Dynamic Vacuum Theory (DVT) v20: Unified Master Monograph on Quantum Superfluid Vacuum Hydrodynamics from Galactic Rotation Curves to Cosmology

Abstract

This monograph presents the consolidated mathematical formulation of the Dynamic Vacuum Theory (DVT) v20 Master Edition. Physical vacuum is modeled not as a stagnantgeometric void, but as a compressible, zero-viscosity quantum superfluid condensate characterized by zero-point fluctuations. Macroscopic gravitational acceleration, galactic flat rotation curves, and subatomic mechanics naturally emerge from cosmic hydrodynamic pressuregradients. Crucially, all universal constraints—the cosmic acceleration threshold a0, the vacuum projection permeability χv, and the hyperbolic tangent (tanh) transition topology—arederived strictly from first-principles and topological constraints, featuring exactly zero freefitting parameters. The framework is verified across 10 distinct physical regimes spanningquantum BEC phase transitions, the SPARC 135 galaxy database, JWST early-universegalaxies, SLACS gravitational lensing, and the Bullet Cluster shock drift