HD = 1080 x 1920 = 2,073,600 pixels
or about 2 megapixels... (Not that many these days)
1 - So does sensor size matter as much for HD... once you have a sensor big enough to hold 2,073,600 pixels?
(Maybe bigger pixels capture more light more quickly so you can shoot with higher ISO's.)
2 - It seems like it would just spread out the pixels...
(Or, are the pixels just larger on a large size sensor?)
3 - But if you make the pixels larger... or spread them out... either way... do you loose resolution?
(I'm guessing resolution has more to do with how close the pixels are to each other... so little of the image is lost "in between" the pixels. (Of course there are many other things that can effect resolution)