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 \Lambda CDM 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 \leq w ( z ) \leq 1 , we find that any observation that rules out \Lambda CDM 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 .