Static Vibrational Reality (SVR): From Dimensional Transmutation to Emergent General Relativity

This work develops the Static Vibrational Reality (SVR) framework, showing how the Gluvić constant Ω ≈ 31 nHz arises naturally from dimensional transmutation in a hidden SU(2) sector. The universal vibrational phase field φ underlies both matter and spacetime, and its dynamics lead to the emergence of General Relativity as an effective low-energy limit via Sakharov’s induced gravity mechanism. Quantization of φ predicts an ultra-light Ω-boson with fuzzy dark matter phenomenology. The paper highlights how both mass and geometry originate from the same vibrational principle, addressing the hierarchy problem, the universality of Ω across physical systems, and the cosmological constant.