What was already known
Sandier and Serfaty reduced the minimum to periodic approximations without determining its value. Earlier triangular comparisons covered restricted lattice or periodic classes.
AI involvement
OpenAI is the credited author of the internal-model manuscript. Its argument uses earlier human approximation and energy results; no named human completed a check of the new theorem.
AI institutional authorship and collection provenance support AI-led work.
Importance
The theorem identifies the full-plane minimum and the linked spherical energy coefficient.
Limitations
An exact interval certificate checks finite scalar inequalities only; it does not verify the analytic reductions or the full minimum theorem. No complete human or formal proof check was documented.
Technical verification
A source-bound exact interval certificate checks finite scalar inequalities, but its own README says it does not check the manuscript's analytic reductions or energy conclusion. No complete human or Lean check of this exact W(E) theorem is documented.
Formal checking
Exact interval certificate for finite scalar inequalities
- Checker
- Project run-certificate.py and compiled C++ checker
- Scope
- Finite scalar comparisons used in the planar Coulomb energy argument
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
Default: no named human explanation of the finite-torus-to-full-plane argument is documented.
Correction and publication history
If correct, the theorem identifies the full-plane minimum and the linked spherical energy coefficient.
Read this published revision