Due to the differential nature of transversal matter waves, the gravitational pull can interact with ordinary flat space time only in a restricted range of frequencies.

I would doubt that someone will come up with a better way to make anti-protons. The current way is to shoot protons as a spinning metal target and to sift through the spray on the other side. Some small fraction of that spray will be anti-protons, so it’s just a matter of keeping those and putting them into a storage ring. The energy of the incoming beam is tuned to maximize the yield of anti-protons. There are not convenient caches of anti-protons laying around, so you’ll always have to do something like this.

The LHC magnets have a novel design – instead of having one beam pipe down the middle of the magnet, the magnets have two separate beam pipes in the, and the windings of the magnet are such that the magnetic field points in opposite directions for each beam pipe. With all of the effort put in to designing magnets that could contain counter-rotating proton beams, it would be a waste to use anti-protons. Anyway, you’ll always be able to make protons easier than anti-protons – protons only need hydrogen gas and some manner of ionizing system. Anti-protons always start off with protons, so you’ll never reach parity, even if you increase the yield. Finally, storing and cooling (reducing the momentum spread transverse to the beam) anti-protons is difficult.

Get well soon, LHC. I want to see that Higgs Boson!