The Sentina Effect: A Unified Geometric Solution to Astrophysical Mass Discrepancies

Title: The Sentina Effect: A Unified Geometric Solution to Astrophysical Mass Discrepancies Abstract: This paper presents "The Sentina Effect, " a deterministic phenomenological model designed to resolve the mass discrepancy problem observed across various cosmological scales. By reinterpreting the "dark matter" phenomenon as an emergent gravitational tension (gS) derived from the inherent Weyl geometry of spacetime surrounding baryonic mass, the model eliminates the need for collisionless Cold Dark Matter (CDM). The framework introduces a dynamical coupling factor, (M), and a refined cosmological scaling law, a₀ (z), demonstrating consistent predictive power across: Galactic Scales: Accurately modeling rotation curves and resolving the "Core-Cusp" problem through geometric saturation. Cluster Scales: Explaining galaxy cluster cohesion and strong gravitational lensing. Cosmological Scales: Providing a solution to the "Hubble Tension" by aligning the Cosmic Microwave Background (CMB) first acoustic peak with local H₀ measurements. The Sentina Effect offers a unified, geometric alternative to the CDM paradigm, addressing current cosmological crises through the lens of emergent Weyl tension.