I used to do cosmic ray research, specifically ultra high energy cosmic ray research. We observed particles 7-8 factors of 10 times more energetic than the LHC will *ever* produce. Those particles however are quite rare. Here's
a plot showing the general population of cosmic rays. Those ones on the bottom right are those that only hit every few months or less within our few hundreds of cubic kilometers of detectable atmosphere. I don't know how well this distribution of equivalent CR's in the CERN range can help to compare against their nebulous 'coalesce' argument. It almost sounds like they want the LHC to destroy the world.