  t is proved in this paper that there is a fine correlation between the values
of $|\zeta(1/2+i\varphi(t)/2)|^4$ and $|\zeta(1/2+it)|^2$ which correspond to
two segments with gigantic distance each from other. This new asymptotic
formula cannot be obtained in known theories of Balasubramanian, Heath-Brown
and Ivic.
