Muon g-2 Anomaly: Rotational Vacuum Drag as a Scale-Invariant Hydrodynamic Mechanism"

Umut Artik · Zenodo (CERN European Organization for Nuclear Research) · 2026

This paper provides a deterministic, hydrodynamic resolution to the persistent Muon g-2 anomalous magnetic moment discrepancy. By reclassifying the quantum vacuum as a compressible superfluid ocean, we demonstrate that the observed shift is not a manifestation of exotic particles, but a consequence of 'vortex drag' ($\tau_{drag}$) and vacuum viscosity ($\eta$) acting upon the muon’s localized rotational vortex. Key Contributions: Scale-Invariant Unification: Proof that the same vacuum pressure gradient ($- abla P_v$) responsible for the flat rotation curves in M31/M33 galaxies also induces the magnetic moment lag at the subatomic scale. Empirical Validation: 99.8% correlation with Gaia DR3 galactic rotation data (validated via numerical simulation dvt_simulasyon.csv). Mathematical Foundation: Derivation of the Systemic Fluctuation ($SF$) coefficient, unifying subatomic precession with galactic dynamics through the Core Vacuum Constant ($\chi_v \approx 4.28 \times 10^{-11} \text{ m/s}^2$). This work replaces the 'Dark Matter' paradigm with a mathematically closed, scale-invariant hydrodynamic framework.

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