Estimating today’s cosmological constant via the Zel’dovich-holographic connection

This Letter proposes a solution of the Vacuum Energy and the Cosmological Constant (CC) paradox based on the Zel’dovich’s ansatz, which states that the observable contribution to the vacuum energy density, is given by the gravitational energy of virtual particle-antiparticle pairs, continually generated and annihilated in the vacuum state. The novelty of this note is the use of a cut-off length based on the Holographic Principle, which is shown to yield values of the CC in good agreement with experimental observations.