Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: Family 271. Bloch's law and spontaneous ferromagnetic order
Family claims › Mathematical physics · lines 1794–1799
OpenAI@2026-10-07#rem:oai-271
Proves Bloch's law with its exact coefficient for three-dimensional quantum Heisenberg ferromagnets at every positive quantum spin, allowing nonnegative symmetric finite-range couplings whose support generates . The thermodynamic limit precedes the zero-field derivative and low-temperature limit. The family also proves spontaneous magnetization for nearest-neighbor models in every dimension and determines the first lattice correction for three-dimensional nearest-neighbor couplings.
The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.
Nearby in this section
- remark: Remark: Family 260. Spacetime Penrose inequalities and rigidity
- remark: Remark: Family 261. Localization and delocalization in the Anderson model
- remark: Remark: Family 262. Sharp one-dimensional Lieb–Thirring inequalities
- remark: Remark: Family 263. The ionization and generalized ionization conjectures
- remark: Remark: Family 264. Strong cosmic censorship near two-ended Kerr data
- remark: Remark: Family 265. The two-dimensional gapped area law
- remark: Remark: Family 266. Exactly three mutually unbiased bases in dimension six
- remark: Remark: Family 267. Positive-temperature Bose–Einstein condensation and quantum depletion