Empirical Validation of the Geometric Thaw Framework: Analog Cosmological Dynamics in Table-Top Bose-Einstein Condensates

The standard cosmological model, underpinned by the Einstein Field Equations (EFE), relies on the abstraction of a continuous, fundamentally empty pseudo-Riemannian spacetime manifold. Within this paradigm, gravitation is exclusively treated as the geometric curvature of this void. However, the theoretical framework designated as "The Geometric Thaw" posits a radical ontological shift, proposing that the cosmic vacuum is not a topological emptiness, but a macroscopic, viscoelastic quantum superfluid. Under this framework, the spacetime metric is relegated to an emergent phenomenon—a hydrodynamic approximation of an underlying quantum fluid governed by a generalized, non-linear Schrödinger equation, specifically the Gross-Pitaevskii Equation (GPE).

By applying the Madelung transformation to the macroscopic wavefunction of the cosmic superfluid, the phase of the wavefunction establishes the cosmic velocity field, while the amplitude dictates the quantum pressure. This translates the complex dynamics of quantum fluids into the classical language of curved spacetime, mapping the acoustic metric of the fluid directly to the metric tensor  of General Relativity. Consequently, phenomena currently classified as fundamental cosmological anomalies—specifically the mechanism of quark confinement, the nature of black hole event horizons, and the missing mass attributed to dark matter—are re-ontologized as macroscopic hydrodynamic behaviors of this viscoelastic vacuum.

In the Geometric Thaw, quark confinement is mathematically modeled as the viscoelastic tethering of quantized superfluid vortices, with the strong force's "Mass Gap" corresponding to the latent heat of topological strain released when these tethers undergo forced quantum reconnection. Black holes transition from geometric singularities of infinite density to hyper-viscous Navier-Stokes phase boundaries exhibiting intense boundary layer turbulence at the sonic event horizon. Finally, dark matter ceases to be a non-baryonic particulate substance; instead, it emerges as "Spacetime Creep"—the metric viscosity generated by the normal fluid fraction of a finite-temperature cosmic superfluid acting against galactic rotation.

To validate The Geometric Thaw without relying on standard, often model-dependent astronomical observations, one must examine empirical data from table-top Bose-Einstein Condensate (BEC) experiments. By mapping the exact energy thresholds, scaling laws, and fluid-dynamic drag coefficients of atomic BECs to cosmological scales, laboratory quantum fluids can be utilized as a scalable analogue for the universe. The following report conducts an exhaustive, rigorous literature review of empirical BEC data published between 2016 and 2026, extracting specific measurements across three primary research vectors to mathematically and empirically substantiate the Geometric Thaw hypothesis.