A New Solution of The Cosmological Constant Problems

TL;DR

This paper proposes a modified gravitational action where the cosmological constant becomes a dynamic field, leading to a calculable, observable value that aligns with the universe's age and predicts a specific spatial curvature.

Contribution

It introduces a new integral constraint from a variable cosmological constant, providing a falsifiable prediction for the cosmological constant and spatial curvature without fine-tuning or dark energy fields.

Findings

Expected cosmological constant matches universe's age in Planck units

Predicts spatial curvature parameter Omega_k0=-0.0055

Offers a testable, fine-tuning free cosmological model

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(t_U), as observed, where t_U is the present age of the universe in Planck units,. Any application of our model produces a falsifiable prediction for $\Lambda $ in terms of other measurable quantities. This leads to a specific falsifiable prediction for the observed spatial curvature parameter of Omega_k0=-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.