The Cosmological-Acoustic Isomorphism II: Dark Matter As Vacuum Decoherence And Gravitational Impedance

Abstract

Standard ΛCDM cosmology models dark matter as a weakly interacting massive particle (WIMP), yet direct detection experiments continue to yield null results or statistically isolated anomalies. This paper expands upon the Cosmological-Acoustic Isomorphism—which frames dark energy as Bogoliubov phonon pressure (w ≈ -1) in a volumetric scalar superfluid vacuum—to establish dark matter not as a localized particle, but as the thermodynamic consequence of macroscopic quantum measurement. By applying Lindblad open-system dynamics to the macroscopic Gross-Pitaevskii wavefunction of the vacuum, we demonstrate that continuous observation by baryonic mass forces a localized gradient in vacuum decoherence. This spatial phase suppression acts as a localized acoustic impedance, forcing vacuum density to pool into structural distributions that mathematically perfectly mirror Navarro-Frenk-White (NFW) dark matter halos. We propose a Phase II laboratory isomorphism utilizing time-resolved Inelastic Neutron Scattering in a driven Helium-4 superfluid at 0.5 K, employing a topological Bismuth Selenide (Bi₂Se₃) defect to continuously induce Zeno pinning.