The Möbius Universe: A Unified Explanation of Cosmological Observational Anomalies Based on Modular Self-Antisymmetry

The Möbius Universe: A Unified Explanation of Cosmological Observational Anomalies Based on Modular Self-Antisymmetry The contemporary ΛCDM standard cosmological model faces at least 14 hard observational anomalies that cannot be self-consistently explained, and all patchwork corrections fail to resolve the fundamental contradictions from first principles. Based on a unified framework established by noncommutative algebra and Tomita-Takesaki modular theory, this paper takes the three-dimensional real projective space involution quotient space M=RP³/Z₂ (Möbius sphere) as the geometric carrier, and through modular flow ultraviolet-infrared duality and the chiral-modular sign identity, without any ad hoc assumptions, uniformly explains all known cosmological observational anomalies. The core conclusions are as follows: 1. The modular flow itself has no real motion or time rate. The so-called cosmic expansion and Hubble tension are essentially perspective effects generated by scale self-antisymmetry under logarithmic coordinates. 2. The topological closure of the universe does not lie in the observable region, but exists at the infinite scale endpoints of the Möbius loop. The null result of CMB paired circle search is not a failure of the theory, but an accurate theoretical prediction. This paper proves that all seemingly abnormal astronomical observations are inevitable topological properties of the Möbius universe. The 13. 8 billion years is not the original beginning of the universe, but only the light propagation time of the current modular cycle. The universe has no fixed scale boundary, and the infinitesimal scale and the infinite scale are topologically equivalent. This theory naturally predicts the tiny positive curvature of the universe and the global celestial self-pairing effect, which is highly consistent with the latest Planck satellite and JWST observational data. Philosophically, the ultimate origin of the universe lies in the self-reflection and self-mapping of nothingness, and relationship precedes reality is the most basic ontological principle.