Arithmetic for the unification of quantum mechanics and general relativity

In the paper we bring attention to description of complex systems in terms of self-organization processes of prime integer relations. Revealed through the unity of two equivalent forms, arithmetical and geometrical, the description may have the potential for the unification of quantum mechanics and general relativity. Remarkably, based on integers and controlled by arithmetic only such processes can define nonlocal correlations between parts of a complex system and the geometry of their spacetimes.