  Recent studies indicate a close association between the distribution of prime
numbers and quantum mechanical laws governing the subatomic dynamics of quantum
systems such as the electron or the photon. Number theoretical concepts are
intrinsically related to the quantitative description of dynamical systems of
all scales ranging from the microscopic subatomic dynamics to macroscale
turbulent fluid flows such as the atmospheric flows. It is now recognised that
Cantorian fractal spacetime characterise all dynamical systems in nature. A
cell dynamical system model developed by the author shows that the continuum
dynamics of turbulent fluid flows consist of a broadband continuum spectrum of
eddies which follow quantumlike mechanical laws. The model concepts enable to
show that the continuum real number field contains unique structures, namely
prime numbers which are analogous to the dominant eddies in the eddy continuum
in turbulent fluid flows. In this paper it is shown that the prime number
frequency spectrum follows quantumlike mechanical laws.
