Seven Results of the Vacuum Condensate: From Nuclear Matter to Quantum Mechanics

Within the framework of Null-Vector Gravity (NVG), we show that the vacuum condensate Φ = W·e^{iθ}, decomposed into amplitude and Goldstone phase via the Madelung representation, provides a unified setting in which seven physical results can be derived from the single NVG action without introducing additional quantum postulates: I. The Heisenberg uncertainty principle as a Cauchy–Schwarz inequality for the fields W, θ II. The Born rule P ∝ |Ψ|^2 as the equilibrium distribution of localized excitations under osmotic drift and diffusion III. Wave-function collapse as θ-phase thermalization with a characteristic timescale τ ∝ ℏ/T in the overdamped regime IV. The vanishing of the QCD vacuum angle θ_QCD = 0 from the joint W–θ potential minimum, structurally distinct from the Peccei–Quinn mechanism V. The thermodynamic arrow of time from the topological sector Q = 1 VI. A conditional prediction that Bell–CHSH violation vanishes above the QCD deconfinement temperature T_c = 157 MeV, testable at RHIC BES-II VII. The Hawking temperature and Bekenstein–Hawking entropy as θ-mode thermalization on the horizon in classical curved spacetime Numerical verification scripts reproducing every figure are available at https://github.com/infosave2007/vmf Related preprints:- NVG Dynamics: https://doi.org/10.5281/zenodo.20473318- NVG EOS: https://doi.org/10.5281/zenodo.20214457- NVG Neutron Stars: https://doi.org/10.5281/zenodo.20463836