We present new Keck I/HIRES observations at R = 45,000 (=3 pixels) of
seven stars near the turnoff of the old, metal-poor globular cluster M
92. In three of these stars, we have signal-to-noise ratios (S/Ns) of
40 pixel(-1), and in the other four, the S/N is near 20. The Li abunda
nce in star 18 is high compared with the halo held-star plateau and is
similar to that in the remarkable Li-rich halo field star ED +23 degr
ees 3912. In addition to the high Li abundance in star 18, there is a
dispersion in Li abundance in our seven stars covering the full range
of a factor of 3. We have attempted to determine whether the excess Li
in star 18 is due to less than average Li depletion in this star from
an even higher initial abundance, as predicted by the Yale rotational
models, or whether it is due to the extraordinary action of Li produc
tion mechanisms in the material that formed this star. We have found n
o convincing evidence that favors Li production: (1) Stars 18, 21, and
46 have identical Ba abundances, which argues against Li production c
arrying an s-process signature. (2) These three stars have indistingui
shable Ca, Cr, Fe, and Ti, which argues against supernova Li productio
n. (3) We discuss v-process production of Li and find no convincing ob
servational evidence for this from the strengths of the Mg, Ca, and Fe
lines. (4) The similarity in age of these cluster stars argues agains
t cosmic-ray Li production that requires age differences of gigayears.
The most likely explanation for the Li dispersion is differential Li
depletion from a (possibly significantly) higher primordial Li abundan
ce due to differences in the initial angular momentum in each star fol
lowed by spin-down; the most rapid rotators destroy the most Li, where
as the initially slower rotators preserve more Li.