  Writing the Poisson equation for the pressure in the vorticity-strain form,
we show that the pressure has a finite inertial range spectrum for high
Reynolds number isotropic turbulence only if the anomalous scaling exponents
$\mu$ and $\mu_{\omega}$ for the dissipation and enstrophy (squared vorticity)
are equal. Since a finite inertial range pressure spectrum requires only very
weak assumptions about high Reynolds number turbulence, we conclude that the
inference from experiment and direct numerical siimulation that these exponents
are different must be a finite range scaling result which will not survive
taking the high Reynolds number limit.
