It's Michio Kaku level of hand wavery and lack of rigor.
Very interesting!
This to me makes more sense that at a quantum level there are discreet particles that are being acted on according to relativity. I think of it more like a CPU where this is a clock input.
I am traveling close to the speed to light how is my watching running slower? How do the atoms in my watch know to run slower?
I am not suggesting that current quantum mechanics is more than a model, but I think we are along the right path to figure out the answer to my above question.
"quantum entanglement of whatever the underlying ‘atoms’ of spacetime are"
You are arguing Einstein's version of the universe. The disproval of his EPR paper [1] led to the discovery of entanglement.