Critical-window emergence of autocatalytic sets under reaction-channel quotienting
Hordijk and Steel (https://arxiv.org/abs/1605.03919, Section 7, Eq. (21)) conjectured a zero-one threshold for RAF emergence at linear mean catalysis. An interior limiting law is established for the reversible binary-polymer model with monomer/dimer food and reaction channels obtained by identifying the split descriptions u + v and v + u precisely when uv = vu. Each molecule independently catalyzes each channel, with one catalysis coordinate shared by both directions. For every real sequence f(n)/n → λ > 0, the clamped channel parameter eventually equals f(n)/|J_n|, and the probability of a…
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