Vacuum Catastrophe 10^{120}
Closely related to the cosmological constant problem, the vacuum catastrophe refers specifically to the mismatch between the observed energy density of the vacuum — inferred from the universe's accelerating expansion — and the value predicted by summing zero-point energies of all quantum fields up to the Planck scale. The observed value is ρ_Λ ≈ 10⁻¹²² in Planck units; the naive quantum calculation gives ρ_vac ≈ 1 in Planck units. The ratio is ~10¹²², often cited as 10¹²⁰ when expressed in more common units. This is the largest fine-tuning problem in physics.
ΛCDM treats this as a boundary condition — it measures Λ but cannot predict it. For the universe to have the observed near-zero cosmological constant, the 'bare' cosmological constant built into spacetime geometry must cancel the enormous quantum vacuum energy to better than one part in 10¹²². This requires a coincidence of almost supernatural precision. Anthropic arguments (we exist in one of many universes where Λ happens to be small) are philosophically unsatisfying and untestable. No mechanism within ΛCDM or the Standard Model of particle physics produces this cancellation naturally.