  We describe the short-distance properties of the spacetime of a system of
D-particles by viewing their matrix-valued coordinates as coupling constants of
a deformed worldsheet $\sigma$-model. We show that the Zamolodchikov metric on
the associated moduli space naturally encodes properties of the non-abelian
dynamics, and from this we derive new spacetime uncertainty relations directly
from the quantum string theory. The non-abelian uncertainties exhibit
decoherence effects which suggest the interplay of quantum gravity in multiple
D-particle dynamics.
