Looks like they may have produced our old theoretical friend the tachyon. This is a particle which can’t travel at any speed less than that of light (in “particular” it cannot rest). Because of this it would be virtually impossible to build anything out of tachyons (like herding very speedy cats) but they would not be possessed of an infinite kinetic energy.
Could the particle measurements only be accounting for enthalpy with no quantitative measure for increasing entropy?