Okay, tell me more, please. You appear to be referring to a way to use the 3ph to apply down force. I'm clueless. And if you're saying a 2 man job to dig a post hole, well, that's a non-starter for me. Thanks!
OK.... your tractor most likely does not have a device / is not capable of applying down force to your 3pt implements.
So think of a cork screw going into a cork (or sandy soil) when it starts to twist it grabs and pulls it self down. Soil is soft and screw force pulls it down into the cork or ground.
Now think of a screw gun trying to screw into hardwood (or in your case clay) you need to apply down force (ie: push down)
So your little tractor w/o down force ON CLAY means your auger bit will likely spin, not bite into the ground, and therefore not dig a hole UNLESS you can help it bite and shave the clay by applying down force. You could add a hydraulic down force kit to your tractor but will guess you may find this expensive and/or confusing after you make the research.... or you get a long pole attached to your post hole auger usually out the back which you can either put weights on it like those used in gyms or get someone else to pull on the post down exerting down ward pressure on the auger so it cuts/bites into you clay.
So down force to get auger to bite into hard ground just like having to push down on ice augers when ice fishing or drills when drilling into steel or hard woods. If ground soft this is not a concern but as you mentioned clay you should consider.
cheers