  We conjecture an embedding operator which assigns, to any 2n+1 hermitian
matrices, a 2n-dimensional hypersurface in flat (2n + 1)-dimensional Euclidean
space. This corresponds to precisely defining a fuzzy D(2n)-brane corresponding
to N D0-branes. Points on the emergent hypersurface correspond to zero
eigenstates of the embedding operator, which have an interpretation as coherent
states underlying the emergent noncommutative geometry. Using this
correspondence, all physical properties of the emergent D(2n)-brane can be
computed. We apply our conjecture to noncommutative flat and spherical spaces.
As a by-product, we obtain a construction of a rotationally symmetric flat
noncommutative space in 4 dimensions.
