetime and the Origin of Black Hole Entropy

The Bekenstein-Hawking entropy formula S = A/4G remains one of the most profound hints of a deeper microscopic theory of gravity. In this paper, we derive this formula from first principles within the Viscous Emergent Spacetime (VES) framework. VES is built on four axioms: covariance, conservation of information, irreversible coarse-graining, and minimalism. From these, spacetime geometry emerges as the macroscopic imprint of information flow with bulk viscosity. We show that black hole horizons correspond to informational barriers where the viscous information current vanishes. The resulting “viscous core” replaces the classical singularity and stores information holographically on its surface. The Bekenstein-Hawking entropy emerges naturally from the critical information density I∗ and the bulk viscosity coefficient γ0, with small corrections for stellar-mass black holes that may be testable by future gravitational wave observations.