The Era Table

Pass or fail, one line each, against the targets pre-registered in AP46 §12 and the primer §3. Every pass is the standard equation’s pass; what the corpus adds to each line is stated, and inputs and riders are named where they enter.

The first era, a ∝ t^½. PASS — the equation’s radiation-era solution, the thinning count four from §6.

The second era, a ∝ t^⅔. PASS — the equation’s matter-era solution, the thinning count three from §6.

The handover between them at the recorded epoch. PASS — with one input named. The handover falls where the running census and the held census weigh the same. The held census is the corpus’s own, 31.15 per cent at 67.45, Ω_m h² = 0.1417; the running census is the sky’s — photons and the relativistic neutrinos, Ω_r h² = 4.15 × 10⁻⁵ — and the handover is at 1 + z = 3.4 × 10³, the recorded epoch (Planck 2018, z_eq ≈ 3400). The epoch is a ratio, not a count; the corpus has no line for the light census and takes it from the sky as AP46 takes α and mₑ from the table.

The first minutes’ nuclei. PASS — on the standard count, AP08’s. The rate at the temperatures of the first minutes is the equation’s with light dominant; the helium and deuterium yields fix that rate to a few per cent, the bound quoted as the number of light relativistic species.

The relic glow. PASS — on the same count; and the glow is §6’s first thinning seen directly, 3000 K at last scattering, 2.725 K now.

The late inheritance at the recorded onset. PASS — at the corpus’s own partition, in the constant-ε reading, with D48 as its rider. The leak’s term and the hold’s deceleration cancel at z = 0.64, where the room’s growth stops slowing and starts compounding; the leak and the hold weigh the same at z = 0.30; the supernova record places the onset of acceleration near z ≈ 0.6–0.7. AP42 §4.2 quotes the standard crossover as z ≈ 0.38, the same quantity at an older partition, and places its own sourced crossover near 0.9 — AP42’s D48, without which this line’s pass is not to be quoted.

The roof before the nuclei. BOUNDED — not derived. The assembly completes, and the ringing is quiet, before the first second: a storm still ringing at the temperatures of the nuclei would have shifted the yields the fourth line passes on; α is steady at the glow to a few parts in a thousand and in the quasars’ light to about a part in a million. The storm’s length is D-ASM.1.

No target fails. Two lines pass on the thinning counts, one with an input, two on AP08’s count, one with a rider, one is bounded, and every line says which.