Earlier quoted context omitted.
According to Kasparov, Carlsen has a knack for sensing the potential energy in each move, even if its ultimate effect is too far away for anyone — even a computer — to calculate. In the grand-master commentary room, where chess’s clerisy gather to analyze play, the experts did not even consider several of Carlsen’s moves during his game with Kramnik until they saw them and realized they were perfect. “It’s hard to ex…
Now, that concept I'm familiar with. In fact, I think that's a rather common feeling, not even exclusive to chess or pros. Intuition (whatever that is) plays a great role, especially at the top level.
I vaguely paraphrased this from a paperback chess guide of mine (hopefully more credible than the internet). According to my guide, grand masters can effortlessly memorize the positions of realistic matches. But for "nonsensical chess matches" where the positions were randomly generated, the masters were just as bad at recall as the noobs. From this data, my guide inferred that masters rely on recalling attack-patterns from their experience more than brute-force calculation. Similar to how a tourney-strength player has openings memorized by heart, I imagine that a master recognizes common middle-game patterns like the back of his hand.