I certainly don't get as deep as that physicist, but I do think I understand. When I'm working out a difficult logical/data/programmatic problem, then I use my hands in a similar way. I'll form hand shapes that in my mind represent geometric shapes and physically use my hands to "arrange" them in various ways until something "clicks" in my head. That "click" isn't the win of finding a solution, but more like a feeling that I have now grasped the true essence of the problem.