Originally Posted by lucaspa
It's the second sentence that I question. I have seen statements that say that spacetime itself could be the result of a quantum fluctuation. So, do your sources definitively state the second sentence?
To avoid the singularity condition, I believe #4 indicates that the universe was never any smaller than a planck-size nugget. If true, then such a space would represent a quantum field that would permit fluctuations. As you have indicated, the question is this: can a QM fluctuation give rise to the planck-size space itself?
I can check my sources on this, but I don't beleive any principle of QM allows for the spontaneous formation of *space itself* via a fluctuation. IOW, a fluctuation can't give rise to something that by definition is a quantum field. Rather, its quantum fields that give rise to fluctuations. As far as I know, there are only two types of possible QM fluctuations: pair production (vaccuum), and force particle. Even if this were *not* the case, where is the quantum field that is giving rise to a space time fluctuation if the pre-bang condition is null? Fluctuations *require* quantum fields.
Like I said, I can check my sources...but this just doesn't agree with what I have learned about QM fields and fluctuations.