Dark Matter as the Curvature Signature of a Living Manifold

This paper develops a structural interpretation of dark‑matter phenomena by treating them as expressions of hidden curvature within an evolving spacetime manifold. The account preserves the mathematics of general relativity while shifting its ontology: geometry is taken as generative, the manifold as an active relational substrate, and gravitational anomalies as structural signatures rather than evidence for undiscovered particles. Rotation curves, lensing patterns, cluster dynamics, and early‑universe fluctuations are explained as consequences of smooth, globally constrained curvature fields. This approach reduces the need for halo‑specific free parameters, predicts fewer small‑scale substructures than ΛCDM, and aligns cosmic behavior with the manifold’s large‑scale evolution. The result is a unified, testable framework in which dark matter reflects the geometry of an evolving relational structure rather than a particulate component of the universe.