What is a cosmic Galois group?

I shall report on a new research project, centered about a tentative new symmetry group in physics, commuting to the Poincaré group , as well as to the so-called gauge groups. This group should govern the fundamental numerical constants occurring in the so-called standard model of high energy physics; like the ratios of the fundamental particles (electron, quarks, ...). The mathematical theory rests on new developments in arithmetic algebraic geometry (motives, periods, motivic Galois group).