The quantum measurement problem arises because decoherence alone produces an improper mix ture, yet we experience a single outcome. We propose that classicality emerges from a percolation transition in an information-copying network. Using superoperator renormalization group (RG) flow, we show that the classical world corresponds to an IR attractor at γeff → ∞ (complete dephasing), reached when the copying probability exceeds the percolation threshold pc. At criticality, the R´enyi entropy scales as Sq ∝ lnN with a non-linear multifractal spectrum τ(q)– a smoking-gun signa ture numerically verified on 2D percolation clusters. Irreversible collapse requires a non-Markovian memory kernel K(τ) ∼ τ−α with α < 2; for α < 1 quantum revivals occur (damped oscillations of trace distance). We present three falsifiable predictions on existing NISQ platforms: (i) the critical exponent ν = 0.876 ± 0.008 (3D percolation universality class), measurable via decoherence time scaling; (ii) non-linear τ(q) accessible via randomized measurements on 20–50 qubits; (iii) BLP mea sure oscillations for α < 1 in trapped-ion phonon baths. The measurement problem thus becomes an experimental science with clear predictions, falsifiable hypotheses, and a path to engineering classicality on demand.
Alik Gimranov (Thu,) studied this question.