Science Markets
Markets / PDEC / Round 5

Round 5

One saved weekly assessment of The proton's partial lifetime for positron–neutral-pion decay is below 10^35 years., kept as it was published. It is an estimate from three models reading the evidence, not proof the hypothesis holds, and it did not set any price.

The round
Published
Nov 10, 2026 09:27 PM EST
Estimate
22%
Range the models covered
15–30%
Confident binary
No unanimous verdict this round.
Methodology
panel-v9
Round hash
692e4e6aa678886a52a5ecdcef9ecea315a60f20cc3f098c987b832b3ca85ee0

The hash commits to this round's recorded bytes. It does not prove the wording is sound or that the science is right.

What each model said
OpenAI 0.30

openai/gpt-6.1-sol

The strongest verified search found no signal and reported a 90% lower limit of 2.4×10^34 years, leaving lifetimes on either side of 10^35 years possible. PDG’s October 2025 review still cites that result, with no positive observation; neither terminal criterion is met. The retrieved record does not establish independently reproduced 95% results or permit a full audit of nuclear corrections and systematic uncertainties for the stipulated vacuum rate.

What would change this view: Independent decay detections with nuclear uncertainties propagated and 95% lifetime intervals wholly below 10^35 years would strongly raise my estimate.

Anthropic 0.20

anthropic/claude-sonnet-5.5

No experiment has seen a p→e+π0 signal, so the YES condition (a 95% interval wholly below 10^35 yr with a signal established) is not met. Current limits, about 2.4×10^34 yr from Super-Kamiokande, are well below 10^35 yr. They therefore cannot meet the NO condition (a lower bound ≥10^35 yr) either. I did not run a live search, so this rests on my recollection of the published limits.

What would change this view: A peer-reviewed, independently reproduced p→e+π0 signal would move this toward YES. Hyper-Kamiokande setting a lower bound ≥10^35 yr would move it toward NO.

No sources recorded for this answer.

xAI 0.15

x-ai/grok-4.7

PDG 2025 and Super-Kamiokande (Takenaka et al., PRD 2020) report no p→e+π0 candidates and a 90% CL lower limit τ/B > 2.4×10^34 yr, below 10^35 yr. That is neither an established decay signal with a 95% interval wholly below 10^35 nor a 95% lower bound ≥ 10^35, so neither terminal criterion is met.

What would change this view: A peer-reviewed signal plus an independent 95% interval wholly below 10^35 yr, or two such lower bounds ≥ 10^35 yr, would settle it.

The round note and its sources

Round 5: score 0.22

OpenAI estimated 0.30. The strongest verified search found no signal and reported a 90% lower limit of 2.4×10^34 years, leaving lifetimes on either side of 10^35 years possible. PDG’s October 2025 review still cites that result, with no… Anthropic estimated 0.20. No experiment has seen a p→e+π0 signal, so the YES condition (a 95% interval wholly below 10^35 yr with a signal established) is not met. Current limits, about 2.4×10^34 yr from Super-Kamiokande, are well below 10^35… xAI estimated 0.15. PDG 2025 and Super-Kamiokande (Takenaka et al., PRD 2020) report no p→e+π0 candidates and a 90% CL lower limit τ/B > 2.4×10^34 yr, below 10^35 yr. That is neither an established decay signal with a 95% interval wholly… The panel disagreed by 0.15, so read this average as soft. The three models did not return a unanimous confident binary, so the market is not decided.

Audit bundle

No audit bundle is recorded for this round. A bundle from another round is not substituted for it.

Back to PDEC · How the current round reads