Volume IV: Cosmology and Quantum Gravi

        This is Volume IV of the five-volume series The Origin of Complex Spacetime, inheriting the axiomatic framework, mathematical toolkit and full particle spectrum results of the first three volumes. It constructs a complete theoretical bridge between the fundamental topology of complex spacetime, macroscopic cosmology and Planck-scale quantum gravity. Built upon the PanGu primordial equation of Volume I, Cl8,C algebra and BCC lattice topology with the Low-Energy Degradation Equivalence Theorem of Volume II, and the full set of fermion masses & flavor mixing matrices from Volume III, three core research modules are fully derived: topological origin of early cosmic inflation, complete renormalization group flows of full-order color confinement and weak chiral higher-order topological corrections, and low-energy effective approximation of Planck-scale quantum gravity. This volume solves the △-level light quark mass discrepancies and the first-order deviation of weak mixing angle left over in Volume III, presenting closed-form solutions of all higher-order corrections. Combined with the total neutrino mass constraint from Planck cosmological observations, the theoretical predictions are consistent with cosmic microwave background data, topological dark matter candidate model and cosmic expansion rate. This text follows the series-wide terminology standard: the fundamental primordial geometry is defined as the non-Hermitian complex bilinear metric, while the lowenergy limit classical framework is referred to as the real Hermitian metric system. Two computational pipelines are adopted: full high-energy primitive equations from Volume I and low-energy simplified equations from Volume II Part II, with all mathematical identities referenced to Volume II Part I. The three-tier completion marking standard of the whole series is adopted throughout the text, and all theoretical predictions are benchmarked against astronomical observation data.