Published October 21, 2026
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The Fluid Spacetime Continuum: Resolving Cosmological Anomalies via the Navier-Stokes-Boukratem Continuum Fluid Framework
Description
This repository hosts the official open-access Volume I of the Navier–Stokes–Boukratem (NSB) unified framework series. This comprehensive paper establishes a non-perturbative, continuous description of quantum gravity and space-time fluid rheology, successfully addressing core cosmological tensions ab initio without free parameters.
Core Theoretical Foundations and Discoveries:
- The Vacuum Catastrophe Resolution: By treating the space-time continuum as a compressible three-dimensional (3D) quantum fluid, the dimensionless topological gauge factor 3.5 (7/2) operates as a universal, topologically invariant gauge factor providing the exact normalization bridge toward a 4D covariant spacetime geometry. Nonlinear bulk viscosity, formally designated as The Boukratem Bulk Impedance (ex-Dark Energy, zeta_0 approx. 1.2662 x 10^8 Pa·s), dampens the theoretical Planck energy density (rho_Planck approx. 10^93 g·cm^-3) across 61 orders of spatial magnitude, naturally stabilizing the effective late-time vacuum mass density at the observed threshold (rho_obs approx. 0.92238 x 10^-29 g·cm^-3, w = -1.00 +/- O(10^-15)).
- The Primordial Inversion (ex-Big Bang): Enforcing a strict antilinear Parity-Time (PT) inversion symmetry (x to -x, t to -t) transforms the primal cosmic singularity into a highly convergent vortex cyclone. At the ultraviolet ceiling, the local Reynolds number collapses to zero (Re to 0), converting the past-facing gravitational crushing into an immediate hydrodynamic pressure gradient repulsion that triggers a singularity-free Hydrodynamic Big Bounce Event (ex-Big Bang) driving cosmic inflation and locking the cosmological flatness parameter permanently to its absolute minimum attractor profile Omega_k == 0.
- The Hubble Tension Elimination: The residual horizon impedance drag produces an exact rational expansion shift delta H_0 = 2c / (7pi R_u), smoothly bridging the gap between early-universe and local distance ladder calibrations while locking a strict parameter-free global expansion ceiling H_max == 76.83 km/s/Mpc to be reached at an absolute cosmic age of 32.22 billion years, before transitioning into a past-directed symmetric contraction phase.
- The Dark Matter Demystification: At galactic scales, integrating the Navier–Stokes Bernoulli pressure gradient yields a virtual mass profile, formally designated as The Boukratem Kinematic Drag Offset (ex-Dark Matter), which successfully predicts flat rotation curves, regularizes the central cusp anomaly into a smooth constant-density core plateau, and derives a scale-invariant optical lensing deflection angle theta = 7pi V_0^2 / (2c^2) that perfectly accounts for the Bullet Cluster spatial dissociation profile without exotic particulate extensions.
Large-Scale Structure and Numerical Verification:
Linear perturbation analysis reveals a spatio-temporal viscous damping factor delta(t, k) proportional to exp(-k^2 * nu_eff * t * ln t) at sub-Megaparsec scales, lowering the structure growth amplitude parameter to a theoretical baseline of S_8 approx. 0.767 (representing a pure analytical damping of 8.83%). To ensure absolute verification traceability, this prediction is successfully validated via three-dimensional high-resolution grid mesh simulations executed on a high-resolution 512^3 grid (1.34 x 10^8 discrete mesh cells) monitored under the registry CELL COSMO-05, showcasing a structural density variance reduction from 0.000100 to 0.000077, translating into a net non-linear grid-converged amplitude damping of 10.72% once resolved under localized sub-grid truncation corrections. The complete closed-form algebraic reduction and field stabilities have been cross-checked and certified via the Cadabra2 symbolic computer algebra kernel hosted on an Ubuntu Linux Conda environment.
Linear perturbation analysis reveals a spatio-temporal viscous damping factor delta(t, k) proportional to exp(-k^2 * nu_eff * t * ln t) at sub-Megaparsec scales, lowering the structure growth amplitude parameter to a theoretical baseline of S_8 approx. 0.767 (representing a pure analytical damping of 8.83%). To ensure absolute verification traceability, this prediction is successfully validated via three-dimensional high-resolution grid mesh simulations executed on a high-resolution 512^3 grid (1.34 x 10^8 discrete mesh cells) monitored under the registry CELL COSMO-05, showcasing a structural density variance reduction from 0.000100 to 0.000077, translating into a net non-linear grid-converged amplitude damping of 10.72% once resolved under localized sub-grid truncation corrections. The complete closed-form algebraic reduction and field stabilities have been cross-checked and certified via the Cadabra2 symbolic computer algebra kernel hosted on an Ubuntu Linux Conda environment.
Algorithmic Repository Registries:
This synchronized series is monitored under the following immutable tracking modules:
This synchronized series is monitored under the following immutable tracking modules:
- CELL COSMO-01: 122 Orders of Magnitude Analytical Suppression Factor (P_max Limit)
- CELL COSMO-02: Hydrodynamic Horizon Transit Certificate (Cosmological Flatness Omega_k == 0 Attractor)
- CELL COSMO-03: Galactic Bernoulli Depression Mass Scaling Law (Cusp-Core Regularization)
- CELL COSMO-04: Closed-Form Dissipative Solution Accreditation (Jeans--Friedmann Asymptotic Recovery)
- CELL COSMO-05: High-Resolution Grid Mesh Variance Reduction (Net Non-Linear Amplitude Damping: 10.72%)
- CELL COSMO-06: Ab Initio Dark Sector Fractional Quantification Matrix (DE: 69.57%, DM: 26.46%, Baryons: 3.96%)
Scholarly Routing: The complete, dimensionally unconditioned manuscript series is officially submitted and routed toward an independent external foundational peer-evaluation within the international scientific community.
Files
sn-article.pdf
Additional details
Dates
- Issued
-
2026-09-27Initial publication of Volume I on Zenodo repository.