Hubble’S Law in the Local Flat Spacetime

On the road towards observational (and experimental) validation of the DEUS cosmological model we will cross the boundary between theory and observation with the help of Hubble’s law for the Universe evolution, expressed as function of quantities as redshift z (measured through Doppler-shift observations) and local time T. In the book by Popescu (2007) we gave a theoretical method for computing the Hubble constant H0. Now, in the light of the new acquired knowledge that followed Popescu (2020) paper’s results, after defining what is the local time for the flat spacetime and how it relates to the FLRWspacetime, we will be able to derive the Hubble’s law H (T). The theoretical meaning of the redshift parameter contained by it will diverge from the one given by the classical expansion cosmological models, not being directly dependant on the time T (or age of the Universe), but rather on the way the entropy evolved in the Universe, at some particular location, with the tFLRW time.