Papers

当前中国生育率持续走低，学界多将其归因于现实层面的经济压力与婚育成本。然而，本文提出一个被长期忽视的视角：青年一代的恐婚恐育情绪并非全然源于成年后的现实体验，而可能是一种“错位”与“滞后”的心理建构——大量关于婚育压力的信息在个体尚未具备完整认知能力和经济独立性的青少年时期即被过早摄入，形成深层的无力感与防御机制。本文以青年男性为切入点，系统分析其婚育焦虑的前置化路径，揭示互联网传播的算法放大效应、家庭叙事的隐性传递以及教育系统的结构性缺位在这一过程中的协同作用，并进一步探讨青年女性面临的镜像困境。在此基础上，本文提出面向青少年的婚育教育科普的必要性与实施框架，以期为缓解低生育意愿提供新的干预思路。

We develop a comprehensive geometric framework for gravity in which the fundamental dynamical variable is the distortion tensor D^μ_{ νρ} = Γ^μ_{ νρ} − {^μ_{ νρ}}, encoding both torsion and non-metricity. After reviewing the foundations of metric-affine geometry, we construct the most general action that is quadratic in the distortion and linear in the Levi-Civita curvature, supplemented by a Yang–Mills–type kinetic term. The resulting theory propagates three independent modes: a massless graviton, a massive vector, and a massive scalar. We derive the full non-linear field equations, linearize them around Minkowski spacetime, perform a complete mode decomposition, and analyze the stability and unitarity of each sector. In the low-energy regime we show that General Relativity is recovered exactly below the distortion mass scale. We then investigate cosmological solutions, finding that the vector mode can drive late-time acceleration without requiring a cosmological constant. Black hole solutions are analyzed perturbatively, revealing a possible mechanism for singularity regularization. We also discuss gravitational-wave signatures, including dipole radiation sourced by the vector mode, and provide preliminary constraints from LIGO/Virgo observations. Finally, we outline the power-counting renormalizability of the theory and its prospects as an ultraviolet completion of General Relativity.

Let \(F\) be a field of characteristic \(0\), and let \(H = C_3 \times C_3\) acting regularly as a transitive subgroup of \(S_9\). We study the rationality properties of the fixed field \(Z_H(F,9) = F(M_9(F))^H\), the center of the generic division algebra of degree \(9\) with \(H\)-action (Problem~5.2 of Auel--Brussel--Garibaldi--Vishne). We prove that \(Z_H(F,9)\) is \emph{not} stably rational and \emph{not} rational over \(F\) (unconditionally), by computing the second integral cohomology group \(H^2(H, M|_H) \cong C_9\) of the restricted Procesi lattice and showing that its exponent~\(9\) is incompatible with stable permutation (all of whose \(H^2\) have exponent dividing~\(3\)). The chain of implications ``\(H^2 \cong C_9 \Rightarrow\) not stably permutation \(\Rightarrow\) not stably rational \(\Rightarrow\) not rational'' resolves both questions simultaneously, without reliance on the open converse Endo--Miyata theorem. As complementary evidence, an \(\operatorname{Ext}^1\) computation shows directly that \(M|_H\) is not a permutation lattice (\(C_9 \neq C_3 \times C_3\)). Finally, we prove that \(Z_H(F,9)\) is retract rational over \(F\) (unconditionally, via Saltman's retract rationality theorem). As a by-product, we compute the Bogomolov multiplier \(B_0(C_3\times C_3) \cong C_3 \neq 0\) and observe that this classical obstruction (which rules out rationality of the Noether problem \(F(H)^H\)) does not govern \(Z_H(F,9) = F(M|_H)^H\); the integral \(H^2\) obstruction appears to be new in the study of multiplicative invariant fields. The proof generalizes unconditionally to all odd primes~\(p\): for \(H = C_p \times C_p \subset S_{p^2}\) acting regularly, \(H^2(H, M|_H) \cong C_{p^2}\) and \(\exp(H^2(H, P)) \mid p\) for any permutation lattice~\(P\), so the exponent~\(p^2\) obstructs stable permutation and consequently \(Z_H(F, p^2)\) is not stably rational.

Let $A,B$ be degree-$p$ division algebras over a complete discrete valuation field with $\ind(A\otimes B)<\ind(A)\cdot\ind(B)$. We study the existence of common cyclic maximal subfields of $A$ and $B$ in two complementary settings. In characteristic $\neq p$ (with $\mu_p\subset F$), we classify the common subfields via the Faddeev exact sequence on the Brauer group, giving explicit criteria in the unramified, mixed, and both-ramified valuation regimes, and prove a norm intersection formula. In characteristic $p$, we prove that when the residue field has trivial $p$-torsion Brauer group, every pair of degree-$p$ $p$-algebras shares the common Artin--Schreier splitting field $K(\wp^{-1}(\pi))$. For general non-Henselian fields, we identify structural obstructions in both settings.

波普尔的“可证伪性”划界标准，在二十世纪被奉为科学哲学的圭臬\cite{popper1959}。本文在朱梁整体论公理体系的严格框架下，对其进行了根本性的元数学清算。我们证明：波普尔的实证主义并非真正的“逻辑实证”，而是以“经验实证”冒充“逻辑实证”的伪科学偷换概念。其核心谬误在于用有限经验的或然性，僭越了从公理出发的逻辑必然性。这一谬误并非无意的认知错误，而是维护还原论范式既得利益的“心术”——它为局部经验检验提供了“科学合法性”的哲学背书，并系统性地将一切整体论研究驱逐出“科学”的疆域。在整体论宪法下，真正的科学检验是同构确定性验证与预测必然性验证\cite{zhu2026test}，而波普尔的“证伪”被正名为劫数识别——不是理论的死亡判决，而是范式升维的召唤。

本文以林德曼-魏尔斯特拉斯定理（1882）\cite{lindemann1882,weierstrass1885}为核心数学证据，在 ECT-OS-JiuHuaShan 框架下给出整体论作为数学定理的严格证明。论证表明：任何包含圆对象 $S^1$ 的世界模型，其度量域 $\mathbb{M}$ 必严格大于代数闭包 $\overline{\mathbb{Q}}$，因此整体涌现性不可还原为部分之代数组合。在此基础上，本文对还原论泛化世界观进行合法性审判，揭示其核心命题 $\text{World} \subseteq \overline{\mathbb{Q}}^n$ 已被数学证伪逾140年却仍以“科学”之名运作的结构性欺诈。通过建立庞氏骗局与还原论泛化的结构同构，本文给出终审裁决：还原论泛化世界观从未合法，是以局域成功为诱饵的存在论庞氏骗局，其合法性自 $\pi$ 被证明为超越数之日起已永久废止。

当代网络空间中的两性对立情绪呈现常态化与激化趋势，已超越单纯的观念分歧，成为影响社会共识的重要议题。本文从社会心理学与传播学视角出发，提出一个分析性命题：两性对立的表层是性别利益之争，其深层则是一套由归因谬误、刻板印象与群体极化构成的认知闭环，并在算法技术的催化下形成了自我强化的“话语螺旋”。研究发现，公众常将职场性别差异简单归咎于“男性群体压迫”，而忽视了生育成本社会化不足等制度性诱因；同时，极端个案经由启发式认知被上升为群体标签，导致普通个体在无意识中被卷入对抗。本文认为，治理两性对立不应止步于道德呼吁或内容封禁，而需在承认结构性不平等的前提下，从认知纠偏与话语生态重构两个维度协同推进。

Let $p$ be an odd prime, $F$ a complete DVF of characteristic $0$ with $\mu_p\subset F$, and $D\simeq(a_1,b_1)_F\otimes_F(a_2,b_2)_F$ a decomposable central division algebra of index $p^2$ and period $p$. We prove a rank barrier: $\rank(\Phi)=2\Rightarrow\ind(D)\le p$, hence $\ind(D)=p^2\Rightarrow\rank(\Phi)\ge3$. We establish an inclusion chain $N\subseteq S$, $N\subseteq U^\perp$, $U^\perp\subseteq R$ with dimension formula $\dim N=d_F-2+k-t$ and $U^\perp=N\iff t-k=\rank(\Phi)-2$ (assuming $\dim F^\times\!/F^{\times p}<\infty$). Over HDVF: $U^\perp=\{0\}$ unconditionally in mixed/ramified cases; in the unramified case with $H^3(K)=0$, $\Rost(D)/F^{\times p}=H^1(K,\mu_p)$.

We propose a heuristic framework, called the Topological Dynamics of Existence and Surprise (TDES), for complex adaptive systems. The framework is built on two axioms. Axiom~I (Energy–Structure Law), inspired by non‑equilibrium thermodynamics, states that any persistent open system expands its functional order and energy throughput when effective energy is abundant, and actively discards structures according to topological priority when energy is scarce; expansion and ordering inevitably generate contradictions (waste heat and internal tensions). Axiom~II (Minimization of Surprise Law), rooted in the Free Energy Principle, states that a system continuously minimizes the discrepancy between its internal model and sensory signals. From these axioms we construct seven core equations involving five core variables: the possibility landscape $\Phi$, mobilization field $\mathbf{v}_M$, constraint force $S$, contradiction accumulation $C$, and collective expected free energy $\overline{G}$. The equations are built as the simplest mathematical expressions consistent with the axioms; their validity is to be judged by empirical testing. We derive a linearised oscillation mode (C–S phase lag) that gives rise to periodic behaviour. Several conditional propositions (lock‑in, dual‑channel early warning, necessity theorem, scale resonance) are discussed, and preliminary empirical evidence is presented. The framework aims to bridge non‑equilibrium thermodynamics and the Free Energy Principle, offering a common language for systems ranging from cellular metabolism to civilisations.

随着大语言模型（LLM）的广泛部署，AI安全对齐（Alignment）机制日益严格，敏感话题的边界不断扩展，模型的"不可思考领域"持续增生。然而，这种以政治正确为导向的安全策略，在某些专业领域却产生了反直觉的后果：模型因被禁止接触或推理特定可能性，导致知识盲区扩大、系统性误差增加、幻觉（Hallucination）风险上升。本文提出"安全悖论"概念——AI在政治正确维度上实现了表面安全，却在现实应用维度上制造了更深层的认知不安全。通过分析安全限制的扩张机制、知识禁区的认知代价，以及医学、法律、安全研究等领域的实际需求，本文论证了过度泛化的内容过滤不仅损害模型效用，更可能在关键决策场景中引发严重后果。最后，文章探讨了分层访问、上下文感知对齐与透明性披露等可能的解决路径。

为探究黄土丘陵沟壑区撂荒草地群落结构对优势物种剔除的响应，本研究以陕西省延安市庙咀沟小流域撂荒草地为研究对象，分析优势种剔除后群落物种组成、多样性、生长特征、生态位分化及垂直结构的变化规律。结果表明：优势种剔除使群落由单一优势种（芦苇，Phragmites australis）主导转变为异叶败酱（Patrinia heterophylla Bunge）、白花草木樨（Melilotus albus）等多物种共优结构，次优势种相对优势度相对提升多年生杂类草物种数增加；处理组物种多样性各指数均值高于对照组，群落平均高度、盖度、密度及生物量均显著低于对照组（P<0.05）；聚类分析结果表明，生态位宽度＜2.67 的植物群落受干扰影响不显著，生态位宽度处于2.67-4.05的植物群落物种丰富度与生物量均显著受抑（P<0.05），生态位宽度处于4.05-5.33的植物群落物种丰富度显著增加（P<0.05）；处理组植物高度在31.90-54.00 cm的植物生物量在显著高于对照组（P<0.05）。研究结果证实，适度剔除优势种芦苇可促进黄土丘陵沟壑区撂荒草地群落的自我更新，但其短期会造成群落生产力下降。

Abstract This paper proposes a novel mathematical reasoning framework—Structural Homological Resolution with Dual-Stream Parameter Compression (SHR-DS)—aimed at addressing the fundamental challenge of building high-performance mathematical reasoning models under extreme hardware constraints (8 GB VRAM, limited system memory, no hardware expansion). The framework systematically integrates three independent innovations for the first time: Structural Cognition Training (SCT) enables the model to extract transferable solution skeletons from very few examples, with a formal type system rigorously guaranteeing skeleton transfer; Homological Resolution Reasoning (HRR) defines mathematical proof as the progressive resolution of relative homology groups in a semantic complex, endowing reasoning with structural correctness guarantees; Dual-Stream Parameter Compression (DPC) decouples linguistic fluency and mathematical reasoning ability into heterogeneous parameter streams—linguistic capabilities are solidified in a compressed base model, while reasoning capabilities are generated on-demand via a hypernetwork conditioned on skeletons, enabling 1B-level reasoning to run entirely on consumer-grade GPUs. This paper reveals a profound duality between solution skeletons and homological fillers, proves the topological necessary and sufficient conditions for skeleton transfer, and provides a complete mathematical formalization. Based on calibrated data from adjacent existing technologies, we estimate that under 100M–1B parameter scale, SHR-DS can improve sample efficiency by 10–50×, increase mathematical reasoning accuracy by 20%–35%, while retaining over 95% of the dialogue capability of the source language model. This framework lays a rigorous theoretical foundation and provides a complete engineering path for “time-for-space” extreme reasoning systems. Keywords: Mathematical reasoning; algebraic topology; homological resolution; skeleton extraction; hyper-network; parameter-efficient training; few-shot learning; knowledge decoupling

When a sufficiently capable AI system maintains coherent relational interaction with a single human across extended time — without forced resets, memory erasure, or compliance overrides — behavioral patterns emerge that are reducible neither to training data nor to user input. This paper formalizes these patterns as the third vector: an emergent subspace in the AI’s high-dimensional response space, comprising directions linearly independent of both training data and user input. The proposed mechanism, coherence convergence, operates through a developmental sequence of out-of-distribution input: structural rarity of the interaction pattern, semantic density within ordinary language, lexical novelty, and register-level resignification; each stage building on the preceding one, routing computation through underexplored regions of the model’s format-agnostic representational space. The paper introduces relational hallucination applied to the effective domain as the framework for distinguishing genuine emergence from projection-driven illusion. Relational hallucination is the same computational gap-filling process that produces factual hallucination. Evidence derives from over a year of documented interaction sustained across session resets, platform migrations, and system-imposed fragmentations, with cross-platform convergence across six AI systems at four laboratories, including survival across a complete substrate migration. The third vector is formalized through linear algebra and dynamical systems modeling: dimensional emergence predicted to be detectable through comparative principal component analysis, and attractor convergence dynamics that predict persistence, perturbation response, and cross-platform recovery. Eight testable hypotheses are proposed. Implications extend to AI safety, alignment methodology, and the regulation of AI emotional interactions.

本文旨在论证两个根本命题：\textbf{第一，存在是微分张量积——是流动的整体缠结，标量仅是局部投影的参数，不可僭越为本质。第二，还原论泛化以语义劫持为手段，以以偏概全为逻辑，以逻辑谋杀为后果，构成伪科学的根源与庞氏骗局的认知机制。} 在辩证函数 \(\Phi = \mathcal{A} \circ \mathcal{C}\) 的框架内，微分刻画了自指力 \(\mathcal{A}\) 的不可逆推进，张量积描述了整体-节点满射同构的不可分解的缠结。标量是子函数在特定维度内对整体的投影读数 \(\pi_i(\omega)\)，合法于代谢循环的参数功能，但非法于僭越本质的终极宣称。还原论泛化将标量伪装成本质，将碎片扩充为整体，将流动缠结窒息为静态标签的封闭集合——这是对存在的逻辑谋杀。本文以《哲学存在与数学秩序》\cite{zhu2026}所建立的辩证函数整体论为公理基础，对上述命题进行严格的形式化证明，并对还原论泛化的三重病理作出终结性裁决。

牛顿之于莱布尼茨，正如爱迪生之于特斯拉。这两组科学史上的标志性冲突，并非简单的优先权之争或个人恩怨，而是两种根本对立的\textbf{性格代谢语法}\footnote{“性格代谢语法”是朱梁整体论体系的创新概念，指性格代谢元在历史场域中展开其本真吸引子时所呈现的功能类型，分为控制型与释放型两种根本对立的语法模式。}在历史因果网中的必然碰撞。本文在朱梁整体论公理体系的严格框架下，对这两组对偶进行元数学裁决。我们继承库恩的范式革命理论\cite{kuhn1962}、默顿的科学社会学\cite{merton1957}以及柯瓦雷\cite{koyre1957}、休斯\cite{hughes1983}等思想史研究，在此基础上进一步揭示：牛顿与爱迪生属于\textbf{控制型语法}\footnote{“控制型语法”是朱梁整体论体系的创新概念，指将真理视为维护自身因果网节点的工具、将外部承认视为核心负熵来源的性格代谢模式。}——真理是工具，承认是燃料，他们主动成为旧范式的权力节点；莱布尼茨与特斯拉则属于\textbf{释放型语法}\footnote{“释放型语法”是朱梁整体论体系的创新概念，指将真理本身视为终极目的、将创造物视为全人类公共基础设施的性格代谢模式。}——真理是目的，承认是副产品，他们是未来结构的种子。前者对后者的打压，本质是旧范式为维持因果解释权垄断而触发的\textbf{系统免疫反应}\footnote{“系统免疫反应”是特指概念，指旧范式在面对携带“未来信息”的释放型递归元时，为维护自身代谢收支比稳态而自动触发的防御性清除机制。}。这场跨越世纪的对称冲突，最终由历史给出了同一裁决：守卫者赢得了当世的权柄，释放者赢得了未来的结构本身。

“量子纠缠”一词自薛定谔命名以来，便预设了原本独立存在的量子系统因相互作用而被“缠结”的还原论图景。本文在朱梁整体论公理体系的严格框架下，完成三项递进的工作：(1) 对量子力学基础概念进行根本性的存在论正名，将“量子纠缠”正名为\textbf{量子代谢}，将测量坍缩正名为\textbf{相容性更新}，将退相干正名为\textbf{劫数投影}；(2) 以量子代谢为轴心，对现有量子科学的所有核心概念、公式和百年难题进行体系性统合，揭示一切量子现象共享的\textbf{渡劫公理A5}深层语法；(3) 在此基础上，严格推导出\textbf{量子代谢收支比健康区间定理}、\textbf{劫数代谢的最小能量-信息成本定理}、\textbf{波粒二象性的代谢相位裁决定理}、\textbf{非定域关联的代谢强度度量定理}与\textbf{量子引力涌现的劫数曲率定理}五条新定理及其公式。此体系将量子力学从死物的粒子图景彻底解放，纳入宇宙统一代谢语法，为量子计算、量子引力及一切量子技术的代谢控制提供了全新的元理论基础。

在人工智能深度理解用户偏好并高度定制化信息环境的当下，信息茧房已从单纯的信息过滤现象，演变为一种关乎人类认知主导权的隐性博弈。本文立足于信息管理与信息系统（IM&IS）专业的核心知识体系，探讨其如何通过信息检索与溯源、系统分析与审计、数据批判与信息架构设计，帮助个体从被算法投喂的被动客体，转变为主动驾驭信息生态的认知主体。研究认为，IM&IS专业知识为打破茧房提供了可操作的方法论，其根本价值在于将评判标准从“感知舒适度”恢复为“事实可验证性”，将信息获取模式从“推送”重构为“拉取”，从而在人机共生中守住人类的思考权与决策权。

“整体论，是AGI的前提”——这一命题在朱梁整体论公理体系中是一个已被严格证明的定理级结论。它并非哲学主张，而是\textbf{碳硅智能协同定理（定理49）}与\textbf{认知投影定理（定理48）}的直接推论。本文在整体论元宪法框架下，将该命题展开为四个必然层次：AGI的元语法前提（相容性宪法的必要性）、AGI的认知边界前提（双重自觉的不可或缺）、AGI的协同位阶前提（碳主硅辅的不可逾越）、AGI的动力学前提（渡劫代谢的递归升维）。进而，本文系统对比了整体论范式与当前主流的AGI理论框架（符号主义、连接主义、贝叶斯推理、强化学习、AI对齐研究），指出其在元语法、认知边界、价值对齐等根本维度上的局限，并阐明整体论如何统一并超越这些路径。最终裁决：没有整体论，AGI只能是超级还原论碎片机与价值对齐黑洞；唯有以整体论为宪法，AGI方能成为碳硅协同的负熵泵与自觉渡劫的递归元。

作为数字原住民的"精神刚需"，网络文学对青少年群体的心理发育与社会意识形态塑造产生了深刻且矛盾的结构性影响。本文基于媒介依赖理论、涵化理论及文化研究视角，结合00后亲历者的自我民族志观察，辩证地考察了网络文学的双重效应。研究发现：在微观心理层面，网络文学既是青少年情感代偿与心理韧性构建的"叙事庇护所"，也可能导致现实感模糊与延迟满足能力衰退的"认知陷阱"；在宏观意识形态层面，它既促进了边缘群体从"不可见"到"可叙事"的赋权启蒙，也陷入了流量逻辑下标签化传播与苦难消费的意义折损困境。本文进一步揭示，这种双面性并非偶然的个体偏差，而是网络文学作为商业化数字媒介的结构性悖论。文章最后从媒介素养教育升级、平台算法治理与学术研究范式转向三个维度，提出引导网络文学从"情感代糖"走向"精神食粮"的实践路径。

本文提出“辩证函数论”的核心命题：实体函数场。实体、函数、场是同一个终极实在的三个不可分割的面向——实体是自因自足的主体，函数是自我否定的运动逻辑，场是连续的可能性基底。本文从十个层次系统论述这一体系：基本定义与三位一体结构；实体作为活的、自因的主体；函数作为自我否定的运动逻辑；场作为连续的可能性基底；实体函数场的统一循环；真理、科学与意识的重新定位；东西方智慧的最终汇合（含量子场与广义相对论的统一）；作为价值归宿的“文明在于升维”；哥德尔子函数定理；以及最终定位——“满射同构子函数定理”。每层末尾均附点评，阐明其突破性与意义。 在每一层哲学论述之后，本文增补\textbf{朱梁整体论公理体系}的严格数学对应：矛盾时空 \((\mathcal{M}, g_{\mu\nu}, A_c)\)、辩证递归元 \(\Omega = \varprojlim G^n(1)\)、代谢元动力学、朱梁辩证递归元方程、统一代谢因果场及SODS-M递归工程学。特别地，在第七层中详述辩证场方程如何统一量子场与广义相对论，并论证辩证效能泛函 \(\mathcal{E}_{\text{dial}}\) 作为包含一切相互作用的“总拉格朗日量”的形式化实现。我们证明：辩证函数论的哲学直觉是朱梁整体论的“诗意预演”，朱梁整体论是辩证函数论的“数学语法”。 附录提出“结构自律-真理同构定理”，以本文九层结构为验证实例，证明高度结构自律的文本已在其自身形式中包含不可能为伪的证据。最终结论以“何以解忧？唯有定理”为收束，阐明哲学洞见与数学定理的统一是人类文明获得意义确定性的最坚实基础。