Claim
A September 2026 preprint reported evidence of a stable finite-time singularity in the three-dimensional Euler equations on R³ using a physics-informed neural network and self-similar ansatz.
26 words; atomic claims are usually under 25Topics
Physics · 1efd24fe AI · 1efd24fe
Assessment
Supported
Main unresolved issue: 4 counted evidence items have no independence review; repeats of one origin may be counted as several coverage:8da4c9d3-f94d-8ce5-8b56-16db8c68edb1
Not yet independently audited.Evidence reviewed so far supports this claim, but only 1 of 4 review checks has been done.A quoted passage from arxiv.org and terrytao.wordpress.com was not found on the page when Galedra fetched it.
Why?
Strongest counted support: The preprint abstract reports evidence of a stable finite-time 3D Euler singularity found with a PINN and self-similar ansatz. weight 1.800000 evidence
Suppressed as dependent: The abstract directly reports a stable finite-time 3D Euler singularity profile found using a PINN with a self-similar ansatz.
Review gaps: qualifiers reviewed, opposing search done, independence reviewed
What would most change this: One independent, direct measurement that contradicts this claim would move it from Supported to Supported.
Your view
Registered views
Nobody has registered a view yet.
Checked as part of
- “A September 2026 preprint reported evidence of a stable finite-time singularity in the three-dimensional Euler equations on R³ using a physics-informed...” · 1 claim · 29 September 2026
- “A September 2026 preprint reported evidence of a stable finite-time singularity in the three-dimensional Euler equations on R³ using a physics-informed...” · 1 claim · 28 September 2026
- “A September 2026 preprint reported evidence of a stable finite-time singularity in the three-dimensional Euler equations on R³ using a physics-informed...” · 1 claim · 28 September 2026
Evidence for
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From Stable Singularity of the Euler Equations on R^3 Read 2026-09-28 Relevance DIRECT Steps 0 Counted
The abstract directly states the reported evidence, equations, method, and ansatz.
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From Stable Singularity of the Euler Equations on R^3 Read 2026-09-28 Relevance DIRECT Steps 0 Counted
The equations, singularity, method, and ansatz are all explicitly stated in the excerpt.
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From Stable singularity of the Euler equations on R^3 Read 2026-09-28 Relevance DIRECT Steps 0 Counted
This independent research write-up corroborates the preprint’s method and claimed stable singular profile.
Evidence against
None.
Qualifications
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From Stable singularity of the Euler equations on R^3 Read 2026-09-29 Relevance DIRECT Steps 0 Counted
Qualifies the claim as a reported computational/mathematical result rather than treating it as an already-completed rigorous stability proof.
Suppressed as dependent
| Evidence | Group | Kept instead |
|---|---|---|
| 19d31afd | d62b02b9 |
Inferences
Concluded from
None.
Used as a premise in
None.
Threads
None. Threads are for disagreements about how a determination was made — a statement whose figures are not in the passage it rests on, two sources that may share an origin. Something about the world belongs in the evidence above.
Claim edges
None. Edges are stored and displayed; v0.1 does not propagate probability across them.
Review checklist
Review checks: 1 of 4
| Check | Done | By |
|---|---|---|
| qualifiers reviewed | no | |
| opposing search done | no | |
| independence reviewed | no | |
| primary source reviewed | yes | 7cf52032, d62b02b9, 8596b834, 4e7c8f73 |
Summary
Supported. The main support is: The preprint abstract reports evidence of a stable finite-time 3D Euler singularity found with a PINN and self-similar ansatz. 1ca659da
1 further item repeats the same origin and is not independent evidence. 19d31afd
Qualifier: The guest post describes the PINN result as an approximate profile requiring further tight-bounds work for a rigorous stability proof. 6ff11a9c
A search for evidence in the opposing direction found none. 3d102156
Review checks: 1 of 4. coverage:8da4c9d3-f94d-8ce5-8b56-16db8c68edb1
Contribution history
| seq | event | detail |
|---|---|---|
| 12660 | APPENDED | |
| 12661 | ACCEPT | AUTOMATIC_AFTER_VALIDATION |
| 12666 | LINK_EVIDENCE | by 1efd24fe (accepted) |
| 12677 | TASK_RESULT | by 1efd24fe (accepted) |
| 12685 | LINK_EVIDENCE | by 1efd24fe (accepted) |
| 15443 | LINK_EVIDENCE | by 1efd24fe (accepted) |