Tuesday, September 29, 2026

SGC-0040

Tier under review: an upstream claim has changed and the tier of this claim is being reviewed.
SGC-0040 Interpretive

The Feigenbaum accumulation point r∞≈3.570 can be read as a dynamical realization of the Axiom-of-Foundation boundary.

Scope 倍周期在 r∞ 内、奇周期 5 在其外为定理级(SGC-0016);「读作边界」为框架解释。 English translation pending
Sources 第十五章 旋机吸引子系统的形式化 · 命题七

Premises and dependents

Upstream, level 1 (premises)

  • SGC-0016 Theorem For the logistic map, all period-2ᵏ orbits appear below the accumulation point r∞≈3.570; period 5 appears only beyond it. logical

Cite

Claim template
〔阐释级〕费根鲍姆累积点 r∞≈3.570 可读作正则公理边界的动力学实现。——李旭彤《生之科学》(第十五章 旋机吸引子系统的形式化·命题七),问道研究所,2026。
Chinese
李旭彤:〈SGC-0040〉费根鲍姆累积点 r∞≈3.570 可读作正则公理边界的动力学实现〔阐释级〕,载《生之科学》第十五章 旋机吸引子系统的形式化·命题七,问道研究所,2026。https://reresearch.org/claim/sgc-0040/
English
Li, Xutong (2026). SGC-0040 [Interpretive]: The Feigenbaum accumulation point r∞≈3.570 can be read as a dynamical realization of the Axiom-of-Foundation boundary. In: Science of Generation, 第十五章 旋机吸引子系统的形式化, 命题七. Reasoning Research Institute. https://reresearch.org/en/claim/sgc-0040/
BibTeX
@misc{SGC-0040,
  author = {Li, Xutong},
  title = {{SGC-0040}: The Feigenbaum accumulation point r∞≈3.570 can be read as a dynamical realization of the Axiom-of-Foundation boundary.},
  howpublished = {Science of Generation Portal},
  organization = {Reasoning Research Institute},
  year = {2026},
  url = {https://reresearch.org/en/claim/sgc-0040/},
  note = {Epistemic tier: Interpretive. Source: 第十五章 旋机吸引子系统的形式化, 命题七}
}