Unified Vibrational Force Theory: A Single Degenerate Scalar Field as the Origin of Forces, Matter, and Cosmic Structure

The Unified Vibrational Force Theory (UVFT) derives all known physical phenomena from a single degenerate scalar field Sh(x,t)S_h(x,t) Sh(x,t) governed by a minimal action principle. Three parameters fixed by the fine-structure constant, Newton's constant, and the W boson mass yield without further adjustment the Standard Model gauge coupling hierarchy, the muon mass with 5×10−65×10⁻⁶ 5×10−6 relative error, the kaon charge radius RK+=0.560RK^+=0.560 RK+=0.560 fm, simultaneous resolution of the H0H_0 H0, S8S_8 S8, and lithium abundance tensions, and a non-singular bouncing cosmology with predicted spectral index ns=0.967n_s=0.967 ns=0.967. Pre-registered predictions for the Vera Rubin Observatory LSST are deposited prior to Rubin Data Release 1 (2028). This paper is a self-contained summary of the full UVFT corpus (26 appendices, Zenodo 2025).