The Fluid Spacetime Continuum: Resolving Cosmological Anomalies via the Navier-Stokes-Boukratem Fluid Star Model
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.
Related
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BibTeX
@misc{boukratem2026fluid,
title = {{The Fluid Spacetime Continuum: Resolving Cosmological Anomalies via the Navier-Stokes-Boukratem Fluid Star Model}},
author = {Riadh Boukratem},
howpublished = {ECSarXiv},
year = {2026},
month = sep,
doi = {10.1149/osf.io/y7m6e_v1},
url = {https://osf.io/preprints/ecsarxiv/y7m6e_v1/},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Fluid Spacetime Continuum: Resolving Cosmological Anomalies via the Navier-Stokes-Boukratem Fluid Star Model
AU - Riadh Boukratem
PY - 2026
DA - 2026/09/17
PB - ECSarXiv
DO - 10.1149/osf.io/y7m6e_v1
UR - https://osf.io/preprints/ecsarxiv/y7m6e_v1/
AB - 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.
ER -