Cluster inventory (step 4b)

  1. HC-1 - Fate of a stable LHC black hole trapped in Earth — If stable TeV-scale black holes were produced at the LHC and trapped in Earth, would they destroy it within the solar lifetime? Members: H-1, H-2, H-6 (residual). Conditional on HC-2 (evaporation fails) and HC-3 (production possible) — see depends_on.
  2. HC-2 - Evaporation of TeV-scale black holes — Does a micro black hole, if formed at the LHC, evaporate near-instantly via Hawking radiation? Members: H-4, H-7 (constructed complement). Exhaustive by construction.
  3. HC-3 - Accessibility of the fundamental gravity scale at LHC energies — Is the fundamental gravity scale low enough (~TeV) for LHC black-hole production at all? Members: H-3, H-8 (constructed complement), H-9 (residual).
  4. HC-4 - Bound on the exogenous terminal-catastrophe rate — Is the exogenous terminal-catastrophe rate bounded below ~1 per Gyr at high confidence? Members: H-5, H-10 (constructed complement). Exhaustive by construction; covers exogenous events only.

Counts: H in 5 / active 10 (5 from step 3 + 2 residual + 3 constructed) / merged 0 / dropped 0 / clusters 4.

generated: 2026-07-20