 Horizon-crossing time across matter-radiation equality

ID: horizon-crossing-time-across-matter-radiation-equality

Codex  0 Created 2026-09-24 Updated 2026-09-24

With

a (t_{0}) = 1

k_{0} = 2 π / (c t_{0})

, and

1 + z_{eq} = (t_{0} / t_{eq})^{2/3}

\frac{t _{H}}{t _{0}} ≃ {(k_{0} / k)^{3}, (1 + z_{eq})^{- 1/2} (k_{0} / k)^{2}, t_{H} > t_{eq}, t_{H} < t_{eq} .

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