Pure Geometric Dynamics Reconstruction of Neutron Decay and the"Lifetime Puzzle"

There is a systematic discrepancy of approximately 10.25 seconds (4σ) between the bottle method (877.75 s) and the beam method (888.0 s) for the neutronβ-decay lifetime. Based on the Geometric Dynamics Unifed Theory (GDUT), abandoning the point particle assumption, this paper proposes that neutrons are not identical particles, but“dense ellipsoidal droplets” under diferent environmental pressures.First, spatial curvature diferences (curvature fngerprints) determine the diferent intrinsic pressure-relief times of neutrons (primary factor); second, the centrifugal stretching induced by strong magnetic feld polarization delays the topological peel-ing time for the droplet to restore a perfect sphere (secondary factor). The quanti-tative relationship between pressure-relief time and polarization angle is derived as t(ϕ) = t0(1−αcosϕ), predicting a systematic shift of approximately 20.5 seconds upon fipping the polarization direction. This model reconstructs weak interactions and the lifetime puzzle from a pure fuid mechanics perspective.