Introduction

1. Questions

2. The chain of arguments leading to a number theoretical model for the genetic code

3. What is the physical counterpart of the number theoretical thermodynamics?

First model for the evolution of the genetic code

1. Does amino-acid structure reflect the product structure of the code?

2. Number theoretical model for the genetic code

Basic ideas and concepts of the second model

1. Genetic code from the maximization of number theoretic information?

2. Genetic code from a minimization of a number theoretic Shannon entropy

3. High temperature limit for bosonic, fermionic, and supersymmetric thermodynamics

Could finite temperature number theoretic thermodynamics reproduce the genetic code?

1. How to choose the Hamiltonian?

2. Could supersymmetric n₀> 0 polynomial thermodynamics determine the genetic code?

3. Could small perturbations of Hamiltonian cure the situation?

4. Could one fix Hamiltonian H(r) from negentropy maximization?

5. Could the symmetries of the genetic code put constraints to number theoretical thermodynamics?

Confrontation of the model with experimental facts

1. Basic facts about aminoacids

2. Could the biological characteristics of an aminoacid sequence be independent on the order of aminoacids?

3. Are the aminoacids and DNAs representing 0 and 1 somehow different?

4. The deviations from the standard code as tests for the number theoretic model

5. Model for the evolution of the genetic code and the deduction of n→ p(n) map from the structure of tRNA

6. Genetic code as a product of singlet and doublet codes?

Exponential thermodynamics does not work

1. What can one conclude about p-adic temperature associated with the genetic code in the case of exponential thermodynamics?

2. Low temperature limit of exponential thermodynamics

3. How to find the critical temperature in exponential thermodynamics?

Appendix

1. Computational aspects

2. Number theoretic model for singlet and doublet codes as a toy model