I would say suppressor (silencer), except you're in CA and I didn't think CA allowed suppressors. That being said, silencers do a much better job than brakes at reducing recoil. The reason is two-fold. #1 The action of a suppressor traps hot gasses, slowing and cooling them and then releasing them in a slower, less-violent manner. This is similar to how brakes work but not completely. Brakes deflect the gasses to the side or even to the rear to negate and/or counteract the recoil from the gasses rapidly exiting the bore. These 2 come out as a wash. The 2nd reason suppressor work better is the added weight. For example, my 30 cal suppressor weight 1 1/2 pounds which is a common weight for a 30 cal suppressor. That 1.5 lb weight on the end of the barrel does wonders at dampening the recoil impulse. The recoil is still there (what is left of it after the baffle slow/cool the gasses) but the added weight slows the impulse into a more manageable felt recoil.
Of course, the part that really makes the 2 stand apart is the sound suppression. Of course, nothing is free, you pay for that sound suppression dearly. Commercial brakes are $100-400, commercial suppressors (neglecting .22 and pistol suppressors) are $500-2000. That's a pretty big price difference. Of course, you can always build your own as well. I built my own 30 cal suppressor for ~$40 in materials...
I remember reading an article about a guy who ported a shotgun barrel on the underside, simply drilled a series of holes, similar to porting that has been used on factory guns over the years, but starting further back from the muzzle. He reported he made the gun quiet enough that you could hear the SHOT hitting waterfowl.
Porting a barrel will in no way, shape, or form reduce the blast heard at the shooter's ear. Porting and brakes ALWAYS increase the sound report at the shooter's ear.
Pretty pointed and pretty far reaching all at the same time. It pretty much says: "we don't care what you did or how you did it. If its quiet, it's a silencer."
18 U.S.C. § 921(a)(24)
(24) The terms “firearm silencer” and “firearm muffler” mean any device for silencing, muffling, or diminishing the report of a portable firearm, including any combination of parts, designed or redesigned, and intended for use in assembling or fabricating a firearm silencer or firearm muffler, and any part intended only for use in such assembly or fabrication.
Chucker found the legal definition. But from past experience, there are things that quiet the report of a firearm that the ATF does not qualify as a suppressor. #1 most common is barrel extensions. 2nd to that are certain "open-framed" muzzle devices that may direct muzzle blast in a different direction so as to reduce the report as heard by the shooter. Obviously there are fake suppressors as well that may reduce the report by a few fractions of a dB but they allow.
Of course, Sig Sauer's new carbine they have out that is meant to compete with the MP5 and MP5SD is an interesting one. The non-silenced version comes with the baffles of the silencers permanently attached to the barrel as a "muzzle brake". If you want to "add" the silencer you just buy the tube that goes over it and have to get that transferred.
In the end, the ATF doesn't follow any set pattern, there are some things one would think to be a definite no-go that is allowed and others that seem logical to be ok but the ATF says no...