Newton's 3rd law ...
[size=150] For every action, there is an equal and opposite reaction.[/size]
It doesn't matter that it initiates in the barrel, or 'closed' system ... as in truth, it isn't a closed system at all. To put it simply, the projectile could NOT move forward within a resultant force moving backwards. I know why you would reason the way you do, and I am sorry if I can't explain it any better, but know that the recoil moment is initiated upon the start of the ignition process.
BTW, 'felt' recoil and the true recoil forces (re: from interior ballistics) are an entirely different subject. Barrel weight, stock length AND DESIGN, plus your build and stature, etc. are but a few of the factors that bear on one's ability to feel or tolerate recoil.
There are 4 studies of ballistics with projectiles:
* Internal ballistics, the study of the processes originally accelerating the projectile, for example the passage of a bullet through the barrel of a rifle;
* Transition ballistics, (sometimes called intermediate ballistics) the study of the projectile's behavior when it leaves the barrel and the pressure behind the projectile is equalized.
* External ballistics, the study of the passage of the projectile through space or the air; and
* Terminal ballistics, the study of the interaction of a projectile with its target, whether that be flesh (for a hunting bullet), steel (for an anti-tank round), or even furnace slag (for an industrial slag disruptor).