Is the field of numbers a real physical field? On the frequent distribution and masses of the elementary particles

Frequent distributions of the databases of the numerical values obtained by resolving algorithms, which describe physical and other processes, give a possibility for bonding the probability of that results the algorithms get. In the frequent distribution of the fractions of integers (rational numbers), local maxima which meet the ratios of masses of the elementary particles have been found.
Consider a general case of an arbitrary function F(x, y, z,...). Take under consideration a region of the values of this function, split into numerous intervals. Filling up the intervals [...]