Process Ontology and Hydrodynamic Vacuum: Rethinking Cosmological Singularities through a Unified Viscous Continuum

Standard cosmological models face a foundational epistemic crisis at the Big Bang singularity, where the geometric description of General Relativity breaks down. This paper proposes a unified framework integrating Whiteheadian Process Philosophy with the hydrodynamics of a “stiff” superfluid vacuum. To reconcile the relativistic requirement for a frictionless vacuum with the thermodynamic requirement for a dissipative “process,” we adopt a Two-Fluid Model characteristic of quantum liquids. By deriving a non-conservative Process-Hamiltonian, we define a physical arrow of time driven by the viscosity of the vacuum’s normal component. Utilizing the Navier-Stokes-Einstein isomorphism, we simulate the cosmological evolution using a 1D Viscous Burgers’ equation as a topological analog. Results demonstrate that vacuum viscosity resolves the geometric singularity into a finite thermodynamic shock event ($\Phi_{max} \approx 8.08$), preserving thermodynamic continuity across the transition. We further map the “actual entities” of process metaphysics to quantized vortices in the superfluid, offering a concrete physical ontology for the “becoming” of the universe.