I find the issue of recoil both interesting and important: interesting, from a physics point of view; important, from a shooting effectiveness point of view. In the latter case, reducing recoil, and in particular the resulting muzzle rise from the recoil force applied to the upper part of the torso, which acts as a class 2 lever, improves the ability to get back on target quickly for follow-up.
There are other issues, of course - satisfaction with the process of shooting, which is diminished by recoil-induced pain, accuracy degradation resulting from recoil-induced flinch, accuracy degradation from body motion variability shot-to-shot, etc. but the physics always help understanding.
Leaving aside the issue of getting back on target quickly, I find that most of my conversations about recoil center about one phenomenon: pain. Flinch-inducing pain, enjoyment-reducing pain, black and blue mark creating pain. The most common ways to reduce that pain are 1) to reduce the recoil force - i.e. velocity - and thereby energy, which varies as the square of that velocity, and 2) to mitigate the impingement of the force on the shoulder.
For the former, either add weight to the rifle (a seldom-mentioned reason for the addition of a scope, but it's there) or add a muzzle brake, which redirects the gas component of the recoil vector sideways and rearward, offsetting the bullet component.
For the latter, add a recoil pad to the rifle, both to increase the duration of the recoil impulse, to reduce the force imparted to the shoulder per unit time, and to increase the surface area over which the force is transmitted by improving the conformance of the buttstock to the shape of the shoulder as the pad deforms under the recoil force.
There's another way to accomplish the latter, as well, and that is to further increase the area across which the recoil force is distributed, reducing the pressure per square inch imparted to the shoulder. As a thought experiment, visualize interposing a plywood plate between your shoulder and the rifle. The perceived recoil would be much less, because the force is distributed over a larger surface area as the rifle decelerates; the mass of the plywood is not the perceived reduction agent - the reduction in the force per unit area is.
I have experimented with interposed recoil diffusers of various types on the shoulder of my shooting vest, with great success - I can shoot a .458 Magnum custom rifle I had built for me about 40 years ago with no flinch, no pain. It is a heavy rifle, to be sure - and Mag-na-ported, Mannlicher stocked, with rollover comb and thick ventilated recoil pad - but the recoil pad coupled with the recoil diffuser I added to the vest back then allowed me to ignore the rifle's recoil completely - since the force is distributed over an area 4 times that of the recoil pad itself - and focus on the sights, target, and trigger.
Behind the leather shoulder patch, on the inside of the vest, I sewed a flexible vinyl floor tile, cut to match the area of my right pectoral, front deltoid, and clavicle end, and wrapped with glued-on soft rubber padding, into a pocket - sewed to the inside of the vest - that was made of tanned buffalo hide. The clavicle area received extra padding. I heated the tile up to make it flexible, and lay with a bag of shot over it to form it to the contours of my chest and shoulder area until it cooled. It is stiff enough to act as a form-fitting, lightweight, padded plate that distributes the recoil imparted by the rifle's recoil pad over its entire surface.
It weighs almost nothing, doesn't get in the way of movement or slinging the rifle, is an integral part of the vest, and works with any of the rifles I shoot. The reduction in perceived recoil is absolutely dramatic - as I said, the .458 is a fun plinker even with 500 grain solids. I have used it with shotgun, .375 H&H Magnum, a lightweight .30-06, etc. and it made shooting, if not like a .22, pretty close - a painless and bruise-less experience. Thought I'd share that result.