The Great Attractor as a Trajectory: A Testable Prediction of Residual Vorticity in the Local Peculiar Velocity Field

The bulk motion of the Local Group and the Laniakea supercluster toward the Great Attractor region is usually interpreted as gravitational infall toward a mass overdensity. This note proposes examining an alternative reading: that of an orbital component, i.e. a trajectory with a transverse rather than purely radial motion, understood as the local manifestation of a residual cosmological vorticity. This framework, referred to here as the mycelial hypothesis, belongs to the class of shear-free Gödel-type global rotation models, the only ones compatible with isotropy bounds from the cosmic microwave background, and assumes a non-rigid vorticity with misaligned local axes. It yields a discriminating prediction: the standard model predicts that the large-scale peculiar velocity field derives from a potential and therefore has vanishing curl at linear order, whereas a residual vorticity predicts a non-zero curl, coherent in amplitude and incoherent in direction. Treating the vorticity implied by the bulk motion of Laniakea as a calibrated parameter, the model yields a predicted amplitude of about 1.5 km/s/Mpc, to be confronted with the public Cosmicflows-4 dataset. An explicit refutation criterion is stated, together with a secondary prediction concerning the chirality of spiral galaxies. The binding component is further placed quantitatively within dark-energy parameter space: structuring at filament scales requires an effective sound speed of order 1e-6 to 1e-5, i.e. the cold dark energy regime.