A Percolation Correspondence for the S8 Suppression Parameter A companion note to the Stochastic Rupture framework

Key Points

• This work aims to establish a correspondence between the bond percolation threshold and the S8 suppression parameter in cosmology.
• Numerical analysis of a cubic lattice model at the Planck scale.
• Comparison of bond percolation threshold with observational data from DES Year 3 and KiDS-1000.
• Demonstration of redshift scaling as an attractor solution in the Λ-dominated dissipation regime.
• The bond percolation threshold is found to be pc = 0.2488, closely matching the cosmological parameter e0 = 0.249±0.035.
• The agreement is within 0.1%, well within the 1σ observational range.
• The (1+z)−2 redshift scaling is confirmed as the solution in the relevant field equation.