Examine it more closely; you will find that it is a dynamical system composed of sextillions of parts, constantly entering and leaving the rock, and that the boundaries between the rock, the table, and the air are very fuzzy indeed. It isn't even encapsulated, nor are its interactions with its environment mediated by messages to which it freely chooses a response; it is its environment.
Your insight is remarkably well-written. I wish we could see our bodies in the same way, all of the time. The world might be a kinder place overall. Do you meditate?