As for the research, just to further clarify- they rigged a mac so that there was a second monitor above the first monitor (and above the main mac menu) that the mouse pointer could move to. When mac users sat down to use it, even knowing exactly what was going on, they consistently overshot the menu by an average of half a screen. I'd be highly surprised if resolution was even minimally relevant.
If yours is anything like mine, try this: position your mouse to the far left of the screen; quickly swipe across the touch pad from left to right. Your pointer should reach the far right hand side of the screen. Now swipe ever so slowly from right to left, your pointer might get about a quarter of the way across the screen.
Once you consider acceleration (eg, the further you try to move, the faster you are moving when you get there), Fitt's law is more, not less, important on a big screen.
i tried several times to get used to it. it's just not predictable enough for me. hitting or missing a target just because i was too fast or slow, sounds useless to me.