To me the emergence of space-time does not sound a realistic idea and I have not seen any proposals which would not have been circular and start from the existence of 2-surface in 3-space realizing holography and getting 3-space, which was already there. A good dose of philosophical thinking could have saved us from many fashions of theoretical physics of last decades;-).
A more realistic version of the idea would be that entanglement makes possible the emergence of conscious experience of 3-D space. The existence of 3-space as a geometric object does not require entanglement.
In TGD picture the information characterizing quantum states can be localized by strong form holography (SH) to partonic 2-surfaces (or their light-like metrically 2-D orbits, I am getting pedantic;-)) and string world sheets. However, the possibility of entanglement between partonic 2-surfaces means that it is not enough to give only the 2-D quantum data at partonic 2-surfaces. Also the entanglement between them must be specified. This brings in half-discretized form of 3-dimensionality: not discrete lattice of points but discrete points replaced by partonic 2-surfaces. Strings are accompanied by magnetic flux tubes and the flux tube network gives rise to our conscious experience of 3-space.
In TGD inspired quantum biology biological body (BB) has this kind of magnetic spine, magnetic body (MB) , actually extending far beyond the boundaries of BB and giving rise to third person perspective of conscious experience and explains out of body experiences and near death experiences. EEG makes possible communications to MB and the control of BB by MB.
For a summary of earlier postings see Latest progress in TGD.