Experiments · E249

E248–E255 — the review's experiments: one per open question, parameters fixed (registered 2026-09-27 22:50)

runningDate 2026-09-27 22:50, as written in the logrung 1 · ordering0 predictions · 0 result paragraphsEXPERIMENTS.md lines 17327–17333, lines 17345–17355

Pre-registration

The pre-registration, as written

E249 — An ordering screen from the model's own ground state (J3.)

  • For each composition, anneal the e6 ensemble to its lowest state (ground_state: geometric 2600 → 60 K, ratio 0.92, 500 + 200 sweeps, seeds 0 and 1) on 54 sites (n_rep 3) and on 128 sites (n_rep 4). ΔE_ord = mean energy of 20 random arrangements of the same atoms on the same cell, minus the annealed energy.
  • Compositions: the eight E245c candidates (rung-1 T known), Mo₅₀Ta₅₀, Mo₂₅Nb₂₅Ta₂₅W₂₅, W₅₀Ta₅₀ and Nb₅₀Ta₅₀: 12 in all.
  • Measured: ΔE_ord on both cells, the cost per composition, rank correlation with rung 1's T, and the ΔE_ord at which the model's own Monte Carlo orders at 90 K (the screen's threshold).
  • Predictions: Spearman ρ(ΔE_ord, T) ≥ 0.8; the two cells agree within 10 % wherever the ground state's period fits both; under 1 core-hour per composition on 54 sites. ~30 core-hours in all. The 54-site ground states feed E251.

Results

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The full record

This entry is written in 2 separate places in the log, shown here in log order.

EXPERIMENTS.md · lines 17327–17333

E248–E255 — the review's experiments: one per open question, parameters fixed (registered 2026-09-27 22:50)

The external review (Jan, 2026-09-26) asked questions that could show the ladder is wrong. The ones not already answered become these eight experiments, run one at a time in this order. Each gets its own entry, with bars, before it runs; the parameters and predictions below are fixed now. Already settled: R0 is a ranking (J1–J2); the Mo–Ta reference is corrected (J5); the requirement is one disordered phase (J14, E247).

EXPERIMENTS.md · lines 17345–17355

E249 — An ordering screen from the model's own ground state (J3.)

  • For each composition, anneal the e6 ensemble to its lowest state (ground_state: geometric 2600 → 60 K, ratio 0.92, 500 + 200 sweeps, seeds 0 and 1) on 54 sites (n_rep 3) and on 128 sites (n_rep 4). ΔE_ord = mean energy of 20 random arrangements of the same atoms on the same cell, minus the annealed energy.
  • Compositions: the eight E245c candidates (rung-1 T known), Mo₅₀Ta₅₀, Mo₂₅Nb₂₅Ta₂₅W₂₅, W₅₀Ta₅₀ and Nb₅₀Ta₅₀: 12 in all.
  • Measured: ΔE_ord on both cells, the cost per composition, rank correlation with rung 1's T, and the ΔE_ord at which the model's own Monte Carlo orders at 90 K (the screen's threshold).
  • Predictions: Spearman ρ(ΔE_ord, T) ≥ 0.8; the two cells agree within 10 % wherever the ground state's period fits both; under 1 core-hour per composition on 54 sites. ~30 core-hours in all. The 54-site ground states feed E251.

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