`eruption_recurrence_one_statement`

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module: IndisputableMonolith.Geology.EruptionRecurrenceLadder
domain: Geology
line: 113 · github
papers citing: none yet

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IndisputableMonolith.Geology.EruptionRecurrenceLadder on GitHub at line 113.

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 110/-- **ERUPTION RECURRENCE ONE-STATEMENT.** Adjacent-VEI eruption
 111recurrence ratios cluster at `φ² ∈ (2.59, 2.63)`; cumulative
 112recurrence across `k` VEI steps equals `φ^(2k) = (φ²)^k`. -/
 113theorem eruption_recurrence_one_statement :
 114    (2.59 < vei_step_ratio ∧ vei_step_ratio < 2.63) ∧
 115    (∀ k : ℕ, cumulative_ratio k = vei_step_ratio ^ k) ∧
 116    cumulative_ratio 1 = vei_step_ratio :=
 117  ⟨vei_step_ratio_band, cumulative_ratio_factors, cumulative_ratio_one_step⟩
 118
 119end
 120
 121end EruptionRecurrenceLadder
 122end Geology
 123end IndisputableMonolith

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