Vacuum fluctuations of energy density can lead to the observed cosmological constant

The energy density associated with Planck length is \ₔₕ\ LP^-4 while the energy density associated with the Hubble length is \₈ₑ\ LH^-4 where LH=1/H. The observed value of the dark energy density is quite different from \ either of these and is close to the geometric mean of the two: \ₕ₀₂\ \\ₔₕ \_₈ₑ. It is argued that classical gravity is actually a probe of the vacuum \ fluctuations of energy density, rather than the energy density itself. While the globally defined ground state, being an eigenstate of Hamiltonian, will not have any fluctuations, the ground state energy in the finite region of space bounded by the cosmic horizon will exhibit fluctuations \\\ ₕ₀₂ (LP, LH). When used as a source of gravity, this \ \ should lead to a spacetime with a horizon size LH. This bootstrapping condition leads naturally to an effective dark energy density \\\ (LₔₕLH) ^-2\ H²/G which is precisely the observed value. The model requires, either (i) a stochastic fluctuations of vacuum energy which is correlated over about a Hubble time or (ii) a semi- anthropic interpretation. The implications are discussed.