  In this paper, we show that Padmanabhan's conjecture for the emergence of
cosmic space [arXiv:1206.4916] holds for the flat Friedmann-Robertson-Walker
universe in Einstein gravity but does not hold for the non-flat case unless one
uses the aerial volume instead of the proper volume. Doing this, we also show
that various works extending Padmanabhan's conjecture to non-Einstein and
non-flat cases have serious shortfalls. This analysis is done using the
Friedmann equation with the further assumptions of the holographic principle
and the equipartition rule of energy.
