So with the given metallurgy and thermodynamic data talked about, would it be possible to make a .22 Mag +p++++ to get a 40 gr bullet to say, 2500 fps out of a handgun?
Doesn't need to have fantastical metallurgy or irrational pressure levels.
Pistols exist today which will do 2400+ fps, with larger bullets than a 22cal 40grn.
To avoid flame cutting, I don't load this bullet any more, but I could exceed 2400fps out of a 7.5" Redhawk with the Hornady 110grn XTP with a .357/44.
The .256 win mag also exceeded 2400fps in 8" revolvers.
Jump into bolt action or break action sealed breach specialty pistols and bottleneck cartridges and the world changes. 14-17" barrels can get up 2,700-3,000fps in many cartridges. I have a .284 14" Remington 700 pistol which will push 140 accubonds over 2700fps, an Xp100 in the original 221fb which will also top 2700. A friend has an XP100 in .300wsm which pushes 155's to 2,800fps. I have a 204 Ruger barrel for my Encore pistol, 15" will get me 3,500 fps without even pushing max loads.
So there ARE super speed handguns out there, whether you're hunting a revolver or a specialty bolt or break action.
Too many folks get caught up on the mantra, "if you need more power, go up to a bigger bullet." Suggesting if a .357mag isn't enough for you, get a .44mag... But that does nothing for your trajectory. When I want to kill deer at 250yrds with a revolver, a .44mag is no better suited than a .357mag, as the trajectory is nearly unmanageable for field shooting at 250+. But with a 180grn spire point out of a .357/44, I'm regularly banging steel past 350. The flatter trajectory is a huge advantage. Want more range out of a handgun? I pull out a 7-08 or .284win specialty pistol and can kill deer past 500yrds.
Recognize, however, the reality of shooting a handgun over 100yrds - it really MUST be supported. So at that point, it's really a positional firearm, far divergent from the handy belt guns many folks have entrenched in their mind as the definition of a "handgun." If you can get over that predisposition, you can do amazing things with short barrels.