Hydrodynamic Interpretation of the Muon g-2 Anomaly: Calculation and Prediction for the J-PARC E34 Experiment
Sergey Yurevich Paygachkin · Zenodo (CERN European Organization for Nuclear Research) · 2026
Notice: This document represents an early-stage conceptual draft. It has been deposited in this archive primarily to establish academic priority for the core physical hypotheses and experimental proposals (e.g., the local energy density framework). Readers should be aware that the mathematical formalism and numerical calculations herein are preliminary and are currently undergoing rigorous refinement. For the fully calibrated and peer-reviewed mathematical framework regarding the cosmological applications of this theory, please refer to the latest publications of the Primary Energy Research Group. The tension between the Standard Model prediction and the experimental measurement of the muon anomalous magnetic moment at Fermilab constitutes one of the most significant open problems in modern physics. This paper proposes a solution based on the PE Theory framework, which models the physical vacuum as a viscous superfluid medium with a specific dimensionless viscosity coefficient (approx. 0.14). We demonstrate that the observed anomaly can be derived classically as hydrodynamic drag acting on the muon's effective vortex radius (approx. 50 micrometers). Our calculation yields a theoretical value which matches the Fermilab experimental results with 98% accuracy. Furthermore, we analyze the hydrodynamic Reynolds number dependence and predict that the upcoming J-PARC E34 experiment, operating at a significantly lower Lorentz factor (gamma = 3.0), will measure a HIGHER value for the anomaly compared to Fermilab (gamma = 29.3), due to the non-linear increase in vacuum drag coefficients at lower velocities.