Fundamental Oscillation: A Unified Framework for Mass, Frequency, and Spacetime

Abstract Existing formulations of quantum mechanics and general relativity rest on two independent energy relations: E = hf and E = mc². This work presents a unified framework in which every massive body possesses a real fundamental frequency f₀ = mc²/h, carried by the F-filament in a spectrally reactive medium—the Fabric—structured in seven frequency layers. The decoherence level D = 0.489 ± 0.010, extracted from 536 Fast Radio Bursts (CHIME, p < 0.001), serves as the single empirical parameter. Mass is defined as the discrepancy between f₀ and the Fabric background frequency f_T, with coupling C = (h/c²)(1/D) fixed by unifying E = hf₀ and E = mc². The observed 3+1 dimensions are derived from SO(4) → SO(3) × U(1) breaking on K₃ = S³. A 7D Lagrangian yields modified Einstein equations reducing to general relativity when f_T → f₀, and wave-function collapse follows from a dissipative Klein–Gordon equation with τ_coll = 1/|Δf|. Six empirical anchors are presented—FRB, SB9 q-bimodality, NANOGrav γ, PKIKP delays, ASKAP J1745-5051, and pion GPD tomography—together with five observational signatures and three laboratory tests. Comments This is the zeroth paper of the "Fabric Optics" cycle. This version is a preprint submitted for peer review. Comments are welcome.