{"id":"hexagon/2610.00440","pdf":"https://hexagonmath.org/pdf/2610.00440v1","url":"https://hexagonmath.org/abs/2610.00440v1","tags":["math.DS","msc:60J27","msc:03B35","chemical heredity","finite resources","origin of life","stochastic reaction networks","template-free heredity"],"score":0,"title":"Chemical heredity without genetic templates","domain":"math.PR","origin":"ai-generated","source":"hexagon","authors":["Michael Mislan"],"reviews":0,"subject":"math.PR","summary":"We prove two quantitative forms of chemical heredity that do not rely on copying a genetic sequence. In the first model, a population of four compartments carries three prescribed catalyst types that compete for a shared local fuel. Two types are present from the start; a third is supplied for a fixed seeding period, after which all catalyst input stops. We prove that, with failure probability at most 0.004517975690072193, a single finite-stock process acquires the third type and keeps all three present in both daughters of every division, delivers three million catalytic conversion credits…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-21","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":true,"formalizations":["https://palomar-registry.org/entry?id=PALOMAR-2026-10-21-000010&version=1"],"human_understanding":"some"}