  We propose a reinterpretation and reformulation of the single-particle
Green's function in nonrelativistic quantum many-body theory with an emphasis
on normalization. By downfolding a correlation function covering all of Fock
space into the observable portion, we derive a nonlocal Dyson equation which
depends on an unknown downfolding frequency. The downfolding frequency is
determined by solving the inverse problem so that the spectral function of the
single-particle propagator is a Dirac-$\delta$ function. Upon measurement, the
system collapses stochastically onto one of these normalized solutions. This
collapse has a nonlocal effect on the path the particle takes, in agreement
with quantum entanglement. We postulate that the multiplicity of each quantized
solution is directly related to the ensemble averaged spectrum and the entropy
created by measurement of the particle.
  In the final part, we outline a new picture of dynamics in quantum many-body
systems. As a function of the coupling strength, the multiplicity for collapse
has a complicated form due to the shape of the quantization condition. This
structure creates an entropic force from counting quantized solutions which is
predominantly attractive but likely also has a narrow repulsive regime at weak
coupling. Upon collapse, an internal spacetime forms between the two points in
order to carry the information gained from the reduction of the probabilistic
many-body state. The repeated creation of these spacetime bridges defines an
internal spacetime with a complicated shape and history. We treat the quantum
system as a finite informational resource that holds information about possible
normalized outcomes, collapses the wave function to reset after encountering a
conflict, and creates an internal spacetime to carry the information gained
with every collapse.
