The more recent paper does not mention the LHC, but the mechanism it describes still seems relevant (correct me if I am wrong, anyone.)
As this paper says:
Spacetime singularities belong naturally to the realm of quantum gravity. We believe that only a complete quantum gravity theory will be able to describe naked singularities properly, dissecting them conclusively or even restoring the WCCC in a more fundamental level.So: no one knows exactly what a naked singularity would be like, yet (according to some) they may be created in the LHC. (There's a short note on a CERN publication about naked singularities.)
OK, the argument against worrying about them will be the same as that for mini black holes: the earth and all astronomical bodies are constantly bombarded by higher energy particles, and if that hasn't created a naked singularity danger, then nor will the LHC.
And the reason for questioning this might be same as the argument regarding mini black holes: namely, cosmic naked singularities would presumably shoot off at near relativistic speeds , whereas those at the LHC would sometimes have low speed. Maybe ones that hang around a something more to worry about? Also, I am a little curious about what would happen if two of them meet, as would seem more of a possibility in the LHC than in nature.
Meanwhile, we sit around twiddling our thumbs while CERN takes its sweet time to publish the delayed safety paper.
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