Mathematical modeling explores boundaries of cluster amplification in environmental settings, indicating implications for matter presence.
CDN-235 bounds the cluster amplification escape hatch left by CDN-234. Modeling environmental amplification as A_env = lambda^alpha, the fiducial separation-compatible cluster boundary requires A_env = 16.000 for zero residual matter. At lambda=20, closure requires alpha=0.926. A diffusive alpha=0.5 law would need lambda=256.006, while alpha=2/3 needs lambda=64.001 and alpha=1 needs lambda=16.000. Ordinary cluster-scale ratios therefore require near-linear coherence scaling, or residual matter remains explicit.
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Nicky Joseph Hubertus Catharina Hacquier (2026) studied this question.
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