{"id":"palomar/PALOMAR-2026-10-21-000010","url":"https://github.com/mmislan/palomar-template-free-heredity/tree/771a4dbad576d336e7e054a2d6a71958ea547711","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-21-000010-v1.json","repo":"https://github.com/mmislan/palomar-template-free-heredity","tags":["math.PR","math.LO","msc:60J27","msc:03B35","probability","chemical-networks","stochastic-models","mathematical-modeling"],"score":0,"title":"Chemical heredity without genetic templates","trust":"high","domain":"math.PR","source":"palomar","authors":["Michael Mislan"],"reviews":0,"subject":"math.PR","summary":"Acquisition and retention of catalytic function are established for a four-compartment chemical model with three prescribed catalyst types and finite resources. Starting with at least 512 copies of each of two old catalyst types per compartment, arbitrary candidate counts and arbitrary fuel occupancy, a seeding phase ends at time 30. At the fixed beta = 4,000,000 operating point, the joint mission through time 60 has failure probability at most 0.004517975690072193. It includes applicable count floors of 16 for both actual complementary daughters, 3,000,000 service credits, at least five…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-21","reactions":{},"formalized":true,"formalizes":[{"title":"Chemical heredity without genetic templates","identifier":"sha256:8c05af4ee1c4fa976c1ff337e54e14309abe45be5d6387c4f29aa0d217e7d148","relationship":"formalizes"},{"title":"Supplement S1 to Chemical heredity without genetic templates","identifier":"sha256:9ca61b6045573ed2fe1f12cd33ff52b2a7aa9a6cbe7aa73a6b33d44a358712a9","relationship":"adapts"}]}