星期二, 29 9 月, 2026

SGC-0019

级别复核中:上游命题有变动,本条的级别正在复核。
SGC-0019 定理级 文稿证明

完整 32 态旋机胞(相位+老少耦合)的转移半群可解,群部件为 ℤ₈;S₈ 反例划出可解性边界。

出处 旋机运算体系
证明 paper SGS-ROTOR

上下游

没有已发布的前提或下游命题。

相关更正

  • SGX-012 完整 32 态胞半群可解性未知 → 已解决:可解,群部件=ℤ₈;S₈ 反例划出边界

引用

技能模板
〔定理级〕完整 32 态旋机胞(相位+老少耦合)的转移半群可解,群部件为 ℤ₈;S₈ 反例划出可解性边界。——李旭彤《旋机运算体系》(SGC-0019),问道研究所,2026。
中文
李旭彤:〈SGC-0019〉完整 32 态旋机胞(相位+老少耦合)的转移半群可解,群部件为 ℤ₈;S₈ 反例划出可解性边界〔定理级〕,载《旋机运算体系》,问道研究所,2026。https://reresearch.org/claim/sgc-0019/
English
Li, Xutong (2026). SGC-0019 [Theorem]: The transition semigroup of the full 32-state rotor cell (coupled phase and magnitude) is solvable with group component ℤ₈; an S₈ counterexample marks the boundary. Source: 旋机运算体系. Reasoning Research Institute. https://reresearch.org/en/claim/sgc-0019/
BibTeX
@misc{SGC-0019,
  author = {Li, Xutong},
  title = {{SGC-0019}: The transition semigroup of the full 32-state rotor cell (coupled phase and magnitude) is solvable with group component ℤ₈; an S₈ counterexample marks the boundary.},
  howpublished = {Science of Generation Portal},
  organization = {Reasoning Research Institute},
  year = {2026},
  url = {https://reresearch.org/en/claim/sgc-0019/},
  note = {Epistemic tier: Theorem. Source: 旋机运算体系}
}