This paper proposes a novel cosmological framework based on the non-orientable three-dimensional real projective space quotient manifold (RP³ / Z₂) Möbius closed universe model. Without introducing dark matter, dark energy, or any unknown particles and interactions, it unifies the explanations for the three core puzzles of modern cosmology solely through the topological and geometric properties of spacetime itself: anomalous galaxy rotation curves, cosmic accelerated expansion, and large-scale anisotropy anomalies in the Cosmic Microwave Background (CMB). This paper proves that: (1) The “excess gravitational pull attributed to dark matter” at galactic scales is essentially an additional geometric gravitational effect generated by the global topological curvature and torsional torsion of RP³ / Z₂; (2) The “accelerated cosmic expansion driven by dark energy” at cosmological scales is essentially an illusion of nonlinear geometric redshift produced by the propagation of distant photons in a closed twisted space; (3) Anomalies such as the Axis of Evil and the power asymmetry between the northern and southern hemispheres in the CMB are natural predictions of the non-orientable topological structure of RP³ / Z₂. This model has the fewest assumptions, is logically self-consistent, and is compatible with all existing observations, providing a more concise and fundamental alternative framework for cosmology.
Xinyu Zheng (Sat,) studied this question.