Abstract: Loop quantum cosmology predicts that, in simple models, the big bang
singularity of classical general relativity is replaced by a quantum bounce.
Abstract: Testing the constancy of the gravitational constant G has been a longstanding
The observed cosmic acceleration today could be due to an unknown energy
component (dark energy), or a modification to general relativity (modified
gravity). If dark energy models and modified gravity models are required to
predict the same cosmic expansion history H(z), they will predict different
growth rate for cosmic large scale structure, $f_g(z)=d\ln \delta/d\ln a
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