Finite Groups for the Kummer Surface: The Genetic Code and a Quantum Gravity Analogy

The Kummer surface was constructed in 1864. It corresponds to the desingularization of quotient a 4-torus by 16 complex double points. is known play role some models quantum gravity. Following our recent model DNA genetic code based on irreducible characters finite group G5:=(240,105)≅Z5⋊2O (with 2O binary octahedral group), we now find that groups G6:=(288,69)≅Z6⋊2O and G7:=(336,118)≅Z7⋊2O can be used as symmetries hexamer heptamer proteins playing vital for biological functions. Groups G6 G7 are found involve structure their character table. An analogy between gravity DNA/RNA packings suggested.