ngc1052df2_dm_poor

formal source

  93
  94/-- **THEOREM EA-011.3**: NGC 1052-DF2 is DM-poor.
  95    M_DM/M_stars ~ 1.5 ≈ 1. -/
  96theorem ngc1052df2_dm_poor : df2_dm_ratio < 3 := by
  97  unfold df2_dm_ratio
  98  norm_num
  99
 100/-! ## II. RS Substrate Model -/
 101
 102/-- Recognition coherence varies spatially.
 103    C(x) = C_0 × f(φ, environment) -/
 104def substrate_coherence_varies : Bool := true
 105
 106/-- High coherence region: DM-rich.
 107    C_high → strong substrate coupling -/
 108def high_coherence_dm_rich : Bool := true
 109
 110/-- Low coherence region: DM-poor.
 111    C_low → weak substrate coupling -/
 112def low_coherence_dm_poor : Bool := true
 113
 114/-- **THEOREM EA-011.4**: Substrate coherence varies spatially.
 115    Natural in RS ledger structure. -/
 116theorem coherence_variation : substrate_coherence_varies = true := rfl
 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).