Emergent Cosmological Topology from Reaction-Diffusion-Projection Dynamics: A Structural Account of the Cosmic Web with a Falsifiable Growth-Exponent Prediction

Key Points

• This research aims to elucidate the structural characteristics of the cosmic web through reaction-diffusion dynamics and propose a falsifiable growth-exponent prediction.
• Utilized a reaction-diffusion-projection partial differential equation (PDE) on a 32^3 comoving lattice.
• Generated structure-to-void volume fraction and Euler characteristic without parameter tuning.
• Predicted structure growth using V_0(t) = A(t+1)^alpha + B with parameters derived from the data.
• Achieved a structure-to-void volume fraction of V_0 = 29.97% and Euler characteristic chi = -1602 at t=200.
• Proposed a growth exponent alpha ~ 1.063, distinguishable from LambdaCDM linear growth.
• Highlights the potential resolution of the cosmological constant problem through projection-saturated void entropy.