Structural Foundation and Geometry of the Material Singularity (and Its Quantum Entanglement)

In this paper we develop and study, as the second part of one more general development, the energy transmutation equation for the material singularity, previously obtained through the symmetrisation of a wave packet, that is, we develop the correlation between the terms of this equation, which accounts for the formation of matter from a previous vibrational state, and the different possible energy species. These energetic species are ascribed, in a simplified form, to the equation E¯ω=E¯k+E¯f, which allows us, through its associated phase factor, to gain an insight into the wave character of the kinetic energy and thus to attain the basis of the matter-wave, and all sorts of related phenomenologies, including that concerning quantum entanglement. The formation of the matter was previously identified as an energetic process, analogous to the kinetic one, in which finally the inertial mass is consolidated as a mass in a different phase, now, in addition, the mass of the material singularity is identified as a volumetric density of waves of toroidal geometry created in the process of singularisation or energy transfer between species, which makes it possible to establish the real relation or correspondence between the corpuscular and photonic energy equation (E=mc2=hν), i.e. to explain through m the intimate sense of the first equivalence, which explains what νis in the second one.

On the Vacuum Hydrodynamics of Moving Bodies—The Theory of General Singularity

The Theory of General Singularity is presented, unifying quantum field theory, general relativity, and the standard model. This theory posits phonons as fundamental excitations in a quantum vacuum, modeled as a Bose-Einstein condensate. Through key equations, the role of phonons as intermediaries between matter, energy, and spacetime geometry is demonstrated. The theory expands Einsteins field equations to differentiate between visible and dark matter, and revises the standard model by incorporating phonons. It addresses dark matter, dark energy, gravity, and phase transitions, while making testable predictions. The theory proposes that singularities, the essence of particles and black holes, are quantum entities ubiquitous in nature, constituting the very essence of elementary particles, seen as micro black holes or quantum fractal structures of spacetime. As the theory is refined with increasing mathematical rigor, it builds upon the foundation of initial physical intuition, connecting the spacetime continuum of general relativity with the hydrodynamics of the quantum vacuum. Inspired by the insights of Tesla and Majorana, who believed that physical intuition justifies the infringement of mathematical rigor in the early stages of theory development, this work aims to advance the understanding of the fundamental laws of the universe and the perception of reality.

New Raw Materials Ignite the Singularity of Cosmetic Innovation

As traced by the Big Bang theory,the starting point of the universe,is called the“Singularity”in Da Ci Hai,an unabridged,comprehensive dictionary.According to cosmological reasoning,the singularity has an infinite density of matter,an infinite curvature of space and time,and it is invisible and infinite.These characteristics are analogous to the human imagination at the level of innovation.For the innovation of cosmetic raw materials,there is also the possibility of infinite evolution.For example,in recent years,the scientific research in cosmetic industry the for promoting upgrade in raw materials is quite proactive.From the raw material enterprises,down to the brand company,the investment in raw material innovation is also strengthened at a visible rate.

基于Singularity的超算资源容器化

深度学习往往伴随着大量的计算,属于典型的高性能计算(HPC)应用。基于Python的深度学习中往往使用PyTorch或者TensorFlow库,环境的配置与管理极为复杂,可重复性低,导致代码的升级、管理、测试、迁移成为大难题。为此,诞生了容器化技术。容器化技术以Docker为代表,通过在迁移代码的同时迁移代码运行环境,从而避免了代码在移植的时候存在繁杂的环境配置过程。但是超算服务器与普通的服务器又有很大的差别,如开发人员无root权限,测试代码时需要进行资源管理(内存,CPU)。这些问题都让Docker技术在HPC环境的应用受限,针对以上问题,使用Singularity代替Docker,在神威蓝光II型超级计算机上尝试生成了Python3.7+Numpy+Pandas+Scipy数据科学计算环境的Singularity镜像文件,在阿里云服务器上无root权限创建容器并成功运行了距离判别Python计算程序。结果表明,使用Singularity可以解决Docker在服务器上面的root权限问题,有助于深度学习环境在不同HPC服务器上面的部署。

Local singularity and S–A methods for analyzing ore-producing anomalies in the Jianbiannongchang area of Heilongjiang,China

The Heilongjiang Jianbiannongchang area is located at the confluence of the Great and Lesser Xing’an Ranges.This area has a complex magmatic and tectonic evolutionary history that has resulted in a complex and diverse geological background for mineralization.In this study,isometric logarithmic ratio(ILR)transformations of Au,Cu,Pb,Zn,and Sb contents were performed in the1:50,000 soil geochemical data of the Jianbiannongchang area.Robust principal component analysis(RPCA)was conducted based on ILR transformation.The local singularity and spectrum-area(S-A)methods were used to extract information on mineralogic anomalies.The results showed that:(1)the transformed data eliminated the influence of the original data closure effect,and the PC1and PC2 information obtained by applying RPCA reflected ore-producing element anomalies dominated by Au and Cu.(2)The local singularity method can enhance the information of the local strong and weak slow anomalies.After performing local singularity analysis on PC1 and PC2,the obtained local anomalies reflected the local singularity spatial anomaly patterns related to Cu and Au mineralization in this area,which is an effective method for trapping ore-producing anomalies.(3)Furthermore,the composite anomaly decomposition of PC1 and PC2 was performed using the S-A method,and the screened anomalous and background fields reflect the ore-producing anomalies related to Cu and Au mineralization.This information is in agreement with known Cu and Au mineralization.(4)The geochemical anomalies with mineralization potential were obtained outside the known mineralization sites by integrating the information of oreproducing anomalies extracted by the local singularity and S-A methods,providing the theoretical basis and exploration direction for future exploration in the study area.

Discrete vortex bound states with a van Hove singularity in the vicinity of the Fermi level

A theoretical study on discrete vortex bound states is carried out near a vortex core in the presence of a van Hove singularity(VHS) near the Fermi level by solving Bogoliubov–de Gennes(Bd G) equations. When the VHS lies exactly at the Fermi level and also at the middle of the band, a zero-energy state and other higher-energy states whose energy ratios follow integer numbers emerge. These discrete vortex bound state peaks undergo a splitting behavior when the VHS or Fermi level moves away from the middle of the band. Such splitting behavior will eventually lead to a new arrangement of quantized vortex core states whose energy ratios follow half-odd-integer numbers.

Self-Awareness,a Singularity of AI

Self-awareness,or self-consciousness,refers to reflective recognition of the existence of“subjective-self”.Every person has a subjective-self from which the person observes and interacts with the world.In this article,we argue that self-consciousness is an enigmatic phenomenon unique in human intelligence.Unlike many other intelligent and conscious capabilities,self-consciousness is not possible to be achieved in electronic computers and robots.Self-consciousness is an odd-point of human intelligence and a singularity of artificial intelligence(AI).Man-made intelligence through software is not capable of self-consciousness;therefore,robots will never become a newly created species.Because of the lack of self-awareness,AI software,such as Watson,Alpha-zero,ChatGPT,and PaLM,will remain a tool of humans and will not dominate the human society no matter how smart it is.This singularity of AI makes us re-think humbly what the future AI is like,what kind of robots we are going to deal with,and the blessing and threat of AI on humanity.

Singularity Formation forthe General Poiseuille Flow of Nematic Liquid Crystals

We consider the Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model.The model is described by a coupled system consisting of a heat equation and a quasilinear wave equation.In this paper,we will construct an example with a finite time cusp singularity due to the quasilinearity of the wave equation,extended from an earlier resultonaspecial case.

Singularity of Two Kinds of Quadcyclic Peacock Graphs

Let G be a graph. G is singular if and only if the adjacency matrix of graph G is singular. The adjacency matrix of graph G is singular if and only if there is at least one zero eigenvalue. The study of the singularity of graphs is of great significance for better characterizing the properties of graphs. The following definitions are given. There are 4 paths, the starting points of the four paths are bonded into one point, and the ending point of each path is bonded to a cycle respectively, so this graph is called a kind of quadcyclic peacock graph. And in this kind of quadcyclic peacock graph assuming the number of points on the four cycles is a1, a2, a3, a4, and the number of points on the four paths is s1, s2, s3, s4, respectively. This type of graph is denoted by γ (a1, a2, a3, a4, s1, s2, s3, s4), called γ graph. And let γ (a1, a2, a3, a4, 1, 1, 1, 1) = δ (a1, a2, a3, a4), this type four cycles peacock graph called δ graph. In this paper, we give the necessary and sufficient conditions for the singularity of γ graph and δ graph.

The Urban Singularity-Envisioning the Future of Cities

This paper is a hypothetical exploration of the connections between teleological evolution,the Omega Singularity,and the future of cities,weaving together insights from a diverse array of disciplines.Our investigation delves into the possibility that cities are evolving towards a Singularity,a state characterized by infinite knowledge,intelligence,and adaptability,which would bring about a radical transformation of urban environments and their underlying dynamics in the 21st century and beyond.At the heart of this exploration lies the role of language and time as crucial dimensions of the Urban Singularity.Moreover,we examine how linguistic developments and cross-cultural exchanges can foster more inclusive,adaptable,and resilient urban environments,while also highlighting the need for advanced technologies and communication modalities that can support the dynamic needs of future cities.Furthermore,the paper investigates the profound implications and transformative potential of merging human consciousness with the urban Singularity.By examining the interplay between these concepts,we seek for a deeper understanding of the potential trajectories and implications of these concepts for the transformation of human society and our relationship with the built environment.

Homo Faber Scapegoated, or Apocalyptic Artificial Intelligence: Rethinking the Technological Singularity Concept From the Synergetic Historicism Position

The article is focused on discussing a new methodological approach to the study on specifics of transferring human beings to the posthuman cyber society.The approach in question assists in rethinking interconnected problems both of human origins in the universe and mankind’s digital future.And,besides,such an approach allows to deal with self-organising interconversions between the poles of the cardinal dual opposition of the Global Noosphere Brain and the Artificial General Intelligence.Herewith such phenomena of digital social life as Global Digitalisation,Digital Immortality,Mindcloning,and Technological Zombification being the constituents of Technological Singularity Concept,are rethought as paving the way for oncoming Posthuman Digital Era.This concept is evidently exemplified by a bifurcation resulting in two alternatives to be chosen by human beings,to wit,either to be undergone Mindcloning and become digitally immortal or being destroyed by powerful intelligent machines.The investigation in question is based on such a progressive methodology as the Law of Self-Organizing Ideals,as well as on the Method of Dual Oppositions.Rethinking interrelationships between the problem of a sense of social history and the meaning-of-life of local societies members which any intelligent machine is devoid of permits to substantiate specific regularities of Self-Transforming Homo Faber into Homo Digitalis and Technological Zombies ready to be transferred to posthuman cyberspace.

广义θ-图和广义梅花图φ的奇异性

利用奇异图的邻接矩阵行列式等于零的方法讨论广义θ-图和广义梅花图φ的奇异性,分别给出广义θ-图θ(a_(1),a_(2),…,a_(k))和广义梅花图φ(a_(1),a_(2),…,a_(k))是奇异图的充分必要条件,并计算这两类图中奇异图发生的概率值.

运动解耦且大工作空间三平移机构拓扑设计

根据基于方位特征(POC)方程的并联机构拓扑设计方法和运动解耦设计原理,提出一个运动解耦性优异的单回路三平移子并联机构;设计一类4个具有正向位置符号化、部分运动解耦性且具有较大工作空间的三平移(3T)并联机构;对这类机构进行拓扑特性分析,得到相同的方位特征集(POC)、自由度(DOF)、耦合度(κ)、运动解耦性等主要拓扑特性;对其中一个机构进行运动学、动力学性能分析。根据基于拓扑特征运动学建模原理,求出其符号化位置正反解,以及速度、加速度曲线;基于推导出的位置逆解公式,分析机构的奇异位形及工作空间;根据基于序单开链的虚功原理,进行其动力学建模与分析,求解出机构的驱动力。

三维有限元中奇异点源的简化分析方法

减压井是渗流控制的重要手段,减压浅井井底的入渗量不可忽略。在渗流场有限元有关井的计算中,含水层与井半径有巨大尺寸差异,只有将井周围的网格尺寸限制在厘米级或更少,才能达到合理的精度,但效率过低。为提高效率,分析时通常将井底简化为点源。由于点源附近的水头梯度极大,是奇异点,有限元中通常要进行等效处理才能保证全局的精度。提出了以零体积点元模拟点源的方法,该方法基于修正井水位法,利用点源解析解及四面体渗流单元,推导了点元单元的显式解。使用该点元单元模拟井底,可以在不失全局精度的条件下用大网格对点源进行模拟,避免了迭代计算,极大提高了利用三维有限元模拟点源的效率。详细介绍了该点元显式解的推导过程,验证其计算精度,并探究出简化计算方法的适用范围。最后介绍了该方法在实际排水减压抗浮工程中的应用。

基于奇异摄动分解的带机械臂旋翼无人机飞行稳定性研究

为了降低无人机和机械臂之间的耦合作用,提高带臂四旋翼无人机飞行过程中的稳定性,首先建立系统动力学模型,然后根据实际情况,对模型进行简化。在此基础上进行内、外环分解,外环为四旋翼位置控制和机械臂角度控制,内环为四旋翼俯仰角控制。对于外环的动力学模型,根据速度变化特点,利用奇异摄动理论对外环变量,即四旋翼线速度和机械臂角速度,进行快、慢变子系统分解,再次降低了系统间的耦合性。对于分解后的快、慢变子系统,设计非奇异终端滑模控制并引入干扰观测器,以期提高带臂四旋翼无人机飞行过程中的稳定性。最后,仿真验证了所设计算法的优越性。

开关柜合格性检验的力矩奇异性特征分析方法

面向开关柜的合格性检验,提出一种基于力矩信号奇异性分析的检验算法。根据开关柜的合格性与力矩信号的奇异性特征的相关性,提出将力矩信号的12个统计学特征通过Fisher判别法压缩至5个,并将由该特征组成的样本集输入至SVM分类器中训练出能判别开关柜合格性的SVM模型。最后对所提算法进行了实验验证,结果表明所提算法对开关柜的合格性检验的识别率达100%,延迟在30ms以内,所识别点均落在设定区域内。阻尼干扰下,与小波变换理论算法相比,在兼顾快速响应的同时鲁棒性更好,且不需要大量的训练样本和训练时间。

正解符号化且运动解耦的2T1R并联机构拓扑设计与分析

基于方位特征(POC)方程的并联机构设计理论与方法,设计了一种全部由低副组成、具有位置正解符号化且部分运动解耦的两平移一转动(2T1R)并联机构,并对机构的主要拓扑特征(POC、自由度、耦合度、运动解耦性)进行分析与计算;基于拓扑特征运动学建模原理,导出机构符号式位置正解和反解;同时,由位置反解分析了机构奇异性,基于符号式位置正解求解了机构工作空间;根据基于虚功原理的序单开链法,对该机构动力学性能进行分析,计算得施加在3个驱动副上的驱动力;最后,对该机构应用于无人机操作及其安全着陆的动作原理进行了概念设计阐述。

新一代Wi-Fi的新型感知信息压缩方法

通信设备由于和雷达设备的工作存在重叠,也可以实现目标检测。但是传统的通信协议采用显式反馈传输信息,导致采用通信设备检测无法保留感知信息,因此可以对显式反馈的分解流程进行改进,从而在通信的间隙实现对环境目标的感知。在MIMO系统中,波束成型是发射端利用MIMO信道状态信息生成导向矩阵,从而提升接收端接收性能的一种技术。目前显式反馈波束成型是通信中波束成型的主流方式,接收端会对接收到的信道矩阵进行奇异值分解后转换成一系列角度值传回发射端。虽然采用传统的矩阵分解流程获得反馈矩阵可以有效降低反馈的冗余信息量,但是通常会丢失掉通信设备在感知过程中获得的大部分重要信息,从而导致利用Wi-Fi信号进行目标探测的功能受到限制。研究发现对于接收到的信道矩阵利用传统的分解方式获得的反馈矩阵特征向量无法保留目标的距离,速度信息。本文提出了一种新型的分解方式,基于信道矩阵的协方差矩阵,先求解左奇异矩阵,再利用左右两个酉矩阵正交向量的对应关系,进一步求解从而获得改进的右奇异矩阵,所提改进方法保留了目标的距离、速度以及角度信息,极大地提升了有效反馈信息量。最后通过仿真实验验证了所提方法的有效性。

电动静液作动器的非线性变阻尼积分滑模控制

对于电动静液作动器(EHA),传统滑模控制器存在加速度信息难以获取,参数不易整定和控制信号抖振等问题,从而造成控制器很难应用于实际。针对以上问题,利用奇异摄动理论对EHA数学模型进行合理的降阶,从而使控制器设计避免了使用加速度信息。在此基础上,利用降阶模型设计了一种新型非线性变阻尼积分滑模控制器(NSMC),该控制器可根据位置控制误差实现系统阻尼比由欠阻尼到过阻尼的自适应调节,能有效提高位置阶跃调节性能。设计了一种基于滤波器的不确定项估计器对EHA中存在的参数不确定性和外部扰动进行实时估计并补偿。滑模面积分项的引入和不确定项估计器的使用,一方面使控制器中无需使用切换函数,实现了EHA的无抖振滑模控制,另一方面使系统整个动态过程完全表现为滑动模态,从而可根据EHA控制指标直接整定滑模面参数,大大简化了参数整定过程。同时利用Lyapunov稳定性理论对整个闭环系统和滑模面的稳定性进行了详细分析。分别与PI控制器、传统滑模控制器(SMC)和传统变阻尼滑模控制器(DVSMC)进行了详细的仿真分析比较,仿真结果表明NSMC能有效提高EHA位置跟踪性能和增强对参数不确定性和外部扰动的鲁棒性。

分布式散射体相位估计奇异值分解法

常规的分布式散射体(DS)相位估计方法需要生成全组合干涉对以构建样本协方差矩阵(SCM),然后根据SCM的统计特性估计DS相位,这一过程不但计算耗时,而且占据大量存储空间。本文提出了一种基于奇异值分解技术的DS相位快速估计方法(SVDI)。该方法分析的对象是单主影像干涉对组成的干涉相位矩阵而非全组合干涉对组成的SCM,因而可以有效提高计算效率、节省存储空间。并且,理论上证明了在一定条件下SVDI的结果与常规的特征值分解方法(EVD)是一致的。模拟数据和真实SAR数据的结果表明,SVDI算法有更高的计算效率,并且其相位估计精度以及形变解算精度与常规算法是一致的。