summary - CERN’s public FAQ answering “Will CERN generate a black hole?“. Current text states that, per general relativity, the LHC cannot produce an astrophysical-type black hole; it acknowledges speculative extra-dimension theories that would allow microscopic black-hole production, but says the same theories predict immediate disintegration (evaporation), so no accumulation of matter is possible. It repeats the “nature already runs more than 10 million million LHC-like collisions per second” cosmic-ray argument, and cites an independent expert risk assessment endorsed by the American Physical Society, the UK Institute of Physics, and the German Physical Society.
relevance_note - The canonical public “put-to-rest” statement the main question is directly about; a summary artifact, not a primary analysis - snowball past it to LSAG and Blaizot et al.