Phase Transition Window in Metabolic Oncology / 代谢肿瘤学中的相变窗口

Description

The ZFCρ phase-transition window Ω ∈ [2.75, 4.01] is mapped to metabolic biology, where Ω represents the number of functionally coupled independent metabolic pathways per cell. The Warburg effect corresponds to Ω-collapse; ketosis corresponds to bridge replacement (dismantling low-Ω bridges, laying high-Ω bridges). The mapping yields four-phase therapeutic dynamics (sprouting → spectral flip → flip → establishment, asymmetry ratio r ≈ 5) and a metabolic conservation law identifying four cost types of metabolic reconfiguration (signal-coupling dependence, redox saturation, substrate allocation bottleneck, ecological dependence deepening). Six non-trivial predictions with explicit falsification conditions are provided. This paper discusses the structural logic of metabolic pressure redistribution, not a universal anticancer conclusion for ketogenic diets. All numerical coordinates are candidate mappings from ZFCρ, not calibrated biological constants. First application of the SAE framework to biology. Bilingual: Chinese (authoritative) and English (independent rewrite).

Keywords

phase transition, metabolic oncology, Warburg effect, ketogenic diet, metabolic modularity, bridge replacement, conservation law, ZFCρ, Self-as-an-End, SAE, cancer metabolism, immune metabolism, ERGO2, antiparasitic drugs, susceptibility peak, Ω-collapse

Upload type

Publication — Preprint

Publication date

2026-04-09

Language

Multiple languages (Chinese authoritative + English independent rewrite)

License

Creative Commons Attribution 4.0 International (CC BY 4.0)

Related identifiers

• Is supplement to: 10.5281/zenodo.19464506 (SAE Methodology Paper VI, methodological foundation)
• Is supplement to: 10.5281/zenodo.19247859 (ZFCρ Paper 44, phase-transition data source)
• Is supplement to: 10.5281/zenodo.19469013 (ZFCρ Paper 57, spectral crossover data)
• Is supplement to: 10.5281/zenodo.18914682 (ZFCρ foundational framework)
• Is supplement to: 10.5281/zenodo.18528813 (SAE Paper 1, foundational)
• Is part of: SAE Biology Series

Files to upload

1. 代谢肿瘤学中的相变窗口.pdf (Chinese, authoritative)
2. Phase Transition Window in Metabolic Oncology.pdf (English, independent rewrite)

Subjects

Biology, Cancer Metabolism, Metabolic Oncology, Theoretical Biology, Philosophy of Science

Notes

SAE Biology Note 1. First application of the Self-as-an-End (SAE) framework to biology. Boundary statement: this paper discusses structural logic of metabolic pressure redistribution, not clinical treatment recommendations. All Ω coordinates and GKI proxies are candidate mappings, not calibrated constants. Core argument depends on r >> 1, not specific values. Three rounds of multi-AI review (Grok, ChatGPT, Gemini) incorporated.