im pretty shur your right about the salt.^^
he might just be sleeping. they sleep at the bottm of the bowl.
and no betta fish do not always flot when they die. both of mine died at the bottom of the bowl but they would most likely be on there sides when they die.
dose he move at all to get air? they are librth fish (i think thats how you spell it) witch means they get most of there air from the surface (so dont put an air tight lid on the tank). if not, is the water line close enoughf to the fish that he can just lift his head up and get air?
yay, glad hes not dead! can you post some picts of him when he is more active? (dont worry about taking them now. i dont want to stress the fish to much.)