From Geometric Foundations to Particle Cosmos: Zhang Xiangqian's Unified Field Theory as the Ultimate Deconstruction of Group Theory, Quantum Field Theory, and the Standard Model

Under the core paradigm of "Physics is Geometry" in Zhang Xiangqian's Unified Field Theory (UFT), this paper systematically completes the full chain of deduction from spacetime geometry to the core theories of modern physics for the first time. This is based on a single geometric postulate: "Space diverges in a cylindrical spiral motion at the speed of light, radiating outward from the center of an object."Strictly adhering to UFT's three core postulates and its geometric constant system ( , , etc.), this paper constructs a unified theoretical framework without free parameters through ten progressively developed chapters.Key achievements include: 1) Establishing geometric foundations: Tracing Lie groups and Lie algebras back to isometric groups within chiral spaces and their Killing vector fields, revealing the geometric origins of gauge interactions; fully reducing quantum angular momentum theory and Poincaré group symmetries to geometric necessities of spacetime rotation and translation symmetries.2) Unification of quantum and classical dynamics: Derived quantum group deformation parameters and the quantum Yang-Baxter equation from quantum fluctuations of the helicity angle, completing the quantization of classical symmetries; established the complete dynamics of the global inertia ratio , revealing its central role as the effective gravitational constant and gauge coupling runaway (asymptotic freedom).3) Geometric reconstruction of the Standard Model: Through high-dimensional Kaluza-Klein reduction, the Higgs field is interpreted as a radial mode of the internal chiral space, strictly deriving the Higgs potential from the effective potential ;Quarks are defined as spinor field excitations on the internal space, with their fractional charges, color confinement, mass spectrum, and flavor mixing (CKM matrix) uniquely determined by the spectral geometry and topological structure of the internal space.4) Closed-loop self-consistency among parameters: The Fermi constant is derived through three independent pathways, establishing an intrinsic connection with the Weinberg angle. This forms a rigorous logical closed loop spanning from the Planck scale to the hadron scale, with all core formulas passing stringent dimensional consistency tests.This work fundamentally reduces the major pillars of modern physics—gauge field theory, quantum mechanics, special relativity, and the Standard Model of particle physics—to natural outcomes of the geometric dynamics of the spacetime background. It lays a solid theoretical foundation for ultimately achieving a geometric unification of all fundamental interactions, including gravity. This record is formatted and submitted by Lynn Lou Beran on behalf of the author. The author is solely responsible for the content.