Quantum Hydrodynamic Gravity: A Real-Number Superfluid Framework for Emergent Spacetime

This master manuscript presents Quantum Hydrodynamic Gravity (QHG), a real-valued, thermodynamically closed theoretical framework that unifies General Relativity and Quantum Mechanics by replacing abstract spacetime geometry and point-particle abstractions with a single, continuous, pressurized quantum superfluid condensate. Applying a Madelung transformation within a co-moving Lagrangian frame eliminates imaginary probability amplitudes, curvature singularities, and ad-hoc dark-sector parameters. Within this unified substrate, fundamental particles are formulated as quantized topological vortex solitons stabilized against collapse by the Core Cavitation Ratio (χc = 100/π ≈ 31.8), while electromagnetic radiation propagates as unentangled, zero-viscosity phononic shear waves at the medium's intrinsic Bogoliubov sound speed (c = √(∂P/∂ρ₀)). We derive a coordinate-independent Space-Stripping Tensor (σμν) governing interstitial vacuum drainage and pin the universal matter-stripping threshold (βc = 0.999999999996252 c; γc ≈ 365,242.20) strictly to dimensionless fundamental invariants (mp/me, α⁻¹) and the 9-mode topological circulation constant (Φgeom) without free-parameter tuning. Across physical scales, QHG:• Explains laboratory observations of supersolid light crystallization (via forced matter-photon coupling in the Ipe transport field) and the 2.17 K liquid Helium-4 λ-transition;• Resolves the classical Three-Body Problem through non-singular Bohm quantum potential repulsion, quantized circulation phase-locking, and bulk viscous damping (βz = 3.168);• Predicts planetary satellite formation rings from stellar mass and derives flat galactic rotation curves, galactic morphology, and Cosmic Web filament vectoring from supermassive sink dynamics;• Replaces black hole singularities with a two-tier horizon architecture capped by a Kovtun–Son–Starinets (KSS) Quark-Gluon Plasma nanoshell (Σ) explaining LIGO/Virgo null echoes;• Resolves the Hubble tension (73.24 vs. 67.40 km/s/Mpc) via a Viscous Hydrodynamic Friedmann Equation and predicts the 730 ± 20 day viscous delay in repeating partial Tidal Disruption Events (AT 2022dbl). Finally, the paper establishes four quantitative falsification benchmarks across CMB-S4 high-ℓ cutoffs (ℓ = 4120 ± 15), primordial vector B-modes, gravitational-wave ringdown bounds, and terahertz-driven monolayer graphene (ν = 2.418 THz).