Relativistic Vortex Dynamics in Astrophysical Systems: A Unified Framework from Planetary to Galactic Scales

Title: Relativistic Vortex Dynamics in Astrophysical Systems: A Unified Framework from Planetary to Galactic ScalesAuthors: Mohammadreza Eskandari Nasab Siahkohi Description:This repository contains data, code, and supplementary materials for the paper proposing a covariant relativistic vortex framework unifying gravitational dynamics across 9 astrophysical scales (10⁰–10⁹ AU). Key components: Theoretical innovation: Derives critical scale transition rc=52.3±1.8 AUrc=52.3±1.8AU from vorticity torque balance, with relativistic vorticity transport equation incorporating frame-dragging and compressible turbulence. Validation: 52 high-precision datasets (Gaia DR3, ALMA, VLT) showing 0.82% RMS orbital velocity error (solar system), 3.7% (galactic), and resolution of the Pioneer anomaly (athermal=(8.15±0.25)×10−10 m/s2athermal=(8.15±0.25)×10−10m/s2). Code: GPU-accelerated AMR simulations (CUDA/C++) with adaptive timestepping, physics-based refinement criteria, and Monte Carlo uncertainty quantification (10,000 iterations). Data: Full validation datasets for NGC 300, M15, HL Tau, Kuiper Belt Objects, and frame-dragging comparisons. Reusability: Docker image (astrovortex:2.0), Jupyter notebooks for analysis, and parameter scan templates. Impact: Provides a dark matter-free alternative to ΛΛCDM, with testable predictions for LISA (vortex-sourced GWs), ALMA (frame-dragging in disks), and JWST (thermal asymmetries).