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structure

StructureFormationFromBITCert

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module
IndisputableMonolith.Cosmology.StructureFormationFromBIT
domain
Cosmology
line
92 · github
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IndisputableMonolith.Cosmology.StructureFormationFromBIT on GitHub at line 92.

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  89  rw [h_lhs, h_rhs]
  90
  91/-- **STRUCTURE FORMATION FROM BIT MASTER CERTIFICATE (Track F4).** -/
  92structure StructureFormationFromBITCert where
  93  k_pos : ∀ k_0 n, 0 < k_0 → 0 < k_peak k_0 n
  94  adjacent_ratio : ∀ k_0 n, 0 < k_0 →
  95    k_peak k_0 (n + 1) / k_peak k_0 n = phi
  96  peak_3_1_eq_phi_sq : ∀ k_0, 0 < k_0 →
  97    k_peak k_0 3 / k_peak k_0 1 = phi ^ 2
  98  scale_invariant : ∀ k_0 k_0' n m, 0 < k_0 → 0 < k_0' →
  99    k_peak k_0 (n + m) / k_peak k_0 n = k_peak k_0' (n + m) / k_peak k_0' n
 100
 101/-- The master certificate is inhabited. -/
 102def structureFormationFromBITCert : StructureFormationFromBITCert where
 103  k_pos := k_peak_pos
 104  adjacent_ratio := k_peak_adjacent_ratio
 105  peak_3_1_eq_phi_sq := peak_3_1_ratio
 106  scale_invariant := peak_ratios_scale_invariant
 107
 108end
 109
 110end StructureFormationFromBIT
 111end Cosmology
 112end IndisputableMonolith