Without assuming any solar neutrino spectra but merely assuming pure n
u(e) emissions from the Sun, neutrinos seen by the Kamiokande experime
nt should produce at least 2.6 +/- 0.45 SNU in the lower threshold Hom
estake experiment. This rate is compared with the total event rate of
2.55 +/- 0.25 SNU observed by the Homestake experiment which solar mod
els tell us should measure not only B-8 neutrinos seen by the Kamiokan
de but also uncertainty-free pep neutrinos (which contribute 0.2 SNU)
as well as Be-7 neutrinos whose energies are below the Kamiokande thre
shold. This comparison may imply that Be-7 neutrinos are more severely
suppressed than the B-8 neutrinos with respect to the predictions of
standard solar models, which cannot be explained by any known astrophy
sics solution. (In particular, this argument is independent of uncerta
inties in solar nuclear reaction rates.) It is also noted that the low
er limit that the Kamiokande observations set on the B-8 neutrino flux
restricts variations of standard solar models to require minimal rate
s of 3.6 SNU for the Homestake experiment and 114 SNU for GALLEX and S
AGE to achieve consistency (and still fit helioseismic data). Therefor
e, variations of standard solar models as solutions to the solar neutr
ino problem are inconsistent with the Homestake experiment and only ma
rginally allowed by the gallium experiments. If the gallium experiment
s eventually confirm a flux significantly below 114 SNU, it would seem
to imply new neutrino physics.