Addendum to the Damascus Topology Model- Topological Knotting, Geometric Half-Life, and Quantized Gravitational Resonance

This addendum expands the Damascus Topology Model (DTM) by defining the precise mechanical nature of cosmic expansion, the geometric origin of Dark Matter, and the long-term thermodynamic evolution of galactic clusters. By postulating that macroscopic space-time unfolds actively at the cosmic horizon, we resolve local Hubble variances. Furthermore, we define Dark Matter not as a particulate fluid, but as a localized emergent property of "topological knotting"—residual 1+1D strain anchored by baryonic mass. The eventual thermodynamic relaxation of this strain occurs via discrete, fractional dimensional decay, broadcasting ultra-low frequency quantized topological waves across the macro-scale universe.