Universal Audit of the Underlying Topological Logic of the Periodic Table: A Causal Network Analysis Based on the SRE Protocol

Traditional chemical and materials research relies heavily on wet‑lab observation and quantum‑mechanical simulation, yet lacks a quantitatively audited, engineering‑reusable design tool built on the "discrete causal network" description of atomic structure. Taking the Status‑Relational Entropy Dynamics (SRE) framework as a heuristic working hypothesis rather than a physically proven axiom, this study constructs a molecular‑design pipeline: scaffold generation + Tier‑A self‑consistent audit → VHC topological compensation assessment → GROMACS all‑atom molecular‑dynamics final‑verification. In the Phase‑3 T‑P1a empirical stage, a full closed loop was completed over four benchmark molecules and four generated scaffolds: a bias calibration between micro‑vib pseudo‑MD and GROMACS 10 ns NVT real MD (Appendix C3), a corrected misattribution of Cond_norm blow‑up in the v3.1 protocol (Appendix C4; a 3051‑frame SVD sweep proved the 1e‑12 hard‑floor was never triggered and that amplification originates from the mean_norm^α_n exponential term), and the observation that 2/4 generated scaffolds achieved a modestly lower topology‑stability metric (λ₂) than their parent molecules in real MD (Δλ₂ ≈ −0.008). Based on the tool boundaries and limitations exposed by the empirical stage, this paper further proposes an integrated SRE + AI + MD design architecture: SRE performs ultra‑large‑scale pre‑screening over chemical space; an AI correction surrogate is trained to non‑linearly map micro‑vib fingerprints onto real‑MD metrics (with uncertainty estimates); and GROMACS is retained as a non‑removable final‑verification gate, forming a "pre‑screen → correct → final‑verify → incremental feedback" loop. This work explicitly delimits its deliverable scope: sample scale cannot be extended to a statistically meaningful magnitude under single‑point compute constraints, and ultimate material validation depends on chemical experiments — both lie beyond what an individual can independently complete. The paper is therefore delivered as a combination of a completed small‑scale empirical study and a forward‑looking design blueprint. It neither claims validated novel molecules nor asserts the physical truth of SRE axioms; rather, it offers a reproducible, traceable, and engineering‑feasible methodological path for molecular design. 物质设计(molecular / materials design)的核心矛盾在于:化学空间巨大,而逐分子进行高精度验证的成本极其高昂。传统的两条路径各有短板—— 实验观测:真实可靠,但通量极低、成本高,无法对大规模候选空间穷举; 量子力学模拟(DFT 等):对单个分子精度高,但同样难以覆盖超大候选集合。 在此背景下,学界普遍依赖描述符 + 机器学习做虚拟筛选。然而,这类方法在缺乏可信训练集(尤其是全新化学空间)时,其物理解释力弱、外推能力差,容易产出大量假阳性。 本研究探索第三条路径:以 SRE 框架为核心,将分子的"离散因果网络拓扑结构"作为底层描述,构建一套可解释的、启发式的、大规模初筛工具,再叠加AI 校正与成熟 MD 终审,形成一条完整的设计管线。 需要强调的是本研究的立场预设:SRE 框架在此仅作为启发式工作假设(heuristic working hypothesis)。本文不证明 SRE 公理的客观物理真理性,也不将 SRE 视为已被验证的物理定律;它扮演的角色,是一个自研的、可快速计算的分子描述与筛选工具——类似于一个统计上可能具备筛选信号、但物理机制尚存争议的虚拟筛选描述符集合。

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-06
DOI
https://doi.org/10.5281/zenodo.21856942
Primary Topic
Machine Learning in Materials Science
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article

Universal Audit of the Underlying Topological Logic of the Periodic Table: A Causal Network Analysis Based on the SRE Protocol

Yue Lu
Zenodo (CERN European Organization for Nuclear Research)
Machine Learning in Materials Science
article

Universal Audit of the Underlying Topological Logic of the Periodic Table: A Causal Network Analysis Based on the SRE Protocol

Yue Lu
article en

Abstract

Traditional chemical and materials research relies heavily on wet‑lab observation and quantum‑mechanical simulation, yet lacks a quantitatively audited, engineering‑reusable design tool built on the "discrete causal network" description of atomic structure. Taking the Status‑Relational Entropy Dynamics (SRE) framework as a heuristic working hypothesis rather than a physically proven axiom, this study constructs a molecular‑design pipeline: scaffold generation + Tier‑A self‑consistent audit → VHC topological compensation assessment → GROMACS all‑atom molecular‑dynamics final‑verification. In the Phase‑3 T‑P1a empirical stage, a full closed loop was completed over four benchmark molecules and four generated scaffolds: a bias calibration between micro‑vib pseudo‑MD and GROMACS 10 ns NVT real MD (Appendix C3), a corrected misattribution of Cond_norm blow‑up in the v3.1 protocol (Appendix C4; a 3051‑frame SVD sweep proved the 1e‑12 hard‑floor was never triggered and that amplification originates from the mean_norm^α_n exponential term), and the observation that 2/4 generated scaffolds achieved a modestly lower topology‑stability metric (λ₂) than their parent molecules in real MD (Δλ₂ ≈ −0.008). Based on the tool boundaries and limitations exposed by the empirical stage, this paper further proposes an integrated SRE + AI + MD design architecture: SRE performs ultra‑large‑scale pre‑screening over chemical space; an AI correction surrogate is trained to non‑linearly map micro‑vib fingerprints onto real‑MD metrics (with uncertainty estimates); and GROMACS is retained as a non‑removable final‑verification gate, forming a "pre‑screen → correct → final‑verify → incremental feedback" loop. This work explicitly delimits its deliverable scope: sample scale cannot be extended to a statistically meaningful magnitude under single‑point compute constraints, and ultimate material validation depends on chemical experiments — both lie beyond what an individual can independently complete. The paper is therefore delivered as a combination of a completed small‑scale empirical study and a forward‑looking design blueprint. It neither claims validated novel molecules nor asserts the physical truth of SRE axioms; rather, it offers a reproducible, traceable, and engineering‑feasible methodological path for molecular design. 物质设计(molecular / materials design)的核心矛盾在于:化学空间巨大,而逐分子进行高精度验证的成本极其高昂。传统的两条路径各有短板—— 实验观测:真实可靠,但通量极低、成本高,无法对大规模候选空间穷举; 量子力学模拟(DFT 等):对单个分子精度高,但同样难以覆盖超大候选集合。 在此背景下,学界普遍依赖描述符 + 机器学习做虚拟筛选。然而,这类方法在缺乏可信训练集(尤其是全新化学空间)时,其物理解释力弱、外推能力差,容易产出大量假阳性。 本研究探索第三条路径:以 SRE 框架为核心,将分子的"离散因果网络拓扑结构"作为底层描述,构建一套可解释的、启发式的、大规模初筛工具,再叠加AI 校正与成熟 MD 终审,形成一条完整的设计管线。 需要强调的是本研究的立场预设:SRE 框架在此仅作为启发式工作假设(heuristic working hypothesis)。本文不证明 SRE 公理的客观物理真理性,也不将 SRE 视为已被验证的物理定律;它扮演的角色,是一个自研的、可快速计算的分子描述与筛选工具——类似于一个统计上可能具备筛选信号、但物理机制尚存争议的虚拟筛选描述符集合。

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 34%
Machine Learning in Materials Science
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