In my perception it is our emerged part of consciousness in this emerged reality that is responsible for the Flow of time experience and the awareness of continuity of space.
The first question however with the idea of "emerged reality" is where it emerges from. I will explain below (in short) how.
I argue that the source of all emerging phenomena is time and space-less. Both time and space are restrictions of our emerged reality:
ALL time-moments (of past, NOW and future) can be harboured in an eternal basket of time. You can wonder if time can only be experienced through consciousness. Then consciousness is creating order in the infinite chaos of moments. This order we are aware of as: the flow of time (through our consciousness). The same reasoning, I would like to have for the idea space-less. The space-less entity could be imagined as harbouring all possible and for us impossible space-dimensions (n-dimensions), each dimension with its own infinite number of coordinates. ALL these coordinates are independent of each other, they are ALL without reference. Again, here in this Total Simultaneity ORDER out of this CHAOS is created by consciousness. The arrangement of coordinates in our three-dimensional leads to the awareness of "SPACE". The combination of these two "creations" leads to the experienced reality.
Where is this "Total Simultaneity"?
The answer: EVERYWHERE beyond the Planck length and time. At EACH point (so also points that have a less distance as the Planck length) of our emerged reality we can approach the Planck space and time, and after that frontier (that is not a strict line but a blurry region where TS and reality are fluctuating). Approaching the Planck time-length, the same happens. Total Simultaneity however will NEVER be reachable for agents that inhabit a from consciousness ordered emergent phenomenon that we are calling REALITY, because "there" rules only chaos.
May be, you can imagine that Total Simultaneity also harbours Total Consciousness. Our consciousness is only a tiny part (like our reality) of it, but also part of the origin of our reality.
Wilhelmus de Wilde