I think it has to do with the tone with which you strike the key, so that when the hammer hits the string it's hits you right there too. It's the difference between a flat, harsh sound, and a pure, singing sound. It's when you can take what you are experiencing emotionally and plug it into the music much like you would a mathematical equation, making the music personal.
It's vague, I think, because people are expressive in different ways. Interpretation is boundless.