I love it how it's ambiguous whether the three minutes or the hour is supposed to be the real time passed in your comment, but according to Csíkszentmihályi both can indicate a flow state.
> One of the most common descriptions of optimal experience is that time no longer seems to pass the way it ordinarily does. The objective, external duration we measure with reference to outside events like night and day, or the orderly progression of clocks, is rendered irrelevant by the rhythms dictated by the activity. Often hours seem to pass by in minutes; in general, most people report that time seems to pass much faster. But occasionally the reverse occurs: Ballet dancers describe how a difficult turn that takes less than a second in real time stretches out for what seems like minutes: "Two things happen. One is that it seems to pass really fast in one sense. After it’s passed, it seems to have passed really fast. I see that it’s 1:00 in the morning, and I say: 'Aha, just a few minutes ago it was 8:00.' But then while I’m dancing... it seems like it’s been much longer than maybe it really was." The safest generalization to make about this phenomenon is to say that during the flow experience the sense of time bears little relation to the passage of time as measured by the absolute convention of the clock.
Strategy video games (Civilization series, SimCity, Total War series, Tycoon games) are right on the knife edge of this. I love the process. I love playing the game. Especially total war. I love conquering my neighboring nations and living out historical fantasies. But the next day, I feel awful.