A New Solution of The Cosmological Constant Problems
Abstract
We extend the usual gravitational action principle by promoting the bare cosmological constant (CC) from a parameter to a field which can take many possible values. Variation leads to a new integral constraint equation which determines the classical value of the effective CC that dominates the wave function of the universe. In a realistic cosmological model, the expected value of the effective CC, is calculated from measurable quantities to be O(tU), as observed, where tU is the present age of the universe in Planck units,. Any application of our model produces a falsifiable prediction for in terms of other measurable quantities. This leads to a specific falsifiable prediction for the observed spatial curvature parameter of Omegak0=-0.0055. Our testable proposal requires no fine tunings or extra dark-energy fields but does suggest a new view of time and cosmological evolution.