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.
I think in some sense this is the wrong question to ask. Your watch isn't running slower. The point is that if you're moving, you must be moving relative to something else. Their watch will appear slower to you, and your watch will appear slower to them. The counterintuitive part is that you're both correct.
The reason all this comes about is that both observers measure the speed of light as traveling at the same speed, but they can't agree on the path that the light has taken.
If we use this idea there are some space-time atoms, to explain entanglement. That same concept could explain space-time itself better.
It is similar to how Einstein used anomalies in the application of Newtonian physics to light to postulate a more accurate model. Explaining entanglement might be the gateway to explaining space-time more accurately.
"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.