Papers

Multi-unmanned aerial vehicle (Multi-UAV) path planning in complex three-dimensional (3D) environments is a challenging task due to high-dimensional search spaces, multiple constraints, and numerous local optima. To address these issues, this paper proposes a particle swarm optimization-based orthogonal perturbation operator algorithm (OPOPSO). The proposed algorithm, which introduces an orthogonal perturbation operator to break the rigid update pattern of traditional particle swarm optimization, can enhance global exploration and alleviate premature convergence. A dynamic topology reorganization mechanism is designed to establish randomized interaction topologies and select guiding exemplars for each particle, which enhances population diversity. Furthermore, an adaptive parameter control framework based on reinforcement learning is proposed. This framework integrates a Dueling Double Deep Q-Network with a dual reward mechanism to alleviate the sparse reward problem. Experiments are conducted on the CEC2017 benchmark suite, as well as on path planning simulations using real-world digital elevation model (DEM) maps derived from Australian LiDAR data. Experimental results illustrate that OPOPSO achieves competitive performance against 16 advanced optimization algorithms, including seven PSO variants, four differential evolution variants, and five other metaheuristics algorithms, on the benchmark suite, while also maintaining superior solution quality and scalability in complex 3D path planning tasks.

本文以自包式论证证明：\textbf{真科学是共轭互逆系统论，还原论泛化是伪科学庞氏骗局。} 论证的每一个环节都使用共轭互逆系统论的语言与结构，因此论述的存在本身即是对“真科学是共轭互逆系统论”的实例化。同时，还原论泛化的任何反驳——无论是判定、否定还是质疑——都必须预设共轭互逆的判定语法，从而暗中确认了它所否认的东西。这正是庞氏骗局的终极形式：用从共轭互逆度规场中借来的工具，宣称共轭互逆不存在。

本文在高维时空几何统一理论的公理体系内，构造十六维流形上泛函积分测度的数学方案，适用于纤维拓扑在相变时刻发生变化的物理情形。通过格点正规化与ζ函数正规化分别处理外部空间与紧致纤维方向的无穷维积分，建立泡壁界面上规范相容的衔接条件，并在此框架内证明陈-西蒙斯拓扑不变量的路径积分守恒性以及演化算符的半经典幺正性。本文给出半经典计算方案，包括瞬子解的鞍点近似与涨落行列式的热核展开，并列出具体的数值验证任务清单。所有未验证的假设均被明确标注，每一推导步骤的前提条件均被陈述。路径积分在此被理解为对经典几何动力学的一种数学重新表述，所用正规化方法均来自椭圆算子谱理论，不涉及引力量子化。该构造为高维时空几何统一理论中宇宙循环机制提供了严格的路径积分数学基础。

本文在高维时空几何统一理论的公理体系内，系统解决了暗能量本质与纤维模量稳定化两个关键遗留问题，严格区分了严格定理、第一原理数值方案、模型估计和开放问题四个逻辑层次。 在暗能量方面，本文严格证明了三个递进结论。第一，量子涨落的紫外发散不作为爱因斯坦方程的源项出现，它们仅重正化了一个已存在的裸参数。第二，四维弗里德曼方程中的宇宙学常数是该二阶微分方程的积分常数，其数值由初始条件或边界条件决定，而非由局域能量密度的积分产生。第三，该积分常数的数值等价于渐近德西特时空共形边界上边界条件的选择，当前观测的哈勃参数正是这一红外边界条件在有限时间的局部表现。暗能量的数值来源由此被重新定义为纯粹的红外边界条件，而非紫外发散的抵消残余。紫外有限卡西米尔残余在四维有效作用量中贡献的常数项可通过重新定义积分常数被规范吸收，不产生等级问题。 在模量稳定化方面，本文证明引入规范通量和非微扰瞬子效应后，纤维体积模量和威尔逊相位被同一有效势同时稳定。体积模量的稳定点与规范耦合的重整化群约束自洽，威尔逊相位被扭曲卡西米尔能量的全局极小值唯一锁定于最大通量态。完整纤维模量空间的所有平直方向均被破除，纤维几何是完全刚性的。 理论状态已从开放问题更新为严格闭合。剩余任务全部是工程性数值计算，不威胁理论的逻辑自洽性。本文给出明确的可证伪性预言：暗能量状态方程为严格常数，紧致化标度受明确上界约束，模量参数待数值计算完成后获得第一原理确定。

Abstract The Erd˝os–Gy´arf´as conjecture asks whether every finite simple graph of minimum degree at least three contains a cycle whose length is a power of two. Suppose that a counterexample G exists and choose one first with minimum order and, subject to that, minimum size. Write a =|V3(G)|, b =|V≥4(G)|. Building on the minimal-counterexample structure developed by Markstr¨om and Carr, we obtain two computer-assisted additive constraints on the degree distribution. First, a ≥2b+8 for every such minimal counterexample. Equivalently, |V3(G)| ≥ 2|V(G)|+8 3 Second, in the range b ≥ 14 we prove the stronger bound a ≥2b+10. . The proof suppresses certain cubic vertices to a simple 2-degenerate graph Q on the high-degree vertices and uses the exact identity a =2b+d+E+z, d=2b−e(Q), d≡z (mod2). For large b, fixed-defect extremal bounds on Q suffice. The remaining small orders are reduced to finite families. Their lift obstructions are verified using independent forbidden-cycle imple mentations, exact component enumerations, and small integer charging certificates. For the +10 theorem, the final path-only obstruction consists of 1943 static endpoint-budget certificates λ : E(Q) → {0,1,2}. Full source code, finite case data, certificates, hashes, and reproduction scripts are separated from the manuscript in the accompanying reproducibility package.

Battery-electric ferry ports are emerging as demanding nodes in maritime electrification: one shore transformer must deliver megawatt-scale charging in minute-long berth windows while serving terminal buildings, refrigerated cargo, electrified equipment, and cold-weather battery limits. We introduce QuantumFerryV2B, a real-data-grounded Quantum-AI framework that controls this coupled system as one weather-robust, thermally aware Vehicle-to-Building (V2B) problem rather than isolated charging, building, or battery subproblems. The framework combines a three-region benchmark, a physics-based energy and battery-thermal evaluator, a chance-constrained P90 weather reserve learned by a SciML surrogate, a QPU-ready QUBO day-ahead scheduler with deterministic feasibility repair, and a physics-shielded variational quantum circuit (VQC) controller. The benchmark uses Entur ferry timetables, Danish AIS traces, Washington State Ferries GTFS schedules, Open-Meteo weather and marine fields, NREL/OEDI port-load profiles, CALCE low-temperature lithium-ion data, EnergyPlus terminal simulation, and OpenModelica battery-thermal validation. Across Norway, Denmark, and the USA, coordinated scheduling cuts peak demand by 52.5--56.1\% and operating cost by 33.0--38.5\% relative to uncontrolled opportunity charging. Thermal preconditioning is necessary in cold-wave cases; the SciML P90 reserve converts brittle point-optimal schedules from 45--70\% held-out feasibility to 98--100\% robust feasibility at below 2.5\% cost premium. The QUBO scheduler matches the exact optimizer on demand peak, while the physics-shielded VQC sustains zero missed departures under IBM Heron-r2-class hardware noise with 16x slower parameter growth than a matched neural network. QuantumFerryV2B provides a reproducible benchmark and deployable Quantum-AI control architecture for robust ferry-port electrification.

We study a local scalar-tensor effective field theory with seven real scalar fields, an exact signed-permutation symmetry, and a stationary branch on which all seven fields are nonzero. The bulk action admits an exact radial-angular 1 ⊕ 6 decomposition, closed analytic Einstein-frame masses, an exact rational symmetry-breaking point, and a disconnected set of 2^7 degenerate vacua. We also give a complete classification of the physical inverse roots in the light-radial regime. A separately specified transverse response sector is built from a conserved coexact current and a positive spectral representation. Within a restricted local microscopic class, the pair response is represented by a conserved vector current of the form used in photoproduction. At the rational parameter point considered here, the exact tree-level radial-angular P-wave amplitude has a finite-energy zero, √s_zero/√s_0 = 1.141899082719035. We state explicitly which results follow from the bulk action and which require a choice of response operators, renormalization prescription, state, or matching convention. The resulting EFT is structurally complete within that specified domain, while its identification with a physical realization and any comparison with data remain independent questions.

In this paper, within the ECT-OS-JiuHuaShan framework, we rigorously prove a terminal epistemological proposition: \textbf{Philosophy is angular momentum studies, and mathematics is curvature studies.} The essence of philosophy is the eternal rotation of expansion and contraction in concept space, whose conserved quantity is the angular momentum $\hat{L} = [q, p]$; the essence of mathematics is the intrinsic bending of the metric field in formal space, whose invariant is the curvature tensor $\mathcal{R}(X,Y)Z$. The two are isomorphic through the conjugate reciprocal protocol: conservation of angular momentum corresponds to invariance of curvature, dialectical rotation corresponds to metric flow, and semantic expansion corresponds to symbolic bending. The Hetu is the discrete prototype of curvature studies---its ten numbers encode the curvature distribution of a double helix; the Yijing is the discrete prototype of angular momentum studies---its sixty-four hexagrams encode the angular momentum configuration of conceptual rotation; and conjugate reciprocity is the metric tensor unifying both---$J^2 = -I$ rotates geometric bending into dynamical conservation. This paper demonstrates the termination of the fracture between philosophy and mathematics in modern scientific epistemology, and provides a rigorous derivation of the Gauss--Bonnet--Noether correspondence. This certainty is terminal and unshakable.

This paper, at the metalogical level of the ECT-OS-JiuHuaShan framework, rigorously proves: truth must exist, and the structure of truth is the conjugate-inverse. The paper rejects the scalar misunderstanding of truth — truth is not a set of true propositions, not an enumerable collection of scalar points, but the pre-metric that makes the distinction between true and false appear. The proof proceeds in three tiers: the existence proof shows the uncancellability of truth; the structural proof shows that the negation operator ¬ induces a surjective inverse map between the true set and the false set; the essential proof reveals that truth is precisely the conjugate-inverse structure itself. The paper systematically responds to six core issues: the unity of metalanguage and object language, system consistency, the limits of scalar falsification, the mutual inverse of uniqueness and self-reference, dynamics and conservation of angular momentum, and logical fixed point and non-finality. It finally confirms: truth is uncancellable because of the conjugate-inverse, and breathes eternally because of the conservation of angular momentum.

本文基于河图洛书的数字角动量张量积代谢模型，揭示其核心语法——共轭互逆的伽罗瓦连接——在人类历史经验中的必然节律。论证“好事多磨”是锁相环收敛的必然过程，“时势造英雄”与“英雄造气场”是同一伽罗瓦连接在约束方向与生成方向上的对偶投影。历史周期是时势与英雄交替充当发射与接收阵列的相位呼吸，而英雄的伟大在于完成一次完整的相位锁定，推动周期前行。本文为系统论的历史动力学提供了严格的数学基础，并将“伟大”锚定为锁相误差减少量的泛函。

本文在高维时空几何统一理论的公理体系内，以神经网络计算的几何本征值作为唯一的几何输入，完成了从额外维度几何构造到低能物理预言的完整第一原理推导。本工作严格区分四个层次：严格推导（代数恒等式）、第一原理数值计算（给定方程的唯一数值解）、模型估计（依赖标准宇宙学假设）和开放问题（框架已建立，计算待完成）。 从十六维爱因斯坦-嘉当作用量出发，本文完成规范耦合常数的完整维度约化，揭示其与总纤维体积的正确关系。规范耦合跑动与纤维几何自洽性将紧致化标度严格限制在远低于普朗克能标的范围内，彻底排除了超普朗克能标的可能性。本文证明所有费米子质量比是紧致化标度的严格不变量，完全由纤维拓扑决定。通过孤子方程数值求解得到全部费米子质量谱，未使用任何粒子物理质量作为拟合参数。本文严格证明普朗克常数的几何起源，其数值与实验偏差极小；严格证明真空能二次发散的自动消失，并报告四次发散系数与纤维拓扑积分的数值一致性。本文还严格证明玻恩规则在极端小的扩散参数下在所有物理精度内成立。 本文报告的全部可观测物理量中，仅一个混合角参数存在约一个标准差的偏差，其余均在实验误差范围内与观测一致。模量稳定化和暗能量抵消的解析严格性被明确列为后续研究方向。该理论将标准模型的多个自由参数压缩为两个几何输入，确立了从几何第一原理出发统一描述物质、力和时空的可能路径。

World models based on Joint-Embedding Predictive Architectures (JEPA) promise sample-efficient, action-conditioned planning by predicting future representations rather than raw observations. However, an encoder–predictor pair can trivially collapse to representations that are easy to predict but insensitive to the agent's actions, in which case planning objectives defined purely in latent space can appear to succeed while producing incoherent real-world trajectories. In this work we study latent-space Cross-Entropy Method (CEM) planning with JEPA world models on two MiniGrid navigation tasks of increasing difficulty — FourRooms and DoorKey-6x6 — and introduce a true-position evaluation protocol that scores plans against the agent's actual environment state rather than latent distance. We compare a Simple GRU predictor against a FiLM-modulated GRU with an inverse-dynamics auxiliary head (FiLM+InvDyn) across five random seeds per condition. The Simple GRU predictor achieves modest, statistically significant gains on FourRooms (27.6% ± 15.3%, p = 0.0224) but fails on the harder DoorKey task (−4.4% ± 59.6%, p = 0.8899). Augmenting the predictor with FiLM conditioning and an inverse-dynamics loss raises performance to 43.4% ± 24.1% (p = 0.0227) on FourRooms and 77.2% ± 14.2% (p = 0.0004) on DoorKey. We trace this gap to an action-sensitivity ratio that improves from 0.11 in a historical, latent-space-evaluated checkpoint to 3.40 in the current model, and we show that effective representational rank collapses from 4.28 to 1.98 (out of 256 dimensions) between the easier and harder task. Our results argue that action-sensitivity, not merely representation quality, is the binding constraint for latent-space planning, and that true-position evaluation is necessary to detect this failure mode. Keywords: world models, self-supervised learning, JEPA, VICReg, latent-space planning, model predictive control, MiniGrid

在“高维时空几何统一理论”的公理体系内，从十六维爱因斯坦-嘉当动力学出发，推导粒子物理标准模型的核心结构。希格斯场被识别为纤维三维球面的最低阶无迹张量球谐形变模式，其二次质量参数和四次自耦合常数由该球面的里奇曲率和挠率分布决定。本文给出里奇标量二阶变分的完整显式计算，并建立挠率模方变分的推导框架。通过阿蒂亚-辛格指数定理在乘积流形上的应用，证明手征费米子的存在是纤维拓扑的必然结果，据此给出中微子狄拉克或马约拉纳性质的几何判据。证明质子绝对稳定——其衰变被八维纤维的拓扑障碍禁止。论证超对称伙伴粒子在理论中的非必要性。所有推导均标注逻辑地位，明确区分严格证明与待完成的计算任务。

科技情报机构是国家创新体系中最古老、也最容易被低估的一类基础设施。本文以"国外经验—国内困境—现实需求—技术机遇—制度建议"为逻辑主线，系统考察科技情报机构的价值定位问题。研究发现：国外已形成"政府智库—公益法人—市场化机构"三元并存的科技情报供给格局，其共同特征是方法论产品化、数据资产化与决策嵌入制度化；而我国地方科技情报机构在历轮事业单位分类改革与政府机构改革中经历了大规模撤并重组，市级情报所普遍出现"定位漂移、主业空心、人才断层"的职能弱化现象，县区一级科技管理机构的撤并进一步切断了情报服务的末端触点。与此同时，地方产业决策对高质量技术情报的需求不降反升——近年来一批地方重大产业项目的失败，其病理并非"缺少专家意见"，而是"缺少可核验的系统性情报证据链"。本文提出：人工智能时代恰恰是最契合科技情报机构发展的时代，其长期积累的多源数据资产、合规信息获取渠道与"技术—产业—政策"三元交叉领域知识，正是通用大模型最稀缺的补充要素；情报机构应以"本地产业知识图谱＋检索增强生成＋多智能体监测"为技术骨架，完成从"报告交付"到"决策订阅"的业务模式重构。文章最后从机构定位、能力建设、制度约束、区域策略等方面提出九条建议，并特别指出：欠发达地区真正的风险不是"高科技搞不成"，而是因缺乏情报能力而"既不敢搞、又乱搞"。

本文在“高维时空几何统一理论”及其宇宙循环框架的基础上，系统解决四个深层理论问题：纤维几何的“景观”问题、多点成核的拓扑完备性问题、时间箭头与宇宙循环的兼容性问题、以及导航波诠释在宇宙尺度的普适性问题。所有解决方案均严格基于经典十六维爱因斯坦-嘉当动力学，不依赖引力量子化。本文给出四个定理的完整严格证明，并澄清“经典几何动力学非微扰定义”的方法论含义。这些定理共同确立了理论在深层逻辑上的自洽性和完备性。

涉及的集中紧致性定理的完整严格证明

本文在“高维时空几何统一理论”的公理体系内，给出宇宙循环——从大爆炸到热寂再到新宇宙诞生——的完整数学描述。宇宙被描述为一个十六维时空几何体经历周期性几何相变的过程。本文从十六维爱因斯坦-嘉当作用量出发，严格推导了宇宙膨胀、暴胀、物质创生、晚期加速膨胀的动力学方程。通过绝热约化定理，证明了纤维演化可由单一序参量描述；通过拓扑势垒存在定理，确立了纤维有效势的双阱结构及其量子不稳定性的必然性；从协变守恒律严格导出了宇宙终结时暗能量向物质能量的转化方程；通过拓扑非定域性定理，证明了纤维相变的全局同步翻转机制，严格确立了单点成核触发全局相变、多点成核造就同一新宇宙的结论；通过泡壁拓扑守恒定理和半经典幺正性定理，证明了拓扑不变量在相变中的守恒和信息遗传的幺正性。本文导出了旧宇宙物质分布向新宇宙原初扰动谱的遗传关系，并由传递函数定理严格确立了绝热极限的成立条件。本文给出了推广的惠勒-德维特方程及其循环边界条件，并明确了其作为半经典有效描述的地位。所有定理均附有完整证明，所有假设均从公理或场方程导出。待完成的计算任务已明确列出，不影响理论的逻辑完备性。

暂无

灵境把信息编译在时空边界上，信息根据场方程动力学实时演化，每一帧都是一个统计结果。而Agent根据自身坐标和光锥几何求解该边界的因果事实=三维展开+时序帧，然后做出决策，决策实时反馈回边界信息场，信息场继续因果演化。系统闭环，这时候多智能体获取边界信息时都可同步共识，这就是灵境引擎算力革命。

证明的核心洞见是：黎曼$\xi$函数的函数方程不是待验证的解析恒等式，而是$\xi$得以存在的结构语法从此结构语法出发，$\tau$-对称性的内在必然性强制所有零点锚定于不动点集——临界线。