Include observational constraints from cosmic chronometers and redshift drift data,
Extend to angular slices to model dipole/quadrupole Hubble anisotropy,
Explore dynamical evolution of coupling constants ij\alpha_{ij} under RG-like flows.
B. Galaxy Spin Correlations: Tidal Torque Simulations with Fractal Initial Perturbations
1. Objective
We investigate how fractal initial conditions, as expected from a layered holographic cosmogenesis scenario, affect the large-scale orientation of galactic angular momentum vectors. In particular, we simulate tidal torque theory (TTT) within a non-Gaussian fractal matter distribution, to test whether observed spin alignments and statistical anisotropies in galaxy catalogs can arise without invoking exotic inflationary mechanisms.
2. Theoretical Background
Under standard tidal torque theory, the angular momentum L\vec{L} of a proto-galaxy is generated by:
LiijkTjlIlkL_i \propto \epsilon_{ijk} T_{jl} I_{lk}
Where:
TjlT_{jl} is the tidal shear tensor derived from the gravitational potential,
