Primordial Black Holes as Geometric Textures: Resolving the Dark Matter Mystery in the Zhang Effective Metric
Year: 2026
Type: preprint
Abstract: Dark matter remains the central unsolved puzzle of cosmology. Motivated by decades of null detection results for particle dark matter candidates such as WIMPs, this work constructs a primordial black hole (PBH) scenario within the rotational-order geometric unification framework. During an early-universe spontaneous symmetry-breaking transition of the internal S³ orientation field, the Kibble–Zurek mechanism generates non-singular topological textures with non-trivial winding number π₃(S³)=ℤ. Sufficiently overdense textures decouple from the Hubble flow and collapse gravitationally into primordial black holes. The predicted PBH mass range spans from sub-asteroid mass up to stellar mass, controlled by the phase-transition energy scale Λ_geo. This PBH dark matter channel is complementary to the ultralight geometric axion candidate in Paper 53. Both dark matter candidates arise from the same S³ fibre geometry of the Zhang Effective Metric, without requiring new fundamental particles. The spectrum can be tested by microlensing surveys (Roman, Subaru HSC) and next-generation gravitational-wave detectors including LISA and the Einstein Telescope.
Author: Zhang, Xiangdong
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224894986