Cosmological Constant from Boundary Condition and Its Implications beyond the Standard Model

Abstract: Standard cosmology has long been plagued by a number of persistent problems. The origin of the apparent acceleration of the cosmic expansion remains enigmatic. The cosmological constant has been reintroduced as a free parameter with a value in energy density units that happens'' to be of the same order as the present matter energy density. There is an internal inconsistency with regards to the Hubble constant, the so-called $H_0$ tension. The derived value of $H_0$ depends on the type of data that is used. With supernovae as standard candles one gets a $H_0$ that is 4-5 $\sigma$ larger than the value that one gets from CMB (Cosmic Microwave Background) data for the early universe. Here we show that these problems are related and can be solved if the cosmological constant represents a covariant integration constant that arises from a spatial boundary condition, instead of being a new type of hypothetical physical field,dark energy'', as assumed by standard cosmology. The boundary condition only applies to the bounded 3D subspace that represents the observable universe, the hypersurface of the past light cone.