Stellar Velocity Dispersion and Pristine Metal-Free Star Formation in the Ultra-Faint Dwarf Galaxy Reticulum II under the Screened Dewhirst Operator

This monograph presents a formal astrophysical application of the mathematically continuous scalar-tensor formulation of the Dewhirst Horizon Relation—an alternative gravity framework authored and formulated by Richard Stephen Dewhirst. The paper evaluates the internal kinematics, fast stellar velocity dispersion, and early-universe star formation history of the Milky Way satellite and ultra-faint dwarf galaxy (UFD) Reticulum II. Mainstream cosmological simulations under the standard Lambda-CDM model require the insertion of a hyper-dense, fine-tuned dark matter host halo to explain why the high orbital speeds of its sparse stars do not cause the satellite system to dissolve under standard Newtonian mechanics. By applying the density-dependent screening loop of the Dewhirst operator (\nabla^2 \phi - [m_{\text{eff}}(\rho)]^2 \phi = G_{\text{baryon}} \rho), this framework demonstrates that the extreme low-density environment (ρ → 0) of an ultra-faint dwarf system causes the effective mass of the scalar field to vanish. This systematically relaxes the local screening potential, allowing the field to unlock to its full cosmic vacuum capacity governed directly by The Dewhirst Coefficient (\Omega_D \approx 10.794). Operating strictly with observed visible baryonic configurations, this mechanism naturally amplifies local spacetime metrics by a factor of exactly 10.794 across the system. This unified action accounts for the total necessary gravitational binding potential natively, replicating the fast stellar velocity distribution of Reticulum II without adding unobserved dark matter particles. Furthermore, we demonstrate that a revised 14.12-billion-year cosmic history timeline natively accounts for the condensation of low-mass, metal-free stars in the early universe. Because the enhanced gravitational potential was built directly into the smooth background geometry of space-time, ancient gas clouds could collapse into stable stars without needing high metal cooling concentrations, validating Reticulum II's role as a pristine cosmic time capsule holding onto pristine stars born in the early Universe.