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Factorial Unitary Representations of the Translational Group, Invariant Pure States and the Super Symmetric Graviton 平移群的阶乘酉表示，不变纯态和超对称引力子
Journal of Physical Mathematics Pub Date : 2017-12-29 DOI: 10.4172/2090-0902.1000257
James Moffat, C. Wang
{"title":"Factorial Unitary Representations of the Translational Group, Invariant Pure States and the Super Symmetric Graviton","authors":"James Moffat, C. Wang","doi":"10.4172/2090-0902.1000257","DOIUrl":"https://doi.org/10.4172/2090-0902.1000257","url":null,"abstract":"Unitary Representations corresponding to local shifts in reference frames are a key topic for progress in Quantum Gravity. The fibre bundle construct defined in our previous work in which quantum fields become liftings of; or sections through; a fibre bundle with base space curved space-time, continues to be the context for this paper. We investigate in more depth the subgroup T of the Poincare group consisting of translations of space-time as a gauge group of automorphisms. We define a representation of T as a group of automorphisms of the local fibre algebra A(x) which we assume to be isomorphic to a von Neumann algebra with trivial centre acting on a separable Hilbert space. Provided this group representation α is weakly measurable, then we have previously proved that it is also norm continuous, and is implemented by a norm, hence weakly and strongly, continuous unitary representation, by unitaries in the algebra. We discuss the dependence of this key result on the strange properties of Stonean spaces and extend our exploitation of Mackey Theory to give a more straightforward group theoretic proof. From such unitary representations a minimal form of Supersymmetry naturally emerges, which predicts the existence of both the mass zero graviton, and its gravitino partner.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127890016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Bifurcation of a Nonsmooth Predator-Prey System with Prey-Protected Control Strategy 一类具有猎物保护控制策略的非光滑捕食者-食饵系统的分岔
Journal of Physical Mathematics Pub Date : 2017-12-19 DOI: 10.4172/2090-0902.1000255
M. Su-qi
{"title":"Bifurcation of a Nonsmooth Predator-Prey System with Prey-Protected Control Strategy","authors":"M. Su-qi","doi":"10.4172/2090-0902.1000255","DOIUrl":"https://doi.org/10.4172/2090-0902.1000255","url":null,"abstract":"A bio-mathematical model of a planar prey-predator system is investigated since control strategy by prey protection. By applying Flippov method, the rich dynamics of the non-smooth system is obtained underlying discipline of condim-1 bifurcation. The bifurcation diagram of touching bifurcation(or grazing bifurcation) line and boundary focus bifurcation line are plotted by varying parameter continuously. Varying parameters in different domains, the system dynamical behaviors are classified and sliding periodic solution, homoclinic solution and limit cycle are numerical simulated.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"524 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123063796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Associative Triple Systems with Nondegenerate Bilinear Forms 具有非退化双线性形式的结合三重系统
Journal of Physical Mathematics Pub Date : 2017-11-21 DOI: 10.4172/2090-0902.1000254
A. Kh., A. Baklouti
{"title":"Associative Triple Systems with Nondegenerate Bilinear Forms","authors":"A. Kh., A. Baklouti","doi":"10.4172/2090-0902.1000254","DOIUrl":"https://doi.org/10.4172/2090-0902.1000254","url":null,"abstract":"This paper is bringing a better knowledge of associative triple systems and their related algebraic structures. We prove that any associative triple system is either a T*-extension of an associative triple system or an ideal of codimension one of a T*-extension of an associative triple system. Morover, we give several information about the structure of symmetric associative triple systems","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125368416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Induced Riemannian Structures and Topology of Null Hypersurfaces in Lorentzian Manifold 洛伦兹流形中零超曲面的诱导黎曼结构和拓扑
Journal of Physical Mathematics Pub Date : 2017-11-03 DOI: 10.4172/2090-0902.1000250
M. Karimumuryango
{"title":"Induced Riemannian Structures and Topology of Null Hypersurfaces in Lorentzian Manifold","authors":"M. Karimumuryango","doi":"10.4172/2090-0902.1000250","DOIUrl":"https://doi.org/10.4172/2090-0902.1000250","url":null,"abstract":"Given a null hypersurface of a Lorentzian manifold, we induce a Riemannian metric on the null hypersurface using a normalizing field defined on some open set containing the null hypersurface. We establish links between the null geometry and basics invariants of the associated Riemannian metric. This allowed us, using some comparison theorems from Riemannian geometry, to get important results on the topology of the null hypersurface.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"105 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134301762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Problem in Thermoelasticity with and without Energy Dissipation 一个有和无能量耗散的热弹性问题
Journal of Physical Mathematics Pub Date : 2017-10-04 DOI: 10.4172/2090-0902.1000243
M. KhedrMonaEl, K. Se
{"title":"A Problem in Thermoelasticity with and without Energy Dissipation","authors":"M. KhedrMonaEl, K. Se","doi":"10.4172/2090-0902.1000243","DOIUrl":"https://doi.org/10.4172/2090-0902.1000243","url":null,"abstract":"In this work, we are compared between the theory of thermoelasticity with two relaxation times and the theory of thermoelasticity without energy dissipation. To a half-space overlaid by a thick layer of a different material. The upper surface of the layer is taken to be traction free and is subjected to a constant thermal shock. We are used Laplace transform to eliminate the time variable t. The inverses Laplace transforms are obtained by using a numerical method based on Fourier expansion techniques comparison between the predictions of both theories are discussed. Numerical results are computed for the temperature, displacement and stress distributions. The numerical results are represented graphically","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122027757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Study of Second Grade Fluid over a Rotating Disk with Coriolis and Centrifugal Forces 二级流体在具有科里奥利力和离心力的旋转圆盘上的研究
Journal of Physical Mathematics Pub Date : 2017-10-03 DOI: 10.4172/2090-0902.1000242
M. Shuaiba, Shaha Ra, A. Khana
{"title":"Study of Second Grade Fluid over a Rotating Disk with Coriolis and Centrifugal Forces","authors":"M. Shuaiba, Shaha Ra, A. Khana","doi":"10.4172/2090-0902.1000242","DOIUrl":"https://doi.org/10.4172/2090-0902.1000242","url":null,"abstract":"The steady flow of an incompressible second grade viscoelastic fluid above a rotating disk that is stretching in radial direction is studied. The Coriolis and centrifugal forces are taking into account. The constitutive non-linear partial differential equations are transformed to system of ordinary differential equations. For analysis Homotopy Analysis Metod (HAM) BVPh2.0 package is used. The effects of viscoelastic parameter α, rotating parameter β, stretching parameter γ, Coriolis and centrifugal forces on the velocity component are discussed.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127942806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Nonextensive Electrical and Thermostatistical Parametric Dependency on Temperature and Tsallis Factor by the Formulation of Q-Exponential Integrals 用q -指数积分的形式研究电学和热统计参数对温度和Tsallis因子的非广泛依赖
Journal of Physical Mathematics Pub Date : 2017-09-04 DOI: 10.4172/2090-0902.1000244
Banerjee Avinab
{"title":"Nonextensive Electrical and Thermostatistical Parametric Dependency on Temperature and Tsallis Factor by the Formulation of Q-Exponential Integrals","authors":"Banerjee Avinab","doi":"10.4172/2090-0902.1000244","DOIUrl":"https://doi.org/10.4172/2090-0902.1000244","url":null,"abstract":"The paper emphasizes an approach to solve complex q-exponential integrals by an implication of Binomial expansion along with some specific conditions on the integral limits and sets a relation between the limits which were used such as the maximum energy of the electrons and the chemical potential. The integral results which yielded the average energy and the effective electron concentration which proved out to be essential in order to calculate the average velocity of the electrons and the electrical conductivity of a metallic wire while taking consideration of the Drude’s model. The dependency on temperature of these parameters with the variation of Tsallis factor renders anomalous results depicting the Nonextensive Critical Temperature value to be 20 K and its importance has been mentioned in this paper along with the dependency of these parameters on certain regions consisting of Tsallis factor which follows subextensivity and superextensivity and infers a point known to be as Maximum Entropy Limiting Factor.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128010728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convergence Analysis of Finite Difference Method for Differential Equation 微分方程有限差分法的收敛性分析
Journal of Physical Mathematics Pub Date : 2017-08-23 DOI: 10.4172/2090-0902.1000240
A. BinMasud
{"title":"Convergence Analysis of Finite Difference Method for Differential Equation","authors":"A. BinMasud","doi":"10.4172/2090-0902.1000240","DOIUrl":"https://doi.org/10.4172/2090-0902.1000240","url":null,"abstract":"In this paper, convergence analysis of a finite difference method for the linear second order boundary value ordinary differential equation is determined by investigating basic key concepts such as consistency and stability by using the maximum norm","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127802474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Study of Stellar Model with Cramer's Opacity by using Runge Kutta Method with Programming C 用Runge - Kutta方法研究具有Cramer不透明度的恒星模型
Journal of Physical Mathematics Pub Date : 2017-07-21 DOI: 10.4172/2090-0902.1000239
Bin Masud A
{"title":"A Study of Stellar Model with Cramer's Opacity by using Runge Kutta Method with Programming C","authors":"Bin Masud A","doi":"10.4172/2090-0902.1000239","DOIUrl":"https://doi.org/10.4172/2090-0902.1000239","url":null,"abstract":"This paper, I have made an investigation on a stellar model with Kramer’s Opacity and negligible abundance of heavy elements. I have determined the structure of a star with mass 2.5⊗ M, i.e., the physical variables like pressure, density, temperature and luminosity at different interior points of the star. Discussed about some equation of structure, mechanism of energy production in a star and energy transports in stellar interior and then I solved radiative envelope and convective core by the matching or fitting point method by C Programming language.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129412086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Algeria's Satisfaction with the Valorisation of Renewable Energies in the Field of Electrification of Remote Regions of the Paid 阿尔及利亚对边远地区电气化领域可再生能源的增值表示满意
Journal of Physical Mathematics Pub Date : 2017-07-07 DOI: 10.4172/2090-0902.1000237
S. Ahmed, Nasser Tm
{"title":"Algeria's Satisfaction with the Valorisation of Renewable Energies in the Field of Electrification of Remote Regions of the Paid","authors":"S. Ahmed, Nasser Tm","doi":"10.4172/2090-0902.1000237","DOIUrl":"https://doi.org/10.4172/2090-0902.1000237","url":null,"abstract":"The diesel generator is the only way used for the production of energy in isolated sites and remote areas, Saharan Africa of the paid Algeria. Our goal is study and designs a power plant Production of mobile autonomous electricity, hybrid plant, which combines two renewable energy sources (wind, photovoltaic) and a diesel engine backup with storage. The objective of the work is the first step in our goal. We have simulated the conversion wind turbine by adopting the continuous model Converters. To control the DC bus voltage and the exchange of active and reactive powers, we have implanted proportional correctors integral.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131619106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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