Reasoning:
- A cosmic-ray proton of E ≥ 1e17 eV on a stationary nucleon reaches the LHC’s 14 TeV CM energy, so whatever states LHC collisions can create, these collisions create too (assuming special relativity, tested at comparable velocities in the laboratory).
- Exposure dwarfs the experiment: ~1e5 LHC-equivalent programmes on Earth alone, ~1e9 on the Sun, ~1e31 across observable stars, ~3e13 per second ongoing. If a dangerous state were produced with any appreciable probability per programme, some visible catastrophe (destroyed planets/stars, anomalous explosions, unexplained black holes) would have occurred; none is observed.
- The one disanalogy — and the pivot on which the whole safety case turns for massive stable products: at the LHC the CM frame is the lab frame, so heavy new particles would be produced nearly at rest and could stop in Earth, whereas cosmic-ray-produced ones are highly boosted and mostly exit small bodies. The argument is therefore complete on its own only for hazards whose danger is velocity-independent (vacuum bubbles; anything self-propagating); for stoppable products (stable black holes, monopoles, strangelets) it must be supplemented by stopping-power arguments (charge stopping in Earth/Sun; even neutral objects stop in white dwarfs / neutron stars; strangelets stop in lunar soil).
Validity verdict (step 6)
Reconstruction: premises = special relativity (a 1e17 eV proton on a fixed nucleon reaches LHC CM energy) and the exposure counts (~1e31 LHC-equivalents universe-wide); conclusion = astronomical-body survival constrains every LHC-triggerable mechanism, explicitly up to the rest-frame loophole. Traced: whatever the LHC can create, these collisions create; absence of any observed catastrophe over the exposure bounds the per-collision danger probability. The load-bearing hidden disanalogy - collider products slow, cosmic-ray products fast - is not hidden here: the statement itself surfaces it and scopes the conclusion accordingly. Valid as scoped.