[22]Connectivity Geometry: Topological Alternative to the Dark Matter Particle Paradigm and Extremely Weak Coupling

In the standard cosmological model, dark matter is widely hypothesized to be a massive weakly interacting particle (WIMP). However, as underground dark matter detection experiments such as XENONnT continue to yield no significant nuclear recoil excess at multi-ton-year exposures, the traditional WIMP parameter space is being continuously constrained. Based on the connectivity geometry framework established in previous work, this paper proves that dark matter is not a microscopic particle, but a high-dimensional closed topological soliton frozen out during the topological phase transition of the underlying discrete network. Because this soliton lacks a one-dimensional open-string boundary (dSigma = 0), topological charge conservation delays the leading non-zero term of the coupling expansion to the order of O(1/N_lattice). This paper presents an analytical expression for the effective spin-independent scattering cross-section and strictly constrains the model parameter (network cascade depth N_RG) using the latest XENONnT 2025 experimental limits. The XENONnT 2025 data has excluded parameter points around N_RG = 39; to bring the prediction into the testable range of XLZD, the model requires a window of N_RG = 48 to 52.