jeffreyd:With breathing. If he is truly neutral and the only device that can change volume are his lungs, then on every inhale he would ascend a little. This because if there is no trapped air (as inside a BC) no air will expand, per Boyles law, therefore he will not displace more water during ascent, thus leaving him neutral through the entire ascent.
Or of course swimming. But that doesn't require formulas.
Hmm... I would have never thought of that.
In theory this could work. However, this assumes also that the diver in question is not wearing anything in way of exposure protection like a wetsuit or a drysuit. If there is no exposure protection in the equation, the diver would have to be weighted so that he would be negative at the beginning of the dive by the amount of air that would be used during the dive. In the case of an 80 cu ft tank then, approximately 5 lbs negative. Towards the end of the dive, the diver would then be close to neutral at any depth, not just at 20'.
But this would not work well if the diver was wearing a wetsuit or drysuit. If he was neutral at the end of the dive at 20', lung volume would be able to control buoyancy up to a certain point. As the diver ascends from 20', the neoprene wetsuit will expand and at some point there would not be enough air in the lungs to vent to counteract the increased buoyancy of the wetsuit which could potentially result in not being able to hold depth.
As well, in both cases, if the diver is neutral at 20' and wanting to do a stop there, keep in mind that the tank is continuously becoming more buoyant as air is drawn down.