Rotating Hyperspherical Universe in Einstein-Cartan Cosmology 2.0

Holographic Implications

If the universe is a boundary (brane) of a higher-dimensional bulk, cosmic torsion could be the holographic image of bulk angular momentum, much like AdS/CFT dualities suggest.

Summary

The Einstein--Cartan--Bianchi IX cosmology opens a conceptual bridge between observable anisotropies, vacuum energy compensation, and the geometrical structure of the multiverse. By integrating rotation, spin, and torsion into a topologically closed universe embedded in a higher-order rotational frame, it offers not only an empirically grounded model but also a philosophically coherent and thermodynamically consistent vision of cosmic evolution. Its proximity to quantum gravity concepts further enhances its potential as a unifying paradigm.

7. Conclusions and Future Directions

7.1 Summary of Findings

In this paper, we have developed and analyzed a novel cosmological framework based on the Einstein--Cartan theory of gravity applied to a rotating, closed, anisotropic universe described by the Bianchi IX metric. Our key findings include:

• The introduction of torsion sourced by spin density yields dynamical corrections to the Einstein field equations, with effective negative-pressure terms capable of avoiding cosmological singularities and seeding early-universe vorticity.

• The Bianchi IX hyperspherical geometry accommodates anisotropic expansion, shear, and rotation in a natural way, consistent with closed topology and observationally motivated curvature.

• The resulting dynamical system exhibits attractor behavior, with early anisotropies and rotation decaying over time toward an isotropic FLRW-like regime---resolving tensions between early- and late-universe observables.

• The model provides plausible explanations for observed anomalies in the Cosmic Microwave Background (CMB), baryon acoustic oscillations (BAO), and Type Ia supernovae, particularly: CMB low-\ell alignment (Axis of Evil), Dipolar anisotropy in the Hubble expansion, Ellipticity and direction-dependence in BAO patterns.

•