I don't have much advice, but can sympathise. Our dd5 does not stop moving. All day. Even when she is emotionally exhausted. She wriggles and jumps and dances and runs. At dinner she's up and down off her chair (despite pleas for her to sit while she eats at the very least). We laugh about the fact that at least she'll never end up obese even if she were to spend all day every day in front of the TV - watching TV she's up and jumping or dancing or twisting herself in to various shapes.
She does so much of it unconsciously that even when I have asked her to be still literally a few seconds beforehand (say, when I am brushing her hair), she is back to wriggling because her body just can't stop!
It is exhausting, hilarious sometimes, but exhausting. If you do find a pause switch, let us know!