The Origins of Redshift in a Static Universe

There is growing evidence from the Hubble Space Telescope and the James Webb Space Telescope missions suggesting the universe might be static rather than expanding as described by the \( \Lambda \)CDM model. Such a universe has been postulated as the natural consequence of an extended theory of gravity based on the Exochronous (timeless) metric, \( \Sigma \)GR. The main challenge that faces any static universe model is the need to account for the observed cosmological redshift-distance relationship, as defined by the Hubble parameter, \( H_0 \). While the 'tired light' theory has attempted to explain this redshift, its shortcomings remain significant. We propose the Jeans Contraction mechanism, rooted in the Schwarzschild metric of General Relativity, as a compelling explanation for cosmological redshift. This contraction of atomic matter not only aligns with theoretical predictions but also enables the calculation of present-day rate of change of the cosmological scale factor, \( H_0 \). Remarkably, this calculated value closely matches observational measurements. Moreover, the Jeans universe offers an intriguing perspective on the age of the universe relative to cosmological redshift. Compared to \( \Lambda \)CDM predictions, the Jeans model suggests a slower cosmic evolution, allowing galaxies to develop to observed densities within an extended timeframe. Specifically, this model indicates that it takes over six billion years to reach a redshift of \( z \sim 2 \), providing ample opportunity for galaxies to evolve as observed by JWST.