The Eternal Recurrence of Classicality - Void Criticality, Repercolation, and Hilbert-Space Inflation within the Stochastic Rupture Framework

We develop a late-time cosmological extension of the Stochastic Rupture (SR) framework addressing three interconnected phenomena: the desclassicalization of cosmic voids, the nucleation of new causal domains through informational repercolation, and an alternative account of early-universe expansion through Hilbert-space inflation. Cosmic voids naturally evolve toward a low-saturation Many-Worlds regime (χ → 0) as the holographic capacity outpaces local entropy production. Black holes and collapsed structures approach the opposite limit (χ → 1), producing a polarized late-time cosmology.We derive the eective free-energy functional from the SR master equation via a gradient- flow construction, obtaining Veff(χ) = Γ2χ2 +α3χ3 − Sχ at tree level. A one-loop Wilsonian renormalization-group analysis of the MSRJD functional shows that stochastic pruning fluctuations generate a positive quartic operator δb ∼ α2∆ΛUV/D, producing metastability in the infrared without any ad hoc assumptions.When the eective potential develops two local minima, standard bubble-nucleation theory applies. We derive the corrected critical radius Rc ~ pD/ΓR, which diverges as the infrared relaxation rate ΓR → 0, naturally placing repercolation at cosmological scales in the late universe. The metastability condition is expressed as an explicit discriminant inequality on the renormalized SR parameters.The framework predicts critical void-size distributions, excess supervoid correlations, suppressed primordial tensor modes, and possible correlations between supermassive black holes and void boundaries.