Time Asymmetry of Cosmic Background Evolution in Loop Quantum Cosmology
  We discuss the asymmetry of cosmic background evolution in time with respect
to the quantum bounce in the Loop Quantum Cosmology (LQC), employing the value
of scalar field at the bounce $\phi_{\rm B}$. We use the Chaotic and the $R^2$
potentials to demonstrate that a possible deflation before the bounce may
counteract the inflation that is needed for resolving the cosmological
conundrums, so a certain level of time asymmetry is required for the models in
LQC. This $\phi_{\rm B}$ is model dependent and closely related to the amounts
of deflation and inflation, so we may use observations to confine $\phi_{\rm
B}$ and thus the model parameters. With further studies this formalism should
be useful in providing an observational testbed for the LQC models.
