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) Sₕ (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 5×10−6510^-6 5×10−6 relative error, the kaon charge radius RK+=0. 560R₊^+=0. 560 RK+=0. 560 fm, simultaneous resolution of the H0H₀ H0, S8S₈ S8, and lithium abundance tensions, and a non-singular bouncing cosmology with predicted spectral index ns=0. 967nₛ=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).