Would you explain what you are saying a little more clearly? Are you saying that material ‘pops’ into existence every once-in a while? Are you saying that the quantum event comes from nothing or does a quantum event arise from a quantum vacuum with a rich sea of fluctuting electrical activity? And when this quantum event which you reference “pops” into existence, into what space did it pop into at the moment of creation? All of science says just prior to creation space did not exist, nor matter, nor energy. Would you explain the Borde-Guth-Vilenkin theory which has disposed of the cosmological argument of a quantum event accounting for the creation of the universe? Thank you.
He doesn't need to explain it, because Borde-Guth-Vilenkin themselves not only don't claim any such thing, they actually wrote:
"What can lie beyond the boundary? Several possibilities have been discussed, one being that the boundary of the inflating region corresponds to the beginning of the Universe in a quantum nucleation event."
Vilenkin himself suggested one such possibility. http://mukto-mona.net/science/physics/a_vilinkin/universe_from_nothing.pdf
There are others. There is the possibility, for example, that time is finite but has no boundary. Another possibility is that time has only recently become time-like (in the sense of Lorentz invariance) and at the boundary was actually a space-like dimension. The authors you cite actually don't talk in the absolute terms you're suggesting; and they certainly don't rule out a uniquely quantum beginning to the universe.