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The crucial property of particle colliders is their ability to convert (e.g.electrical) energy into the mass of heavy particles. We have become used to theextremely low efficiency of this conversion and the severe limitations on themass scale of heavy particles which can be reached. In view of this situation,it appears reasonable to ask whether a perfect conversion machine of this type(a perfect `collider') exists even in principle and whether there is a highestmass scale which can be reached by such a machine. It turns out that, with anumber of assumptions, such a machine is conceivable in a world with astrongly-coupled, approximately scale invariant 4d field theory with 5d gravitydual. This machine can be realized as a 5d tower built on the IR brane (inRandall-Sundrum model language). Transporting mass to the tip of this tower is,under certain conditions, equivalent to producing heavy point-like 4dparticles. Hence, this can be thought of as a perfect `collider'. In thesimple, `pure Randall-Sundrum setting' that we analyse, this machine can onlyreach a certain maximal energy scale, which falls as the gravity-dual of the 4dQFT approaches the strong coupling domain. On these grounds, one might expectthat a no-go theorem (in the spirit of that of Carnot for the conversion ofheat into work) exists for weakly-coupled QFTs. We end with some speculationsabout collider efficiencies at weak coupling, involving possibly the concept ofentanglement entropy.

AdS/CFT for Accelerator Physics or Building the Tower of Babel