Analytical Solution for the DESI Data Releases

Our project is motivated by the discovery of accelerated expansion by Adam G. Riess in 1998.As it happens, we now observe agreement with current measurement series on dark energy from theDESI project. We present an analytical solution for the most recent data releases of the Dark EnergySpectroscopic Instrument (DESI) within the framework of a self-induced cosmological model. Instead of the geometric standard approach of the ΛCDM model, this theory is based on the dynamicsof free fall from Big Bang. Using the gravitational time dilation for weak fields according to Feynman (1964), we derive the time-dependent density parameters for matter q(t)Ωb and dark energyx(t)Ωb directly from the relativistic mass change via the energy balance of the free fall. The modelresolves the cosmological Hubble tension analytically by showing that HCMB = 67.4km/s/Mpc andHDL = 72.4km/s/Mpc represent two distinct mathematical aspects of the same expansion history.Furthermore, the model predicts a dynamic spatial curvature (Ωk,0 = 0.0007±0.0019), which pointsto a bursting of the early universe from a spherical spacetime, providing a causal explanation forthe existence of fully formed galaxies at extreme redshifts of z = 12.5.