Authors: Christopher R. Brown
We construct a static, spherically symmetric cosmological solution that reproduces the observed linear redshift-distance relation without resorting to metric expansion. By defining the radial coordinate via null geodesics and introducing the dimensionless parameter Hr/c, the matter density profile and metric emerge directly from the Einstein field equations. The solution admits a stable static configuration with a density distribution scaling as ρ(r) ∝ [1 + (Hr/c)]-2, and recovers standard redshift-distance behavior through gravitational redshifts alone. No cosmological constant or fine-tuning is required, and the resulting spacetime is consistent with basic observational constraints. This model also predicts a Schwarzschild horizon and associated Hawking radiation. The factor of change needed to blue shift this radiation to the 2.725 K observed in the CMB is shown by (2.725 K)/(TK) = √(rH/2lp). The quantization of spacetime simply emerges as a consequence of the presence of mass. This entire framework should be considered with a great deal of skepticism, as it deviates considerably from standard practices. However, the approach does offer a theoretically consistent model that has the potential to resolve several long-standing mysteries in physics and warrants investigation from the broader community based on the scholarly arguments alone.
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