Extragalactic Stellar Stream Dynamics under the Screened Dewhirst Operator: Resolving the Gravitational Environment of UGC 9050-Dw1 Without Dark Matter Halos

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. Utilising high-resolution extragalactic observation data published in August 2026, this paper evaluates the structural mechanics, bound morphology, and gravitational constraints of the newly discovered Oyashio stellar stream wrapped around the ultra-diffuse galaxy (UDG) UGC 9050-Dw1. Mainstream cosmological simulations under the standard Lambda-CDM model require the insertion of a massive, highly fine-tuned dark matter host halo to explain why this thin, diffuse stellar ribbon remains tightly bound without dissolving into intergalactic space. 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 the ultra-diffuse galaxy 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 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 diffuse galaxy's outer halo. This unified action accounts for the total necessary gravitational binding potential natively, perfectly reproducing the exact parsec width and alignment of the Oyashio stellar stream, and completely eliminating the requirement for unobserved dark matter envelopes or dark energy constraints in ultra-diffuse galactic systems.