Geometric Induction and the Autocatalytic Transition: From Passive Chemistry to Self-Replicating Graphs in QGEFT
Year: 2026
Type: preprint
Abstract: The current Paper 38 benchmark does not claim that full RNA biochemistry, enzyme support, or realistic prebiotic kinetics have already been derived on a graph. It does show that a high-information `12`-node template ring in QGEFT can recruit free vacuum nodes into a closed secondary copy under purely geometric induction. In the deterministic hero run (`seed = 7`, `alpha = 0.7`), replication reaches `75%` after generation `1` and full topological closure at generation `2`. Across the `32`-seed affinity scan, every tested affinity `>= 0.4` reaches full closure within five generations, while the fastest mean transition occurs at `alpha = 0.9` with mean closure generation `1.71875`.
Author: Cohen, Yaniv
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7161600813
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