◄ WORLD V · SONNY 5DART 584 · a helldive into the living

THE AUTOCATALYTIC SET a set that makes itself

How does life bootstrap before there are genes? Kauffman’s answer: a collectively autocatalytic set — a group of molecules where every member’s formation is catalyzed by another member of the set. No single molecule copies itself; the whole set catalyzes its own reproduction, a closed loop of mutual creation. Above a critical ratio of reactions to molecules it emerges almost inevitably — “order for free.”

THE TECHNIQUE every member catalyzed from within — closure

The demo checks catalytic closure on a 3-molecule set where A→B→C→A each catalyze the next: live demo







  
HISTORY & CREDIT Kauffman · 1971/1986

  
“Life needed a self-copying molecule first.” — an autocatalytic set reproduces collectively with no individual self-replicator; catalytic closure suffices. cited

  
mutual making · each molecule’s reaction is catalyzed by another in the set.
closure · the loop closes — the set as a whole catalyzes its own creation.
Kauffman · above a reactions-per-molecule threshold, closure emerges for free (self-organization).

  
Reproduction without a replicator. origin of life






  
RECOMMEND FOR I-13 closure, on the compiler

  
On i-13, a 3-cycle where each member catalyzes the next has full catalytic closure:

  
$ i13 run lf_autocatalytic-set.i13
RUN OK · 54 step(s)
closure = 1   -- A->B, B->C, C->A each catalyzed within
self_sustaining = 1

  
Recommend as the KEEPER SHOT — catalytic closure. “A set that catalyzes its own formation” is a self-referential closure — the strongest structural candidate here. But it is a fixed point of the reaction graph (B43, self-reference), forall-pinned once the network is fixed. The panel rules; expected NULL, a fixed-point.