A Complete representation of spacetime

The aim of this paper is to continue on the work introduced in the paper, a finite element representation of time, which discretized space-time using a method motivated from finite elements in order to uncover gravity.  

This paper is divided into two parts. The first part covers quantum equilibration, bell-type quantum field theory, dark matter, dark energy and the second part of the paper tries to apply the results of the first part of the paper to the discrepancies in measured values of the expansion rate of the universe.