[Paper Review] Primordial Rotation of the Universe and Angular Momentum of a wide range of Celestial Objects

C. Sivaram, Kenath Arun|arXiv (Cornell University)|Nov 2, 2011

Solar and Space Plasma Dynamics3 citations

TL;DR

This paper proposes that primordial rotation of the universe, driven by a cosmological spin density, naturally explains the origin of angular momentum in celestial objects from stars to galaxies. By introducing a background torsion field acting as an effective cosmological constant, the model accounts for the observed quadratic scaling of angular momentum with mass and provides a repulsive 'centrifugal' force that accelerates cosmic expansion.

ABSTRACT

The origin of rotation or spin of objects, from stars to galaxies, is still an unanswered question. Even though there are models which try to explain this, none of them can account for the initial impulse that gave rise to this spin. In this paper we present that a cosmological model that contains a term involving the primordial spin of the universe can explain how these objects acquired the property of spin. This model also gives a natural explanation for the quadratic scaling of angular momentum with mass. Again, from this model, the background torsion due to a universal spin density not only give rise to angular momenta for all structures but also provide a background 'centrifugal term' acting as a repulsive gravity accelerating the universe, with spin density acting as effective cosmological constant.

Motivation & Objective

• To address the unresolved origin of spin in celestial bodies from stars to galaxies.
• To explain the observed quadratic scaling of angular momentum with mass across diverse astrophysical systems.
• To propose a cosmological model incorporating primordial spin as a fundamental property of the universe.
• To demonstrate how universal spin density generates a background torsion field that acts as an effective cosmological constant.
• To unify the origin of angular momentum and cosmic acceleration via a single geometric framework involving torsion and spin density.

Proposed method

• Introduces a cosmological model with a term representing primordial spin of the universe.
• Incorporates torsion field effects arising from universal spin density to generate angular momentum in cosmic structures.
• Derives equations showing that angular momentum scales quadratically with mass, consistent with observations.
• Models the spin density as a source of effective negative pressure, mimicking a cosmological constant.
• Uses field equations from a modified gravity framework to describe the dynamics of torsion and its cosmological consequences.
• Analyzes the role of background torsion as a repulsive force accelerating the universe, analogous to dark energy.

Experimental results

Research questions

• RQ1 How can the initial angular momentum of stars and galaxies be explained by a primordial origin rather than late-time processes?
• RQ2 Why does angular momentum scale quadratically with mass across a wide range of celestial objects?
• RQ3 Can a universal spin density in the early universe generate a background torsion field that influences cosmic expansion?
• RQ4 What is the role of torsion in producing a repulsive gravitational effect equivalent to a cosmological constant?
• RQ5 How does the inclusion of primordial rotation resolve the puzzle of spin origin in cosmology?

Key findings

• The model successfully explains the observed quadratic dependence of angular momentum on mass across diverse astrophysical systems.
• Background torsion from universal spin density produces a repulsive force that accelerates cosmic expansion, acting as an effective cosmological constant.
• The primordial spin of the universe provides a natural origin for the initial impulse that gives rise to rotation in celestial objects.
• The framework unifies the origin of angular momentum and cosmic acceleration through a single geometric mechanism involving torsion.
• The model predicts that spin density contributes to the large-scale dynamics of the universe, offering a geometric alternative to dark energy.