Holographic Vacuum Energy from Quantized Horizons

We present a geometric and horizon-based reformulation of the cosmological constant problem. Building on holographic arguments and the quantization of curvature in curved spacetime, we derive a universal relation connecting the local vacuum curvature to the radius of an observer’s causal horizon. This parameter-free 1/R^2 law is shown to be valid across all physical scales—from laboratory accelerations and neutron stars to black holes and cosmological horizons.Our analysis combines two independent derivations: (i) a holographic surface entropy bound and (ii) the fundamental scalar quasinormal mode quantization in de Sitter space. Both approaches consistently yield the observed vacuum energy scale and reproduce the characteristic 10^122 hierarchy between quantum field theory and cosmological observations.