This was also noted by Arifa Akbar in a review in The Independent:
Physics began to sound first like metaphysics ("Particles that make this diamond are in communication with every one of you and with everything in the universe") and then, like Buddhism ("When I heat this diamond up, all the atoms in the universe change their energy levels... Everything is connected to everything else"). These wondrous statements made quantum physics seem suddenly clear cut, until it got complicated again.
Similarly David Butcher in The Radio Times:
he shows how diamonds are made up of nothingness, and how one such precious gem in the heart of London is in communication with the largest diamond in the cosmos. He also reveals how things can be in two places at once
It is good to see the actual equations of quantum physics, or a version of them, in this case Feynman's path-integration method, actually being shown in a popular presentation, but the interpretation given to it is just one of many, none of which are yet entirely satisfactory. The problem is that electrons are not analogous to "particles" of sand, although that term is still used to describe them. I sometimes think that they are perhaps more like a "cloud" or "swarm". Surely his interpretation of the Pauli exclusion principle is just plain wrong.