Xinzi Field Theory (XFT): Complete Treatise

Xinzi Field Theory (XFT) is a first-principles unified theory whose underlying ontology consists of discrete topological interpenetration of three Xinzi strands, organized by \(S_{3}\) permutation symmetry and vacuum phase frustration. The theory rests on a minimal set of axioms and requires no additional fields, no externally imposed gauge symmetry, no artificial chirality assignment, and no fitted parameters. Spacetime, gravity, SU(3) color dynamics, the chiral electroweak gauge structure \(SU(2)_{1} ×U(1)_{Y}\) , the three-generation fermion spectrum, the Yukawa mass hierarchy, CKM flavor mixing and CP violation, the color-confining hadron spectrum, and transverse-traceless spin-2 gravitational waves all emerge spontaneously. All 26 free parameters of the Standard Model are replaced by topological-geometric derived quantities. The theory admits a closed-form Euclidean path integral over a finite enumeration of discrete histories, avoiding the structural difficulties that have long plagued quantum field theory and string theory: continuous moduli integration, ultraviolet divergences, the origin of chirality, and the question of the carrier degree of freedom of gravitational waves. No open principle-level gap remains at the constructive level; remaining work is confined to higher-loop quantum corrections and the comparison of cosmological and compact-object observational predictions.