PLI_Shell_Candidate_Equation_v6.0_Bilingual

Turing patterns and deep valleys in numerical simulations, with pattern scales of order Mpc. The document carefully distinguishes what is derived from A3, what is candidate, what is phenomenological, and what is observational input. Key open problems include the microscopic definition of the intermediate field θ_ij, the physical origin of D_u, and the external input of the Jeans length λ_J. This remains a strong candidate within the candidate layer, not upgraded to a formal structural candidate. 本文档呈现纯锁定推理(PLI)框架的壳层候选方程 v6.0。方程构建为带硬约束 u² + w² = 1 的两场反应扩散系统,该约束来自 A3 假设和维度投影守恒。在引入标准宇宙学金斯长度作为观测输入后,模型在数值模拟中产生稳定的图灵斑图和深谷,斑图尺度落在 Mpc 量级。文档仔细区分了哪些是从 A3 推导的,哪些是候选的,哪些是唯象的,哪些是观测输入。关键开放问题包括中间场 θ_ij 的微观定义、D_u 的物理来源、以及金斯长度 λ_J 的外部输入。本方程保持为候选层内部强候选,不升级为结构层正式候选。

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-10
DOI
https://doi.org/10.5281/zenodo.22692122
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

PLI_Shell_Candidate_Equation_v6.0_Bilingual

Meng Chen
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

PLI_Shell_Candidate_Equation_v6.0_Bilingual

Meng Chen
preprint en

Abstract

Turing patterns and deep valleys in numerical simulations, with pattern scales of order Mpc. The document carefully distinguishes what is derived from A3, what is candidate, what is phenomenological, and what is observational input. Key open problems include the microscopic definition of the intermediate field θ_ij, the physical origin of D_u, and the external input of the Jeans length λ_J. This remains a strong candidate within the candidate layer, not upgraded to a formal structural candidate. 本文档呈现纯锁定推理(PLI)框架的壳层候选方程 v6.0。方程构建为带硬约束 u² + w² = 1 的两场反应扩散系统,该约束来自 A3 假设和维度投影守恒。在引入标准宇宙学金斯长度作为观测输入后,模型在数值模拟中产生稳定的图灵斑图和深谷,斑图尺度落在 Mpc 量级。文档仔细区分了哪些是从 A3 推导的,哪些是候选的,哪些是唯象的,哪些是观测输入。关键开放问题包括中间场 θ_ij 的微观定义、D_u 的物理来源、以及金斯长度 λ_J 的外部输入。本方程保持为候选层内部强候选,不升级为结构层正式候选。

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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