The Möbius Nature of the Universe: A Unified Field Theory from Absolute Nothingness

This paper establishes a fully self-consistent ultimate ontological and physical system. Taking Absolute Nothingness as the only presuppositionless starting point, we show that the universe must necessarily manifest itself as a unique, self-closed, boundaryless whole due to the strict requirement of absoluteness. The only mathematical structure satisfying all ontological conditions is the non-orientable, Möbius-like three-dimensional manifold M=RP³/Z₂, which serves as the geometric visualization of the underlying algebraic ontology. Based on Tomita–Takesaki modular theory and noncommutative geometry, we derive the arrow of time uniquely from the chiral-modular sign identity, without assuming initial conditions or external symmetry breaking. The modular flow naturally induces ultraviolet-infrared duality, whose cyclic involution leads to a recurrent cosmic evolution with synchronous flipping of chirality, charge, and entropy direction, while observers inside the cycle perceive a uniform forward time, cosmic expansion, matter dominance, and left-handed priority. Within this framework, we intrinsically derive the Standard Model gauge group SU (3) c SU (2) L U (1) Y, three generations of fermions, their mass hierarchy, the fine-structure constant ^-1 137. 03, and a natural exponential suppression of the cosmological constant by a factor of 10^120. We present a complete, parameter-free algebraic derivation of the Higgs boson mass, predicting mH=125. 12\ GeV, in perfect agreement with the experimental world average. This theory provides a minimal, self-consistent, and falsifiable mathematical framework for the ultimate unification of fundamental physics, with clear testable predictions including normal neutrino mass ordering and cosmic topology signals in the CMB.