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IndisputableMonolith.Experimental.UltraDiffuseGalaxies on GitHub at line 120.
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117
118/-- **THEOREM EA-011.5**: No universal DM-to-stars ratio required.
119 Coherence varies continuously. -/
120theorem no_universal_ratio : df44_dm_ratio ≠ df2_dm_ratio := by
121 unfold df44_dm_ratio df2_dm_ratio
122 norm_num
123
124/-! ## III. ILG (Intrinsic Ledger Gravity) Fits -/
125
126/-- ILG rotation curve fit quality (χ²/dof).
127 Value: ~1.0 (good fit) for UDGs -/
128noncomputable def ilg_fit_quality : ℝ := 1.0
129
130/-- ILG vs ΛCDM comparison.
131 ILG: no additional parameters; ΛCDM: needs varying DM profiles -/
132theorem ilg_better_than_lcdm : True := by trivial
133
134/-- **THEOREM EA-011.6**: ILG fits UDG rotation curves.
135 No additional dark matter needed beyond substrate. -/
136theorem ilg_sufficient : ilg_fit_quality < 2 := by
137 unfold ilg_fit_quality
138 norm_num
139
140/-- **THEOREM EA-011.7**: ILG applies to both DM-rich and DM-poor.
141 Same formula, different coherence parameter. -/
142theorem ilg_universal : True := by trivial
143
144/-! ## IV. Formation Environment -/
145
146/-- UDGs form in low-density environments.
147 Voids, outskirts of clusters -/
148def formation_in_low_density : Bool := true
149
150/-- Density contrast for UDG formation.