`df2_dm_ratio`

definition

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module: IndisputableMonolith.Experimental.UltraDiffuseGalaxies
domain: Experimental
line: 72 · github
papers citing: none yet

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IndisputableMonolith.Experimental.UltraDiffuseGalaxies on GitHub at line 72.

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formal source

  69
  70/-- NGC 1052-DF2 DM-to-stars ratio.
  71    Value: ~1-2 (possibly no DM) -/
  72noncomputable def df2_dm_ratio : ℝ := 1.5
  73
  74/-- Typical UDG surface brightness (mag/arcsec²).
  75    Value: μ_V > 24 -/
  76noncomputable def udg_surface_brightness : ℝ := 25.0
  77
  78/-- UDG effective radius (kpc).
  79    Value: r_e ~ 1-10 kpc -/
  80noncomputable def udg_size : ℝ := 5.0
  81
  82/-- **THEOREM EA-011.1**: UDG diversity is real.
  83    Both DM-rich and DM-poor examples exist. -/
  84theorem udg_diversity_real : df44_dm_ratio > 10 ∧ df2_dm_ratio < 5 := by
  85  unfold df44_dm_ratio df2_dm_ratio
  86  constructor <;> norm_num
  87
  88/-- **THEOREM EA-011.2**: Dragonfly 44 is DM-rich.
  89    M_DM/M_stars ~ 70 >> 1. -/
  90theorem dragonfly44_dm_rich : df44_dm_ratio > 50 := by
  91  unfold df44_dm_ratio
  92  norm_num
  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.

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