In a recent study of Thomas precession of electron spin in the context
of the Dirac equation, Shankar and Mathur identify the non-Abelian Be
rry potential (arising from Kramers degeneracy) with the meron. We poi
nt out that there is a global mathematical subtlety which prevents suc
h an identification. We go on to clarify the physical context in which
merons do arise as Berry potentials.