U've gotta be kidding, right? You don't understand physics if you believe that - particularly Fluids, Hydraulics and Aerodynamics. The terminal ballistics of a JHP 9mm is far and away superior to .45 ACP ball.
First of all, this is a fairly naiive statement to make. Hopefully, anyone reading the original question would first realize that there is not enough information to answer. "9mm JHP" can mean a lot of things. If we are talking 115 gr. JHP vs. 230 gr. .45, no, the 9mm is not superior. Penetration, the most important aspect of terminal ballistics is less with lighter ammo, and any expansion you get is at the cost of penetration. Last I checked, there were no 230 gr 9mm rounds in handguns. Advantage: .45 ACP. Those are the physics I understand. I don't know what physics you are using.
First of all, modern HPs expand a lot more than half of the time. Read my earlier post. A study documented by the FBI that I read in this forum stated that in 1989, bullets expanded 60-70% time in actual human targets.
I wouldn't be the first to say that 60% is a "lot more" than half the time. In my post, I believe I said, "roughly half the time." Once again, if expansion does occur, it is at the expense of penetration. And that is if it does occur. Which is not a guarantee. And expansion, btw, does not mean, "guaranteed expansion to .50 cal in every case." As they say, a .45 cannot shrink.
The most important part of this was the way the original question was worded. I didn't get into it in a big way, because it seemed self-evident, but the .45 is clearly shortchanged in this scenario, because the 9mm is being put against .45 ball ammo as opposed to, say, 230 gr JHP. Whether it was by design or not, it is like giving your Mom a ten minute head start in a footrace. The 230 gr .45 JHP, upon expanding, would outperform the expanded 9mm when penetration and expansion are both considered.
Any bonus you get by having a 9mm expand makes the diameter of the bullet roughly the same as the .45 ball. But it won't penetrate as deeply. As far as the implied uber-damage that the 9mm JHP causes just by being a 9mm HP, I guess I would have to look at your extensive database that proves this all out.