Frozen predictions and preregistered tests for a dark-energy density that follows the growth of structure (fD model): time-stamped records, part 3

Time-stamped records for the paper Dark energy that follows the growth of structure: replacing the cosmological constant with a parameter-free equation (version 1, DOI 10.5281/zenodo.23721207). The model sets the dark-energy density proportional to fD = dD/d ln a, the growth of structure per e-fold of expansion. The record holds three frozen predictions for coming measurements, each with the note that fixed the method before the computation, the frozen result file and its script: the Hubble constant (H0 = 67.1 ± 0.2 km/s/Mpc for the fD model without early dark energy, ΛCDM 68.0 ± 0.3, from Planck PR4, ACT DR6 lensing, DESI DR2 BAO and supernovae), the growth rate fσ8(z) and the BAO distances at the DESI redshift bins. For fσ8 and BAO the notes register a future test with thresholds of Δχ² = ±9 and state that the expected separating power is far below the threshold, so «undecided» is the expected outcome. The record also holds all preregistrations from 29 October 2026 up to the snapshot of 3 November 2026, 18:20 CET, in German, unchanged except for five short private passages (redacted, with a commitment to the originals), with SHA-256 checksums, in one ZIP archive. They include data tests, the Hubble tension, competitor models, simulations and a search for a mechanism behind the fD law. An English README gives an index with the outcome of each test and a glossary. The times inside the files come from the author's computer; the public time stamp is the publication date of this record. The companion records with the earlier predictions and tests are linked under related works. This work was done mainly in collaboration with the AI system Claude (Anthropic). Claude wrote and ran the code for all computations. Occasionally we also used the OpenAI models GPT-6-Astra and GPT-6.1-Sol to comment on drafts and to suggest checks. The author is responsible for the content.