Unified Ontology: The Complete Topological Residual Spectrum of Vacuum, Fields, Particles, Dark Matter, and Dark Energy

Abstract

6.1 Core Synopsis of This Chapter Within the GDUM pre-geometric axiomatic framework, all microscopic, mesoscopic, and macroscopic effective phenomena in the universe are entirely of the same origin, all derived from the unique ℝ₂ two-sheeted topological residual backflow dynamics. Through scale stratification and differentiation of orderliness, all fundamental physical appearances constitute a self-consistent, closed five-level unified spectrum with no added ontology and no independent degrees of freedom: 1. Local microscopic disorder: quantum vacuum effects (sparse residual backflow) 2. Local microscopic order: quantum fields (collective coupling modes of residuals) 3. Local microscopic steady states: elementary particles (stable closed-loop fixed-point attractors) 4. Intermediate-scale mesoscopic metastable states: dark matter (galaxy-scale topological residual condensate) 5. Global macroscopic background: dark energy (topological residual deconfinement in cosmic voids) The five classes of phenomena share the same origin, the same structure, and the same mechanism; they differ only in scale and topological orderliness. This thoroughly unifies quantum microscopic physics, galactic mesoscopic structure, and cosmic macroscopic dynamics, and eliminates—at the ontological level—the theoretical necessity for independent dark matter particles, a vacuum-energy medium, or a dark energy field.