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!

If someone has a stroke of brilliance and figures out how to make lossa anti-protons, will it be possible to use the LHC as is or does the design not allow for that?

It’s a good question about why the beams don’t collide all the time in the Tevatron. There are two mechanisms to prevents this:

1) Electrostatic separators - periodically throughout the accelerator, there are charged plates to pull the two beams apart.

2) Beam focus - in the non-colliding sections of the accelerator, the beams are much larger than at the interaction point. Because of the decreased focus, the beams can largely pass straight through each other without many interactions. On both ends of each interaction points, there are sets of quadrupole magnets to focus the beam significantly.

I would encourage you to look up the design of the accelerator complex at Fermilab - It’s very cool. There are many accelerators in the complex which all work in concert to get counter rotating beams of protons and anti-protons into the Tevatron (the anti-proton side of the complex is very interesting - making antimatter is hard). Working in the CDF control room during shot setups (preparing the beam for entry into the Tevatron) was one of the coolest things I’ve done as a grad student, and one of the most informative.