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曲面上的曲率在理论物理中的一些应用
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作者 YANG Yi-song 《Chinese Quarterly Journal of Mathematics》 2023年第3期221-253,共33页
In this survey article,we present two applications of surface curvatures in theoretical physics.The first application arises from biophysics in the study of the shape of cell vesicles involving the minimization of a m... In this survey article,we present two applications of surface curvatures in theoretical physics.The first application arises from biophysics in the study of the shape of cell vesicles involving the minimization of a mean curvature type energy called the Helfrich bending energy.In this formalism,the equilibrium shape of a cell vesicle may present itself in a rich variety of geometric and topological characteristics.We first show that there is an obstruction,arising from the spontaneous curvature,to the existence of a minimizer of the Helfrich energy over the set of embedded ring tori.We then propose a scale-invariant anisotropic bending energy,which extends the Canham energy,and show that it possesses a unique toroidal energy minimizer,up to rescaling,in all parameter regime.Furthermore,we establish some genus-dependent topological lower and upper bounds,which are known to be lacking with the Helfrich energy,for the proposed energy.We also present the shape equation in our context,which extends the Helfrich shape equation.The second application arises from astrophysics in the search for a mechanism for matter accretion in the early universe in the context of cosmic strings.In this formalism,gravitation may simply be stored over a two-surface so that the Einstein tensor is given in terms of the Gauss curvature of the surface which relates itself directly to the Hamiltonian energy density of the matter sector.This setting provides a lucid exhibition of the interplay of the underlying geometry,matter energy,and topological characterization of the system.In both areas of applications,we encounter highly challenging nonlinear partial differential equation problems.We demonstrate that studies on these equations help us to gain understanding of the theoretical physics problems considered. 展开更多
关键词 Mean curvature Gauss curvature Bending energy Cell vesicles Topological bounds Shape equations Einstein tensor Cosmic strings Harmonic map model Nirenberg’s problem Conical singularities Deficit angle Conformal metric
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一种面向人脸活体检测的对抗样本生成算法 被引量:15
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作者 马玉琨 毋立芳 +2 位作者 简萌 刘方昊 杨洲 《软件学报》 EI CSCD 北大核心 2019年第2期469-480,共12页
近年来,基于深度卷积神经网络的人脸活体检测技术取得了较好的性能.然而,深度神经网络被证明容易受到对抗样本的攻击,影响了人脸系统的安全性.为了建立更好的防范机制,需充分研究活体检测任务对抗样本的生成机理.相对于普通分类问题,活... 近年来,基于深度卷积神经网络的人脸活体检测技术取得了较好的性能.然而,深度神经网络被证明容易受到对抗样本的攻击,影响了人脸系统的安全性.为了建立更好的防范机制,需充分研究活体检测任务对抗样本的生成机理.相对于普通分类问题,活体检测任务具有类间距离小,且扰动操作难度大等特性.在此基础上,提出了基于最小扰动维度和人眼视觉特性的活体检测对抗样本生成算法,将扰动集中在少数几个维度上,并充分考虑人眼的视觉连带集中特性,加入扰动点的间距约束,以便最后生成的对抗样本更不易被人类察觉.该方法只需平均改变输入向量总维度的1.36%,即可成功地欺骗网络,使网络输出想要的分类结果.通过志愿者的辨认,该方法的人眼感知率比DeepFool方法降低了20%. 展开更多
关键词 人脸活体检测 对抗样本 卷积神经网络 对抗扰动 视觉集中性
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Towards an Artificial Intelligence Framework for Data-Driven Prediction of Coronavirus Clinical Severity 被引量:15
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作者 Xiangao Jiang Megan Coffee +10 位作者 Anasse Bari Junzhang Wang Xinyue Jiang Jianping Huang Jichan Shi Jianyi Dai Jing Cai Tianxiao Zhang Zhengxing Wu Guiqing He Yitong Huang 《Computers, Materials & Continua》 SCIE EI 2020年第4期537-551,共15页
The virus SARS-CoV2,which causes the Coronavirus disease COVID-19 has become a pandemic and has spread to every inhabited continent.Given the increasing caseload,there is an urgent need to augment clinical skills in o... The virus SARS-CoV2,which causes the Coronavirus disease COVID-19 has become a pandemic and has spread to every inhabited continent.Given the increasing caseload,there is an urgent need to augment clinical skills in order to identify from among the many mild cases the few that will progress to critical illness.We present a first step towards building an artificial intelligence(AI)framework,with predictive analytics(PA)capabilities applied to real patient data,to provide rapid clinical decision-making support.COVID-19 has presented a pressing need as a)clinicians are still developing clinical acumen given the disease’s novelty,and b)resource limitations in a rapidly expanding pandemic require difficult decisions relating to resource allocation.The objectives of this research are:(1)to algorithmically identify the combinations of clinical characteristics of COVID-19 that predict outcomes,and(2)to develop a tool with AI capabilities that will predict patients at risk for more severe illness on initial presentation.The predictive models learn from historical data to help predict specifically who will develop acute respiratory distress syndrome(ARDS),a severe outcome in COVID-19.Our experimental results based on two hospitals in Wenzhou,Zhejang,China identify features most predictive of ARDS in COVID-19 initial presentation which would not have stood out to clinicians.A mild increase in elevated alanine aminotransferase(ALT)(a liver enzyme)),a presence of myalgias(body aches),and an increase in hemoglobin,in this order,are the clinical features,on presentation,that are the most predictive.Those two centers’COVID-19 case series symptoms on initial presentation can help predict severe outcomes.Predictive models that learned from historical data of patients from two Chinese hospitals achieved 70%to 80%accuracy in predicting severe cases. 展开更多
关键词 SARS-CoV2 COVID-19 CORONAVIRUS infectious diseases artificial intelligence predictive analytics
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On Current Developments in Partial Differential Equations 被引量:1
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作者 Fanghua Lin 《Communications in Mathematical Research》 CSCD 2020年第1期1-30,共30页
The first part of this article is an overview on some recent major developments in the field of analysis and partial different equations.It is a brief presentation given by the author at a round table discussion.The s... The first part of this article is an overview on some recent major developments in the field of analysis and partial different equations.It is a brief presentation given by the author at a round table discussion.The second part is a supplement of various details provided by several outstanding researchers on subjects. 展开更多
关键词 Partial differential EQUATIONS HARMONIC analysis GEOMETRIC MEASURE theory
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Quantitative Analysis of Crime Incidents in Chicago Using Data Analytics Techniques 被引量:1
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作者 Daniel Rivera Ruiz Alisha Sawant 《Computers, Materials & Continua》 SCIE EI 2019年第5期389-396,共8页
In this paper we aim to identify certain social factors that influence,and thus can be used to predict,the occurrence of crimes.The factors under consideration for this analytic are social demographics such as age,sex... In this paper we aim to identify certain social factors that influence,and thus can be used to predict,the occurrence of crimes.The factors under consideration for this analytic are social demographics such as age,sex,poverty,etc.,train ridership,traffic density and the number of business licenses per community area in Chicago,IL.A factor will be considered pertinent if there is high correlation between it and the number of crimes of a particular type in that community area. 展开更多
关键词 ANALYTICS big data Chicago CORRELATION CRIME
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E-Infinity Dualities, Discontinuous Spacetimes, Xonic Quantum Physics and the Decisive Experiment 被引量:2
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作者 Jean-Paul Auffray 《Journal of Modern Physics》 2014年第15期1427-1436,共10页
Using powerful concepts and tools borrowed from the seminal arsenal connecting physics fundamentals with esoteric set theoretical operations developed in recent years by Alexandria E-infinity theoretician M. S. El Nas... Using powerful concepts and tools borrowed from the seminal arsenal connecting physics fundamentals with esoteric set theoretical operations developed in recent years by Alexandria E-infinity theoretician M. S. El Naschie, this paper explores the deep implications of some of the dualities Dr El Naschie has identified and analyzed in his exposes, connecting them with our own Xonic Quantum Physics (XQP) which places dynamical action rather than spacetime and energy at the core of the System of the World. 展开更多
关键词 E-INFINITY El Naschie Space Time SPACETIME Topology CANTOR Sets Energy Xon Xonic Quantum Physics PLANCK Scale Dirac Electron
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FORMATION OF SINGULARITY FOR COMPRESSIBLE VISCOELASTICITY
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作者 Xianpeng Hu Dehua Wang 《Acta Mathematica Scientia》 SCIE CSCD 2012年第1期109-128,共20页
The formation of singularity and breakdown of classical solutions to the three- dimensional compressible viscoelasticity and inviscid elasticity are considered. For the compressible inviscid elastic fluids, the finite... The formation of singularity and breakdown of classical solutions to the three- dimensional compressible viscoelasticity and inviscid elasticity are considered. For the compressible inviscid elastic fluids, the finite-time formation of singularity in classical solu- tions is proved for certain initial data. For the compressible viscoelastic fluids, a criterion in term of the temporal integral of the velocity gradient is obtained for the breakdown of smooth solutions. 展开更多
关键词 compressible viscoelastic fluid inviscid elasticity local classical solution formation of singularity BLOWUP breakdown
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Geek Talents:Who are the Top Experts on GitHub and Stack Overflow?
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作者 Yijun Tian Waii Ng +1 位作者 Jialiang Cao Suzanne McIntosh 《Computers, Materials & Continua》 SCIE EI 2019年第8期465-479,共15页
In the field of Computer Science,software developers need to use a wide array of social collaborative platforms for learning and cooperating.The most popular ones are GitHub and Stack Overflow.Existing platforms only ... In the field of Computer Science,software developers need to use a wide array of social collaborative platforms for learning and cooperating.The most popular ones are GitHub and Stack Overflow.Existing platforms only support search queries to extract relevant repository information from GitHub,or questions and answers from Stack Overflow.This ignores the valuable coder-related part-who are the top experts(geek talents)in a specific area?This information is important to companies,open source projects,and to those who want to learn from an expert role model.Thus,how to find the right developers is quite a crucial yet challenging problem.Most of the current works mainly focus on recommending experts in a particular software engineering task and ignore the relationship between developers within different projects.In this paper,we propose a novel technique that automatically identifies geek talents from GitHub,Stack Overflow,and across both communities.The results show that our work performs well at recommending proper developers in diverse areas. 展开更多
关键词 Developer recommendation collaborative filtering stack overflow GitHub
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Information Flow Security Models for Cloud Computing
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作者 Congdong Lv Ji Zhang +1 位作者 Zhoubao Sun Gang Qian 《Computers, Materials & Continua》 SCIE EI 2020年第12期2687-2705,共19页
Cloud computing provides services to users through Internet.This open mode not only facilitates the access by users,but also brings potential security risks.In cloud computing,the risk of data leakage exists between u... Cloud computing provides services to users through Internet.This open mode not only facilitates the access by users,but also brings potential security risks.In cloud computing,the risk of data leakage exists between users and virtual machines.Whether direct or indirect data leakage,it can be regarded as illegal information flow.Methods,such as access control models can control the information flow,but not the covert information flow.Therefore,it needs to use the noninterference models to detect the existence of illegal information flow in cloud computing architecture.Typical noninterference models are not suitable to certificate information flow in cloud computing architecture.In this paper,we propose several information flow models for cloud architecture.One model is for transitive cloud computing architecture.The others are for intransitive cloud computing architecture.When concurrent access actions execute in the cloud architecture,we want that security domain and security domain do not affect each other,that there is no information flow between security domains.But in fact,there will be more or less indirect information flow between security domains.Our models are concerned with how much information is allowed to flow.For example,in the CIP model,the other domain can learn the sequence of actions.But in the CTA model,the other domain can’t learn the information.Which security model will be used in an architecture depends on the security requirements for that architecture. 展开更多
关键词 Cloud computing security information flow security NONINTERFERENCE noninterference models
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On an Intriguing Invention Albert Einstein Made Which Has Gone Unnoticed Hitherto
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作者 Jean-Paul Auffray 《Journal of Modern Physics》 2015年第11期1478-1491,共14页
We retrieve three mysterious sentences Albert Einstein wrote in the early years of his wondrous scientific career. We examine their implications and we suggest that they provide a surprising new basis for Quantum Phys... We retrieve three mysterious sentences Albert Einstein wrote in the early years of his wondrous scientific career. We examine their implications and we suggest that they provide a surprising new basis for Quantum Physics as well as some enlightenment concerning the whereabouts of Dark energy. 展开更多
关键词 EINSTEIN Absolute Measurements Electromagnetic ENERGY M = E/c2 Space Points Dark ENERGY M. S. El Naschie Quantum METEORITES
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A Xon Signature in the Electron Spin
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作者 Jean-Paul Auffray 《Journal of Modern Physics》 2013年第11期9-13,共5页
The elementary particles listed in the Standard Model of particle physics have all in common a quantum mechanical attribute which has the dimension of the xon, suggesting that the xon might be a structural ingredient ... The elementary particles listed in the Standard Model of particle physics have all in common a quantum mechanical attribute which has the dimension of the xon, suggesting that the xon might be a structural ingredient of matter. The xon should therefore be included as a full-fledged member in the SM catalog of elementary particles. 展开更多
关键词 OBSERVABLE UNIVERSE DARK MATTER Standard Model Ordinary MATTER Electron Spin Xon Photon GRAVITOMAGNETISM Smolin Haroche Arbab
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Quantum Meteorites: An Extemporaneous Description of the System of the World
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作者 Jean-Paul Auffray 《Journal of Modern Physics》 2015年第7期878-889,共12页
We extemporaneously summarize the theoretical scheme we have introduced recently in this note to account for the (hidden) functioning of the System of the World at the quantum level. We further explore the relevance, ... We extemporaneously summarize the theoretical scheme we have introduced recently in this note to account for the (hidden) functioning of the System of the World at the quantum level. We further explore the relevance, the pertinence and the potential validity of this scheme. We obtain new fundamental results, bearing notably on the nature and the origin of the “virtual particles” conventionally called upon in quantum field theories to explain the Casimir Effect. We define the concept of quantum meteorites in this context. We disable the Heisenberg Uncertainty Principle, judged to be a (mis) interpretation of otherwise legitimate observations, and we replace it with our new XQP Absolute Certainty Principle. 展开更多
关键词 Xonic QUANTUM Physics CASIMIR Effect Virtual PHOTONS Uncertainty Principle PLANCK Length QUANTUM METEORITES
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Is Dark Matter Made up of Xons?
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作者 Jean-Paul Auffray 《Journal of Modern Physics》 2013年第8期121-125,共5页
Three months before his untimely death in Paris in July 1912, Henri Poincaré formulated the conjecture that Planck’s action element could (should) be regarded as constituting a “véritable atome”, i.e. an ... Three months before his untimely death in Paris in July 1912, Henri Poincaré formulated the conjecture that Planck’s action element could (should) be regarded as constituting a “véritable atome”, i.e. an “atom of motion”, whose integrity arises from the fact that the “points” it contains are equivalent to one another from the standpoint of probability. In this paper we investigate the possibility that this conjecture provides a clue to the origin and nature of dark matter. 展开更多
关键词 Smolin POINCARÉ Action Space VACUUM Scale RELATIVITY Nottale DARK MATTER Xons
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A generic approach to the dynamical interpretation of ocean-atmosphere processes
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作者 X. San Liang 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2008年第z1期74-92,共19页
This paper summarizes the recent development of a portable self-contained system to unravel the intricate multiscale dynamical processes from real oceanic flows, which are in nature highly nonlinear and intermittent i... This paper summarizes the recent development of a portable self-contained system to unravel the intricate multiscale dynamical processes from real oceanic flows, which are in nature highly nonlinear and intermittent in space and time. Of particular focus are the interactions among largescale, mesoscale, and submesoscale processes.We firsu introduce the concept of scale window, and an orthogonal subspace decomposition technigue called multiscale window transform (MWT). Established on MWT is a rigorous formalism of multiscale transport, perfect transfer, and multiscale conversion, which makes a new methodology, multiscale energy and vorticity analysis (MS-EVA). A direct application of the MS-EVA is the development of a novel localized instability analysis, generalizing the classical notion of hydrodynamic instability to finite amplitude processes on irregularly variable domains. The theory is consistent with the analytical solutions of Eady's model and Kuo's model, the benchmark models of baroclinic instability and barotropic instability; it is further validated with a vortex shedding control problem. We have put it to application with a variety of complicated real ocean problems, which would be otherwise very difficult, if not impossible, to tackle. Briefly shown in this paper include the dynamical studies of a highly variable open ocean front, and a complex coastal ocean circulation. In the former, it is found that underlying the frontal meandering is a convective instability followed by an absolute instability, and correspondingly a rapid spatially amplifying mode locked into a temporally growing mode; in the latter, we see a real ocean example of how upwelling can be driven by winds through nonlinear instability, and how winds may excite the ocean via an avenue which is distinctly different from the classical paradigms. This system is mathematically rigorous, physically robust, and practically straightforward. 展开更多
关键词 Multiscale energy and vorticity analysis multiscale window transform multiscale transport perfect transfer finite-amplitude hydrodynamic instability analysis mean-eddy-turbulence interaction
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On the Origin of the CO<sub>2</sub>Climate Warming Fallacy
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作者 Jean-Paul Auffray 《Journal of Modern Physics》 2015年第15期2159-2163,共5页
We resurrect the 1896 paper in the frame of which the great Swedish physical chemist Svante August Arrhenius explains why what he called “aqueous vapour” and “carbonic acid” should be regarded as determining clima... We resurrect the 1896 paper in the frame of which the great Swedish physical chemist Svante August Arrhenius explains why what he called “aqueous vapour” and “carbonic acid” should be regarded as determining climate warming agents. We suggest that the designation “Green House Effect Gas” as applied to carbon dioxide should be officially banished from the climate vocabulary as being misleading. 展开更多
关键词 FOURIER ARRHENIUS COP21 CMP11 Quantum Physics CO2 H2O
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<i>E</i>Infinity, the Zero Set, Absolute Space and the Photon Spin
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作者 Jean-Paul Auffray 《Journal of Modern Physics》 2015年第5期536-545,共10页
As defined and used in General Relativity calculations, spacetime is a strictly classical construct which does not incorporate in any way, shape or form the concept of quantum. While reviewing the efforts that Alexand... As defined and used in General Relativity calculations, spacetime is a strictly classical construct which does not incorporate in any way, shape or form the concept of quantum. While reviewing the efforts that Alexandria theoretician M. S. El Naschie has made to resolve the dichotomy, we discovered that his E infinity theory contains a Cantor set which has characteristics specified by Isaac Newton for Absolute space. We show that this unexpected connection leads to an understanding of the mysterious origin of the one and only attribute that all particles listed in the Standard Model of Elementary Particles possess—including notably the photon—and which has remained unexplained hitherto: spin. This most rewarding result reinforces our belief in the relevance of the E infinity basic concepts in relation to our own Xonic Quantum Physics (XQP) which places dynamical action rather spacetime and energy at the core of the System of the World. 展开更多
关键词 QUANTUM Foam E INFINITY Xonic QUANTUM Physics Newton ABSOLUTE SPACE PHOTON SPIN
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The Absolute Certainty Principle (ACP) Revolutionizes Quantum Physics
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作者 Jean-Paul Auffray 《Journal of Modern Physics》 2016年第16期2341-2346,共7页
When the ubiquitous quantum, acting as an active principle, generates meteons in the System of the World, the Absolute Certainty Principle (ACP) regulates the characteristics of their motion. This newly uncovered law ... When the ubiquitous quantum, acting as an active principle, generates meteons in the System of the World, the Absolute Certainty Principle (ACP) regulates the characteristics of their motion. This newly uncovered law of Nature suggests that the cosmos is filled with an “aether”, as Newton and others—even Einstein!—called it in their days, and explains quite simply why we stand erect vertically on the surface of the Earth and why the universe is in expansion. 展开更多
关键词 Heisenberg Uncertainty Principle Quantum Meteorites Absolute Certainty Principle Energy GRAVITATION Newton EINSTEIN Universe Expansion
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Biology-Physics the Missing Link?
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作者 Jean-Paul Auffray 《Journal of Modern Physics》 2014年第6期359-363,共5页
Writing in 1943, renowned Austrian physicist Edwin Schrodinger asked “What is Life?” thereby invigorating the debate which preoccupied biologists at the time. He proposed an answer to this question rooted in conside... Writing in 1943, renowned Austrian physicist Edwin Schrodinger asked “What is Life?” thereby invigorating the debate which preoccupied biologists at the time. He proposed an answer to this question rooted in considerations borrowed from Thermodynamics and Statistical Mechanics. To reveal the missing link in Biology-Physics, the present Note investigates an alternate answer in which dynamical action, rather than thermodynamics and energy, plays the fundamental role. It reviews in particular the process of biological cell replication which may be considered to define “Life” and might be the macroscopic manifestation of an underlying quantum physical process in which xons, conveyors of dynamical action, are the determining agents. 展开更多
关键词 SCHRODINGER Dynamical Action PLANCK Quantum Physics Biological Cells Molecules ELECTRONS Strings BRANES Xons
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Why Does Newton’s Apple Fall Vertically to the Ground: The Gravitation Code
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作者 Jean-Paul Auffray 《Journal of Modern Physics》 2016年第13期1702-1711,共10页
No, Isaac Newton did not “explain” gravitation. What he did, and this certainly constituted all and by itself a great achievement, was to recognize (to “assert”) the universal character of gravitation: all materia... No, Isaac Newton did not “explain” gravitation. What he did, and this certainly constituted all and by itself a great achievement, was to recognize (to “assert”) the universal character of gravitation: all material objects (bodies) attract each other by gravitation. But how does gravitation perform its deeds? This remained a mystery to Newton. In a “desperate move” at the end of his life, he introduced the concept of “Particles which are moved by certain active Principles [our emphasis]—such as is that of Gravity” he said. We resurrect this scheme, we provide it with a quantum structure—a stunning new insight into the workings of gravitation obtains. 展开更多
关键词 GRAVITATION NEWTON Fatio de Duillier Ethereal Particles I-Meteons
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Revisiting the Half Quanta and Defining Quantum Step Mechanics
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作者 Jean-Paul Auffray Mohamed S. El Naschie 《Journal of Modern Physics》 2016年第14期1949-1952,共4页
In a recent publication in this journal one of us introduced the concept of “half quanta” and used it to provide a new insight into the origin and nature of the presence of dark energy in the cosmos. We investigate ... In a recent publication in this journal one of us introduced the concept of “half quanta” and used it to provide a new insight into the origin and nature of the presence of dark energy in the cosmos. We investigate in the present note the possibility that, in spite of this success, the concept of half quanta should be regarded to be an illegitimate intruder in the realm of modern Quantum Physics. 展开更多
关键词 PLANCK BOHR DIRAC Harmonic Oscillator Quanta
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