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The how - simple - they accelerate things with mass near light speed, so a proton will gain tremendous mass - maybe so much that if it collides with another tremendously massive proton - as a point source spacetime will fold into a singularity and that fold will expand to consume the planet.
So think a black hole can be started by something atomically small that is really heavy and dense, then realised that a super accelerated therefore relativistically super heavy proton fits the bill in their minds.
They worry the energies imparted to protons will push them into being seed black holes.
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