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Why a Single Short Replicative Unit Cannot Start Translation
HYC-1979 Lesson 1: Eigen, Schuster, Hypercycle
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An origin of translation is not a single-molecule event. A primitive translation apparatus is a distributed, multi-component function: it requires template RNA, tRNA adaptors, ribosomal RNA, ribosomal proteins, aminoacyl-tRNA synthetases, and auxiliary energy, cofactor and processing factors. Each component must itself be encoded by heritable information, and together their information demand is far larger than any one short replicator can carry.

Single short replicator Minimal translation apparatus error-threshold ceiling Prerequisites can be present tRNA-sized RNA Β· common amino acids but they do not solve coding or coordination stays below the ceiling one short replicator short RNA Total demand exceeds the ceiling every component adds a sequence to maintain template RNA tRNA adaptors ribosomal RNA ribosomal proteins aminoacyl-tRNA synthetases energy, cofactor and processing factors Functional integration of several short replicators each unit stays below its own ceiling β€” together they carry more information

The Information-Capacity Ceiling

  • Every component costs information: tRNAs, rRNAs, ribosomal proteins and synthetases are distinct molecules, so each one adds a sequence that replication must maintain.
  • The error threshold: at a per-base mutation rate ΞΌ, a replicator of length L survives only while ΞΌΒ·L stays below a critical value. Longer sequences accumulate errors faster and suffer mutational decay.
  • Capacity mismatch: the coding length needed for even a minimal translation system exceeds what one short replicator can hold below the error threshold. A single unit that tried to encode everything would be pushed past the ceiling and lose its own information.

Prerequisites Are Not Sufficient

Reproducible RNA molecules as large as tRNA and a supply of sufficiently common amino acids are necessary prerequisites, but they do not solve the coordination, assembly and coding problem: which adaptor carries which amino acid, how adaptors dock on a template, and how the catalytic core is assembled. A single short replicator cannot co-emerge with translation, because it cannot simultaneously hold its own replication information and the whole distributed apparatus.

Functional Integration
The way out is not a bigger single replicator but functional integration of several short replicators: each unit stays below its own error-threshold ceiling, while catalytic and coding couplings let the combined system exceed the capacity of any single unit. This is the conceptual doorway to hypercyclic organization.