  The Emergence Proposal is the idea that all kinetic terms for fields in
quantum gravity are emergent in the infrared from integrating out towers of
states. It predicts that in a supersymmetric string theory context, the
tree-level prepotential terms can be recovered precisely by integrating out a
tower of non-perturbative states. In this note we present a new perspective,
and associated quantitative evidence, for this proposal. We argue that the
tree-level kinetic terms arise from integrating out the ultraviolet physics of
each of the states in the tower. This ultraviolet physics is associated to
extended objects, and cannot be captured by a standard particle Schwinger
integral. Instead, we argue that it should be captured by a Schwinger-like
integral where the proper time is analytically continued, and a contour is
taken around the origin. This maps to certain integral representations for the
moduli space periods, and indeed one recovers the tree-level prepotential
exactly. This interpretation suggests that the ultraviolet physics which gives
the leading contribution to the prepotential is localised on point
intersections of the extended objects. We also argue that over special loci in
moduli space there can exist a particle picture of the states, and an
associated simple particle Schwinger integral, which leads to the full
tree-level prepotential. These are loci with special degenerations, such as the
singular limit of the resolved conifold.
