The Harmonic Unifying Framework: From Tensory Gravity to the Genesis of Mass

This article presents a unified framework of fundamental physics based on the Harmonic Field Equation, 4+ξ + Λ²_h + δ Ω ² (x^ µ , ξ) Ψ(x ^µ , ξ) = 0, formulated on a fiber-bound collector of dimension 4 + ξ with a compact internal coordinate system. In this approach, all interactions and particles emerge as eigenmodes of a single complex field Ψ, whose dynamics combine the four-dimensional curvature with the vibrational structure of the internal fiber.It is shown that: (I) classical gravity is recovered as the low-energy tensor mode associated with the fiber’s ground state;(II) gauge symmetries emerge as harmonic isometries of the internal dimension;(III) particle mass is interpreted as a geometric eigenvalue linked to the internal frequency of the corresponding mode;(IV) the neutrino acquires a natural residual mass on the order of 10 −6 eV without introducing additional fields;(V) the quantum phenomena of superposition and entanglement are reinterpreted as topological consequences of connectivity in the dimension ξ.The model provides an ontologically minimalist framework where matter, forces, and space-time are manifestations of a single harmonic structure, offering a coherent path toward geometric unification.