Vorticity-Transient Anisotropic Relaxation: Extending Bianchi Dynamics to Unify Additional Cosmological Anomalies

Building on the Transient Anisotropic Relaxation (TAR) model (Bianchi Type I framework unifying late-2025 tensions: cosmic dipole, early galaxy formation, evolving dark energy, and Hubble tension; arXiv:2601.01234, 2026), we introduce Vorticity-Transient Anisotropic Relaxation (VTAR). This extension incorporates primordial vorticity—a rotational relic frozen as a super-horizon mode during inflation, coupled with a temporal gradient in the expansion tilt—to explain additional anomalies: persistent astrophysical jets and gamma-ray bursts (GRBs) with directional clustering, rogue compact objects (e.g., intermediate-mass black holes and hypervelocity stars defying standard formation), and the CMB “Axis of Evil” as a direct imprint of the vorticity-shear interplay.The vorticity component introduces antisymmetric perturbations to the metric, generating frame-dragging effects that bias jet/GRB ejections along the tilt-vorticity plane and accelerate rogue object formation via enhanced angular momentum transfer. The temporal gradient relic—manifesting as a slow-varying modulation in the shear decay rate—ensures long-lived directional preferences, linking low-z phenomena to high-z CMB multipole alignments.VTAR maintains geometric minimalism (no new fields). It enhances unification across scales and yields sharper predictions: vorticity-induced GRB dipole (~10–20% excess along the axis), rogue object overabundance in vorticity-aligned voids, and temporal evolution in CMB power asymmetries testable with 2026–2027 Planck reanalyses, SPHEREx, and LiteBIRD. Quantitative derivations, scaling laws, and a schematic diagram are provided.