An answer to Mikhail Gromov - 1/4 Generation, Transformation, Transmission, Memorization, Storage and (...)
An answer to Mikhail Gromov - 1/4 Generation, Transformation, Transmission, Memorization, Storage and (...) 7.4.2026, Institut des Hautes Etudes Scientifiques (IHES) At the beginning* of the video (with deactivated comments) Mikhail Gromov asks for a principle for the Triplet or 21 proteins code of biology. I want to answer on this question: 1. Triplet to 21 proteins relation via Fibonacci numbers: Triplet - 3 - F(4) and L(2) 21 proteins - 21 - F(8) Both are Fibonacci numbers. The same holds for four bases to a triple code. 2. Four bases to Triplet relation via Lucas numbers: Four bases - 4 - L(3) Trilet - 3 - L(2) and F(4) Both are Lucas numbers. 3. Relation 1. and 2.: L(2) = 3 and F(4) = 3 link both relations. q.e.d. Conclusion: The correspondence may appear arbitrary from a biochemical standpoint, but the underlying counts (4, 3, 21) suggest the genetic code is constrained by the same recursive symmetries [ F(n), L(n)] found in phyllotaxis and other biological scal...