  We present new 29-Si NMR spectra in URu2Si2 for varying temperature T, and
external field H. On lowering T, the systematics of the low-field lineshape and
width reveal an extra component (lambda) to the linewidth below T_N ~ 17 K not
observed previously. We find that lambda is magnetic-field independent and
dominates the low-field lineshape for all orientations of H with respect to the
tetragonal c axis. The behavior of lambda indicates a direct relationship
between the 29-Si spin and the transition at T_N, but it is inconsistent with a
coupling of the nuclei to static antiferromagnetic order/disorder of the U-spin
magnetization. This leads us to conjecture that lambda is due to a coupling of
29-Si to the system's hidden-order parameter. A possible coupling mechanism
involving charge degrees of freedom and indirect nuclear spin/spin interactions
is proposed. We also propose further experiments to test for the existence of
this coupling mechanism.
