The Holographic Casimir-Balloon: A Geometric Derivation of E=mc^2 and Dark Energy

Abstract

Abstract We propose that 4D spacetime is the dynamical surface of a 2D Casimir membrane. Matter is modeled as frozen topological defects on this membrane. From this single postulate we geometrically derive: (1) The origin of E=mc^2 as a 2D-to-4D projection, (2) The Friedmann acceleration from negative surface tension, (3) Stability against perturbations, and (4) A falsifiable 4.7% correction to Hawking radiation for Primordial Black Holes. The theory is mathematically self-consistent, respects Lorentz invariance at low energies, and provides a geometric mechanism for Dark Energy. The model stands or falls on the observation of the predicted 4.7% gamma-ray excess. Keywords: Holographic Principle, Casimir Effect, E=mc^2, Dark Energy, Quantum Gravity, Primordial Black Holes