I think we should be clear, as Doug pointed out, the HP's ride great. No pitching or rocking compared to shorter hulled more expensive boats. I hope that addresses your concerns.

The discussion of the movements of the HP was me checking and learning how they work better. Thanks all, for helping a noob.

|    Obviously the lower the vertical center of effort and the farther aft, the less authority it will have on the bows. 

This needs to be understood in the context of virtually all other boat designs not having the length per dollar of a HP. So the advice applies more to other boats and less to HP's. Bow down is fine, if it does not oscillate, is cheap, light, and fast. Tricks to force it up are fine, as long as they also are cheap, light, and fast.

| Also the farther forward the center of displacement is, and the less the rocker from the pitching axis forward, the less the bows will depress, or so, common sense would seem to dictate.

Agreed. Or, as Rick says, flat is best.

|    It seems that the discussion is concentrating on applying a lifting. force on the bows by planing or a foil forward. 

I think I was learning about a cheap, light, and fast way to see if a bow up optimization could happen. Which, I learned is already done.

Rick explained the shape of light fast hulls. And explained fighting for bow up shapes is not gonna get us much, if anything.

| The same effect could be achieved by a submerged foil aft, which has the advantage that it's downward lifting force will not lift it into the air/water interface, but take it down away from that interface, while the lifting force of a forward foil will take it up into that interface. 

Adding a foil that adds apparent weight (down force) to a light boat to fix a non problem seems a non starter to me. Adding apparent weight (a first order variable) to fix bow down hull (a third order variable) is not helping.

Also, the boat goes both ways, so two foils to fix a non problem?

For non light, fat, live in hulls, the bow up fix is for a problem they don't have. The wave drag is so high they will never see planing while sailing.

However, Robs bleeding edge boat has lifting foils on each lee hull. To go very fast and ride like rails methinks!