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.
Sources 旋机运算体系
Proof paper
SGS-ROTORSGC-0019
Premises and dependents
No published premises or dependents.
Related corrections
- 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
Cite
Claim template
〔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。
Chinese
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}
}