On the measure problem in slow roll inflation and loop quantum cosmology
  We consider the measure problem in standard slow-roll inflationary models
from the perspective of loop quantum cosmology (LQC). Following recent results
by Ashtekar and Sloan, we study the probability of having enough e-foldings and
focus on its dependence on the quantum gravity scale, including the transition
of the theory to the limit where general relativity (GR) is recovered. Contrary
to the standard expectation, the probability of having enough inflation, that
is close to one in LQC, grows and tends to 1 as one approaches the GR limit. We
study the origin of the tension between these results with those by Gibbons and
Turok, and offer an explanation that brings these apparent contradictory
results into a coherent picture. As we show, the conflicting results stem from
different choices of initial conditions for the computation of probability. The
singularity free scenario of loop quantum cosmology offers a natural choice of
initial conditions, and suggests that enough inflation is generic.
