Testing dark energy paradigms with weak gravitational lensing
  Any theory invoked to explain cosmic acceleration predicts consistency
relations between the expansion history, structure growth, and all related
observables. Currently there exist high-quality measurements of the expansion
history from Type Ia supernovae, the cosmic microwave background temperature
and polarization spectra, and baryon acoustic oscillations. We can use
constraints from these datasets to predict what future probes of structure
growth should observe. We apply this method to predict what range of cosmic
shear power spectra would be expected if we lived in a LambdaCDM universe, with
or without spatial curvature, and what results would be inconsistent and
therefore falsify the model. Though predictions are relaxed if one allows for
an arbitrary quintessence equation of state $-1\le w(z)\le 1$, we find that any
observation that rules out LambdaCDM due to excess lensing will also rule out
all quintessence models, with or without early dark energy. We further explore
how uncertainties in the nonlinear matter power spectrum, e.g. from approximate
fitting formulas such as Halofit, warm dark matter, or baryons, impact these
limits.
