Here's hint: notice the style of the writing. This reads more like somebody trying to sell you a new car with a fancy new transmission technology than it does a serious science discovery.
That alone pegs my bullshit detector.
Additionally, as you've already pointed out, particle accelerators routinely accelerate particles well past 0.577c, so this effect should have already been seen in the lab for years if it were true.
And lastly, didn't "Physicist" post something a while back that basically showed that if you could "counter" the effect of gravity, then in principle you can build a perpetual motion machine to do useful work for free, which is to say it violates energy conservation.
But that's just my layman's take; I'll way for the big guns to weigh in on this.
It's a press release, and apparently it's from Felber himself. I hope he's not jumping the gun and doing a "cold fusion" act. We shall see.
Also, when particles are made to collide, they're definitely moving faster than the "Felber point," so if they were each putting out an anti-gravity beam, the results of their collision would be way different than what's predicted -- and routinely observed. Or ... maybe this accounts for what's observed, but in a totally different way. I can't handle that speculation.
This makes a lot more sense when you wash it down with a very fine single malt scotch and it justs gets better as the keybord loose's focus.