The Damascus Topology Model (DTM) presents a novel framework for quantum gravity by replacing the canonical smooth pseudo-Riemannian manifold of General Relativity with a scale-dependent, fractional geometric topology.1 By introducing the Damascus Topological Density Tensor and fractional scaling operators, the DTM naturally resolves ultraviolet divergences and embeds quantum non-locality—such as the Pancharatnam-Berry phase 2—directly into the spacetime curvature. Crucially, the model yields a modified, fractional dispersion relation for gravitational waves. By applying this framework to the strain data of the GW150914 binary black hole merger 3, the DTM bounds the theoretical macroscopic phase shifts introduced by the underlying quantum-fractal micro-structure. This preprint provides the foundational master equations, details the fractional geometry, and establishes an empirical pathway to test macroscopic topological deviations using current gravitational-wave observatories.
Joseph Baughman (Fri,) studied this question.