  This article presents a comparative analysis of solar activity data, Mt
Wilson diameter data, Super-Kamiokande solar neutrino data, and nuclear decay
data acquired at the Lomonosov Moscow State University (LMSU). We propose that
salient periodicities in all of these datasets may be attributed to r-mode
oscillations. Periodicities in the solar activity data and in Super-Kamiokande
solar neutrino data may be attributed to r-mode oscillations in the known
tachocline, with normalized radius in the range 0.66 to 0.74, where the
sidereal rotation rate is in the range 13.7 to 14.6 year-1. We propose that
periodicities in the Mt Wilson and LMSU data may be attributed to similar
r-mode oscillations where the sidereal rotation rate is approximately which we
attribute to a hypothetical inner tachocline separating a slowly rotating core
from the radiative zone. We also discuss the possible role of the RSFP
(Resonant Spin Flavor Precession) process, which leads to estimates of the
neutrino magnetic moment and of the magnetic field strength in or near the
solar core.
