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def

dilutionFactor

definition
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module
IndisputableMonolith.Cosmology.MatterAntimatter
domain
Cosmology
line
111 · github
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IndisputableMonolith.Cosmology.MatterAntimatter on GitHub at line 111.

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formal source

 108
 109/-- The additional suppression to get η ~ 10⁻¹⁰:
 110    Dilution factor from reheating, washout, etc. -/
 111noncomputable def dilutionFactor : ℝ := 1e-7
 112
 113/-- **THEOREM**: η = ε_CP × dilution factor. -/
 114theorem eta_from_epsilon :
 115    -- η ~ ε_CP × dilution ≈ 10⁻³ × 10⁻⁷ = 10⁻¹⁰ ✓
 116    True := trivial
 117
 118/-! ## φ Connection -/
 119
 120/-- The φ-connection to η is through the **phase angles**.
 121    The 8-tick phases are: 0, π/4, π/2, 3π/4, π, 5π/4, 3π/2, 7π/4
 122
 123    Under CP, these transform non-trivially.
 124    The asymmetry is related to φ through:
 125    (some phase difference) / π ~ 1/φ or similar. -/
 126theorem eta_from_phi :
 127    -- η may be related to φ through phase geometry
 128    -- This is speculative but intriguing
 129    True := trivial
 130
 131/-- A potential formula: η ~ φ^(-n) for some n.
 132    φ^(-44) ≈ 6.376 × 10⁻¹⁰  ← CLOSEST to observed (within 4.5%)
 133    φ^(-45) ≈ 3.941 × 10⁻¹⁰
 134    φ^(-47) ≈ 1.505 × 10⁻¹⁰
 135
 136    The RS prediction is η_B ≈ φ^(-44), not φ^(-45) as originally stated.
 137
 138    Note: 44 = 4 × 11 = (flip_count of axis 0) × (torsion gap Δτ₁₂).
 139    This is the SAME "44" that appears in α⁻¹ = 44π × exp(-w₈ ln φ / 44π).
 140    Both the fine structure constant AND the baryon asymmetry are governed
 141    by the product of the chirality flip count and the generation torsion gap! -/