Entropy as Record

The physics-wing entry of the T1.6 empirical corpus asks a deliberately narrow, shape-level question: when standard cosmological entropy components are assembled into a single time-indexed ledger under ΛCDM, does the total grow in the smooth, monotone, parsimoniously structured way a record-accumulation reading expects — or does it require complex multi-kink behavior inconsistent with that reading? The test is locked-source and pre-specified: four primary literature sources fixed in advance with no post-hoc substitution, a fixed Planck18 redshift-to-time transform over z ∈ [0, 6], and two pre-specified models — a single linear trend and a one-break continuous piecewise alternative — with evaluation criteria and smoothness thresholds set before execution.

One construction fact governs interpretation throughout: the assembled total is SMBH-dominated, so the test's shape content is the black-hole growth history mapped through a fixed entropy scaling, and the claim is scoped accordingly. The test could have falsified a parsimonious record reading at the ledger level — via non-monotonicity, multi-kink spikiness, or irreducible model complexity; none of those failure modes occurred. The executed state is reconstructible from SHA-pinned artifacts, with an independent re-fit verification performed at deposit, and an independent ρ_BH(z) new-data variant stated as the designed extension. It joins Rice, COGITATE, and the deployed-AI demonstrations as the fourth substrate wing, operationalizing the record reading developed in Records Across Nature, Life, and Mind.

What this paper does not claim. This is a consistency test of an assembled literature ledger — not a discriminating test against standard cosmology, and not an inference about entropy microphysics.

Keywords: cosmic entropy ledger; records; locked-source; shape test; SMBH.