Baryon asymmetry η_B

Prediction	(2/120) · exp(−17 − 1/φ⁴) = 6.0 × 10⁻¹⁰
Measured	6.1 × 10⁻¹⁰ (Planck)
Residual	~2%
Status	hit
Source paper	DCT-CMB-01

Mechanism

Baryogenesis amplitude (2/120)·exp(−(17 − 1/φ⁴)) where 120 = number of 600-cell vertices and 17 − 1/φ⁴ = m_τ/m_μ tree-level identity. Compact closed form.

Derivation

Baryogenesis amplitude (2/120)·exp(−(17 − 1/φ⁴)) where 120 = number of 600-cell vertices and 17 − 1/φ⁴ = m_τ/m_μ tree-level identity. Compact closed form.

The closed-form prediction is

$$ \text{predicted} = (2/120) · exp(−17 − 1/φ⁴) = 6.0 × 10⁻¹⁰ $$

against the measurement 6.1 × 10⁻¹⁰ (Planck), giving residual ~2%.

Python verification

The verification script for this observable is cmb_analysis.py. Run it with python3 cmb_analysis.py to reproduce the canonical DCT result against the public-archive measurement source listed above (Planck 2018 BBN/CMB.).

References

Planck 2018 VI
Source paper: DCT-CMB-01

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