The Superfluid Vortex Framework (VF): A Unified Hydrodynamic Model of Cosmological and Quantum Phenomena

Note on Refined Mathematics: For a detailed microscopic derivation of the gravitational constant and the implementation of the Logarithmic Nonlinear Schrödinger Equation (LNSE) within this framework, please see the follow-up paper: "Beyond the Dilute Approximation: A Dense Superfluid Microscopic Theory of Gravity and Fundamental Constants".This paper proposes the Vortex Framework (VF), a non-singular, unified theory ofphysics that replaces the standard “Expansion of Spacetime” with the Hydrodynamic Evo-lution of a Universal Superfluid. By defining the vacuum as a zero-viscosity medium with aspecific density (ρ) and bulk modulus (K), we demonstrate that the fundamental constantsof nature (c, G, ℏ, α) are not arbitrary, but represent the intrinsic material properties of thismedium. We redefine the “Big Bang” as a “Big Spin”—the initial rotational onset of a finitesuperfluid vortex. Under this model, Dark Energy is revealed as centrifugal force, and DarkMatter is identified as the rotational inertia of the superfluid medium itself. We providea mechanical solution to the Hubble Tension, attributing the observed 10% discrepancy inexpansion rates to the conservation of angular momentum.