But I dont understand why they would go through the middle of the pyramid to raise stones. You would have to lower the stone below the level of stones already placed. Or am I reading that wrong. The Egyptians did have a fantastic knowledge of hydraulic engineering. Also when it got to a certain level trying to keep it would have to be supported by a very wide water tight base. The interior of pyramids Ive seen are coarse cut stones. The bottom diagram seems to just show the kings chamber. If I remember right the pyramid was essentially a cap over the chamber cut into bedrock. Unlike some other pyramids where they are elevated in the structure. I can see them using the dam and water way to bring in stones and maybe raise them some to the outside of the pyramid. If they brought them in under the outer ring of the pyramid then down under they would need to drain the water from below grade to bring in the next set of stones.
Im more a spiral ramp believer. Maybe assisted by hydraulics to lift or deliver from the outside.I looked up the original Plos One manuscript still trying to digest that. Getting water from the Abusir wadi would insure after rains they had enough for lower stones. The pyramids of Giza do show signs of channels to the pyramid that link to the Nile. Im fairly sure they would have used the same system just to bring stones.
Going to go back through it. Just not convinced it was from the center up.
Lastly when I hear suggest it may have been used that way it casts it in doubt. I dont know if they ever will know for sure.