A Geometric Manifold Resolution to the Hubble Tension

The Hubble tension, a persistent discrepancy between local and early-universe measurements of the cosmic expansion rate, poses a formidable challenge to the standard CDM model. Here, we demonstrate that this tension is not a signature of new particle physics or exotic dark energy, but a predictable consequence of the universe’s underlying topological manifold. We introduce a framework in which the observed redshift is reinterpreted as a manifestation of an intrinsic geometric gradient, rather than a purely kinematic expansion of space. Our model derives the Hubble discrepancy from first principles, establishing a unified scaling relation that aligns local observations with the cosmic microwave background data. Crucially, we incorporate a natural screening mechanism that recovers general relativity in high-density environments, ensuring full consistency with precise solar-system and galactic tests. This topological approach resolves the Hubble tension without the need for fine-tuned parameters, offering a parsimonious solution with clear, testable predictions for future high-redshift observations.