Emergence of Cosmic Space and Minimal Length in Quantum Gravity
  An emergence of cosmic space has been suggested by Padmanabhan in
[arXiv:1206.4916]. This new interesting approach argues that the expansion of
the universe is due to the difference between the number of degrees of freedom
on a holographic surface and the one in the emerged bulk. In this paper, we
derive, using emergence of cosmic space framework, the general dynamical
equation of FRW universe filled with a perfect fluid by considering a generic
form of the entropy as a function of area. Our derivation is considered as a
generalization of emergence of cosmic space with a general form of entropy. We
apply our equation with higher dimensional spacetime and derive modified
Friedmann equation in Gauss-Bonnet gravity. We then apply our derived equation
with the corrected entropy-area law that follows from Generalized Uncertainty
Principle (GUP) and derive a modified Friedmann equations due to the GUP. We
then derive the modified Raychaudhuri equation due to GUP in emergence of
cosmic space framework and investigate it using fixed point method. Studying
this modified Raychaudhuri equation leads to non-singular solutions which may
resolve singularities in FRW universe.
