Rumer's transformation: A symmetry puzzle standing for half a century

Area of Science:

• Genetics
• Molecular Biology
• Biophysics

Background:

• The standard nuclear genetic code's elucidation in 1966 was followed by Rumer's discovery of a codon symmetry.
• Rumer's transformation alters codon degeneracy, but its origin and biological significance remain largely unknown.
• The universality of Rumer's symmetry across species highlights its fundamental nature.

Purpose of the Study:

• To investigate the origin of Rumer's symmetry in ancestral genetic codes.
• To explore the potential biological significance of Rumer's symmetry.
• To connect Rumer's symmetry with stereochemical properties of ancestral molecular machinery.

Main Methods:

• Analysis of ancestral genetic code versions.
• Investigation of stereochemical symmetries in ancestral synthesis machinery.
• Exploration within mathematical models of the genetic code, including the non-power model and circular codes.

Main Results:

• Rumer's symmetry likely originated in an ancestral genetic code (pre-early code).
• The symmetry is a natural consequence of stereochemical properties of the ancestral synthesis machinery.
• Conservation of Rumer's symmetry suggests roles in error detection, protein synthesis control, and frame maintenance.

Conclusions:

• Rumer's symmetry has deep evolutionary roots in the genetic code.
• The symmetry's conservation points to crucial biological functions.
• Mathematical frameworks like the non-power model and circular codes provide insights into Rumer's symmetry.