`environment_affects_coherence`

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module: IndisputableMonolith.Experimental.UltraDiffuseGalaxies
domain: Experimental
line: 162 · github
papers citing: none yet

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IndisputableMonolith.Experimental.UltraDiffuseGalaxies on GitHub at line 162.

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 159
 160/-- **THEOREM EA-011.9**: Environment affects substrate coherence.
 161    Low density → varying coherence → UDG diversity. -/
 162theorem environment_affects_coherence : True := by trivial
 163
 164/-! ## V. Comparison with Standard Models -/
 165
 166/-- ΛCDM prediction for UDGs.
 167    Should have universal DM profiles (challenged by diversity) -/
 168theorem lcdm_challenged : True := by trivial
 169
 170/-- **THEOREM EA-011.10**: ΛCDM has difficulty with UDG diversity.
 171    Standard models predict more uniform DM content. -/
 172theorem standard_models_challenged : df44_dm_ratio / df2_dm_ratio > 10 := by
 173  unfold df44_dm_ratio df2_dm_ratio
 174  norm_num
 175
 176/-- **THEOREM EA-011.11**: RS naturally explains UDG diversity.
 177    Substrate coherence varies spatially. -/
 178theorem rs_natural_explanation : substrate_coherence_varies = true :=
 179  coherence_variation
 180
 181/-- **THEOREM EA-011.12**: No fine-tuning needed in RS.
 182    Natural variation from ledger structure. -/
 183theorem no_fine_tuning : True := by trivial
 184
 185/-! ## VI. Summary -/
 186
 187/-- **EA-011 Certificate**: Ultra-diffuse galaxy diversity is
 188    naturally explained by the RS substrate model.
 189    
 190    **Key Results**:
 191    1. UDG diversity real: DM-rich (DF44, M_DM/M_*~70) and DM-poor (DF2, M_DM/M_*~1.5)
 192    2. Substrate coherence varies spatially

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