with ss being the scalar spin density and G\alpha \sim G a coupling constant. These corrections generate a repulsive force at high densities, which:
Avoids the initial singularity (no Big Bang singularity),
Drives vorticity at early times,
Modifies the evolution of the scale factors in anisotropic universes.
The energy-momentum conservation law is also modified:
T0,\nabla^\mu T_{\mu\nu} \neq 0,
unless the spin evolution is properly accounted for, ensuring that total angular momentum (orbital + spin) is conserved.
3.4 Dynamical System Formulation
To study the evolution of the universe in this framework, we formulate a dynamical system from the modified field equations.
In a Bianchi IX cosmology, we define:
Directional scale factors a(t),b(t),c(t)a(t), b(t), c(t),
