structure
definition
StructureFormationFromBITCert
show as:
view math explainer →
open explainer
Read the cached plain-language explainer.
open lean source
IndisputableMonolith.Cosmology.StructureFormationFromBIT on GitHub at line 92.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
used by
formal source
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