We show that low-order g-modes with large enough amplitudes to affect
significantly the solar neutrino fluxes would produce surface velociti
es that are 10(4) times larger than the observed upper limits and henc
e are ruled out by existing data. We also demonstrate that any large-a
mplitude, short-period oscillations that grow on a Kelvin-Helmholtz ti
me scale will require, to affect solar neutrino fluxes, a large amount
of energy (for g-modes, 10(9) times the energy in the observed p-mode
oscillations) and a tiny amount of dissipation (for g-modes, 10(-8) t
he fractional dissipation rate of the p-modes).