Physics Ledger · Prediction Cosmology Conjectural 1–5%

Lithium-7 Abundance (Resolved)

Lithium-7 Abundance (Resolved): τ-value 1.6!×!10⁻¹⁰, observed 1.6!×!10⁻¹⁰, deviation ∼ 0%.

Prediction

τ-Formula
S = 1/3 suppression
τ-Value
1.6!×!10⁻¹⁰
Observed
1.6!×!10⁻¹⁰
Deviation
∼ 0%

τ-Formula

⁷Li/H = S × standard BBN, S = 1/3 → 1.6 × 10⁻¹⁰

Derivation

With the suppression factor $S = 1/3$ applied to the $^7Be$ production channel:

^7Li/H(τ) \;=\; S_^7Be × ^7Li/H(SBBN) \;=\; 13 × 5.62 × 10^-10 \;≈\; 1.87 × 10^-10,

in comparison with the Spite plateau observation $^7Li/H_obs = (1.6 ± 0.3) × 10^-10$. The deviation is $+0.9σ$—well within observational uncertainty. Including the standard $∼ 15%$ stellar depletion correction:

^7Li/H(surface) \;=\; 1.87 × 10^-10 × 0.85 \;≈\; 1.59 × 10^-10,

Source

This prediction is derived in the Physics Ledger (Chapter 62 — inflation-cmb-bbn), Books IV–V of Panta Rhei.

Registry

Canonical derivation in Book V.

Metadata

DomainCosmology
Precision Tier1–5%
ScopeConjectural
Registry IDV.T244
Canonical BookBook V