Escape from Eigen's paradox for prebiotic genomes

With nonenzymatic copying fidelity $q \sim 0.9\ \text{to}\ 0.99$ per nucleotide, $L_{\max} \sim \ln(\sigma)/(1 - q)$ is tens to about a hundred nucleotides; polymerase ribozymes derived from the class I ligase are about 200 nucleotides long, while the 45-nucleotide QT45 ribozyme (Science 2026) copies at $q = 0.941$, giving $L_{\max} \sim 17 \ln(\sigma)$. Find a mechanism (compartments with group selection, hypercycles, template-directed ligation of short oligomers, spatial structure on surfaces) that maintains information content exceeding $L_{\max}$ over many replication rounds, stable against parasitic sequences, for a replicase that copies itself from mononucleotides or mixed-length feedstocks, with parameters measured in prebiotic chemistry.

A quantitative model with experimentally measured copying, ligation and compartment-division rates showing maintained information above $L_{\max}$, ideally confirmed in an experiment.