The Fluid Spacetime Continuum: Resolving Cosmological Anomalies via the Navier-Stokes-Boukratem Fluid Star Model
Year: 2026
Type: preprint
Abstract: We present a non-perturbative hydrodynamic framework that addresses core modern cosmological crises---the Cosmological Constant Problem (10^122 divergence), the Hubble Tension, and the S8 structure growth anomaly---without invoking ad-hoc scalar fields or exotic dark matter particles. By treating the spacetime continuum as a physical, viscous, and compressible three-dimensional (3D) quantum fluid governed by the Navier-Stokes-Boukratem equation of state, we demonstrate that non-linear bulk viscosity (zeta, measured in Pa s) dampens the theoretical Planck energy density (rho_Planck approx 10^93 g/cm^3) across 61 orders of spatial scale (N = Ru / lp approx 10^61, where Ru is the observable universe radius and lp is the Planck length). This geometric expansion ratio yields an exact quadratic N^2 approx 10^122 suppression, naturally stabilizing dark energy at its observed density (rho_obs approx 10^-29 g/cm^3). The residual viscous drag produces a systematic Hubble expansion shift delta H0 = 2c / (7 pi Ru) (where c is the speed of light in vacuum), exactly bridging the 67.4 to 73.04 km/s/Mpc gap through a temperature-dependent phase transition of the fluid. At galactic scales, integrating the Navier-Stokes Bernoulli pressure gradient yields a virtual mass profile M_halo(r) = (7/2) (rho_fluid V0^2 / c^2) r ln(r/lp), which successfully predicts flat rotation curves and a scale-invariant optical lensing deflection angle theta = 7 pi V0^2 / (2c^2) for the Bullet Cluster. Finally, linear perturbation analysis reveals a spatial viscous damping factor delta(t, k) sim exp(-0.5 k^2 nu_eff t ln t) at sub-Megaparsec scales (where k is the wavenumber and nu_eff is the effective kinematic viscosity), lowering sigma8 to S8 approx 0.767, validated in 3D numerical simulations (CELL SIM-01) showcasing a structural variance reduction from 0.000100 to 0.000077. The dimensionless factor 7/2 (3.5) is established as a universal, topologically invariant gauge across all physical scales.
Source: ECSarXiv (OSF Preprints)
Author: Riadh Boukratem
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213450864