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On a Classical Variant of the Vertex Algebra 顶点代数的一个经典变体
Journal of Physical Mathematics Pub Date : 2017-07-07 DOI: 10.4172/2090-0902.1000236
Doikou A
{"title":"On a Classical Variant of the Vertex Algebra","authors":"Doikou A","doi":"10.4172/2090-0902.1000236","DOIUrl":"https://doi.org/10.4172/2090-0902.1000236","url":null,"abstract":"We propose a classical analogue of the vertex algebra in the context of classical integrable field theories. We use this fundamental notion to describe the auxiliary function of the linear auxiliary problem as a classical vertex operator. Then using the underlying algebra satisfied by the auxiliary function together with the linear auxiliary problem we identify the local integrals of motion, which by construction are in involution. The time components of the Lax pair are also identified in terms of the classical vertex operators. Systems in the presence of point like defects as well as systems on the semi-infinite line are investigated. Specific examples associated to the classical Yangian and twisted Yangian are also presented.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"123 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":"128145571","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
Scalar Field Theory for Mass Determination 用于质量测定的标量场理论
Journal of Physical Mathematics Pub Date : 2017-06-28 DOI: 10.4172/2090-0902.1000235
Panicaud B
{"title":"Scalar Field Theory for Mass Determination","authors":"Panicaud B","doi":"10.4172/2090-0902.1000235","DOIUrl":"https://doi.org/10.4172/2090-0902.1000235","url":null,"abstract":"Matter is actually under numerous investigations because of our misunderstanding on some observed phenomena, especially at the astronomic and cosmological scales. In the present article, a scalar field theory is investigated to explain the mass of particles from a global point of view. An universal mechanism is developed and a general relation is eventually proposed that enables to make some accurate predictions for the mass of composite particles. Numerical values are provided including predictions for existing particles, with discrete energy spectrum in relation to large-scale phenomena.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128371205","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
Distance and Mass Correction on Logarithmic Metrics for High Z's, Dueto the Non-Cero Angular Momentum in an Isotropic Rotational UniverseHypothesis 高Z的对数度量的距离和质量校正，由于各向同性旋转宇宙假设中的非cero角动量
Journal of Physical Mathematics Pub Date : 2017-06-28 DOI: 10.4172/2090-0902.1000234
B. Pons-Rullan
{"title":"Distance and Mass Correction on Logarithmic Metrics for High Z's, Dueto the Non-Cero Angular Momentum in an Isotropic Rotational UniverseHypothesis","authors":"B. Pons-Rullan","doi":"10.4172/2090-0902.1000234","DOIUrl":"https://doi.org/10.4172/2090-0902.1000234","url":null,"abstract":"Dark can’t be on the same sentence of a Hypothesis. Let’s surmise here an alternative model in which the time turn around the space with non-zero angular momentum. Then, there should be a center and we may observe anisotropies, and indeed although they are not explicit in space, but are observed over time, and we identify a beginning and an arrow-of-time. If so, to preserve the metrics invariance through scale, estimated distances to deep galaxies may be corrected by replacing the FLRW metrics by another logarithmic based, according to now a days observations in supernovae Ia range up to 0.2","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116891885","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
Ergodic Theory and the Structure of Non-commutative Space-Time 遍历理论与非交换时空结构
Journal of Physical Mathematics Pub Date : 2017-05-31 DOI: 10.4172/2090-0902.1000229
Wang Cht, James Moffat J, Oniga O
{"title":"Ergodic Theory and the Structure of Non-commutative Space-Time","authors":"Wang Cht, James Moffat J, Oniga O","doi":"10.4172/2090-0902.1000229","DOIUrl":"https://doi.org/10.4172/2090-0902.1000229","url":null,"abstract":"We develop further our fibre bundle construct of non-commutative space-time on a Minkowski base space. We assume space-time is non-commutative due to the existence of additional non-commutative algebraic structure at each point x of space-time, forming a quantum operator ‘fibre algebra’ A(x). This structure then corresponds to the single fibre of a fibre bundle. A gauge group acts on each fibre algebra locally, while a ‘section’ through this bundle is then a quantum field of the form {A(x);x∈M} with M the underlying space-time manifold. In addition, we assume a local algebra O(D) corresponding to the algebra of sections of such a principal fibre bundle with base space a finite and bounded subset of space-time, D. The algebraic operations of addition and multiplication are assumed defined fibrewise for this algebra of sections","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123510443","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: 6
Gravitational Shocks, Shock Waves, and Exotic Space Propulsion 重力冲击，冲击波和外来空间推进
Journal of Physical Mathematics Pub Date : 2017-05-28 DOI: 10.4172/2090-0902.1000225
M. Pa
{"title":"Gravitational Shocks, Shock Waves, and Exotic Space Propulsion","authors":"M. Pa","doi":"10.4172/2090-0902.1000225","DOIUrl":"https://doi.org/10.4172/2090-0902.1000225","url":null,"abstract":"Several different gravitational laws can be derived that fall within a spectrum that covers an extreme from elliptical partial differential equations for Newtonian gravitation to hyperbolic or wave equations demonstrated by other laws from Jefimenko to Einstein’s relativity. If each of these equations is valid for specific conditions at a considerable distance from space, then there is an interesting counterpoint with similar physical mathematical behavior that may be analogous between gravity and say, fluid dynamics. Here, Newtonian gravitation appears mathematically similar to subsonic flow while the other laws mathematically are comparable to supersonic flow. This evaluation advocates identifying experiments that may observe creating an inhomogeneous gravitational field that mathematically result in producing gravitational shocks or waves embedded in regions with merging different distinct strength gravitational fields. If such shocks are feasible, exploiting these gravitational shocks in a propulsion system would create thrust to possibly shadow or repel gravitation. Variations in energy to generate mass may create these distinct and separate gravitational fields for these gravitational shocks. Such an investigation is warranted for mankind to exploit developing this embryonic technology that potentially may develop an exotic space propulsor capable of moving faster than light (FTL).","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131028263","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
External Gravity Theory and Gravity Bumps During Eclipses 外重力理论和日食期间的重力颠簸
Journal of Physical Mathematics Pub Date : 2017-05-26 DOI: 10.4172/2090-0902.1000228
P. Schroeder
{"title":"External Gravity Theory and Gravity Bumps During Eclipses","authors":"P. Schroeder","doi":"10.4172/2090-0902.1000228","DOIUrl":"https://doi.org/10.4172/2090-0902.1000228","url":null,"abstract":"Perspective variances cause conflicts of understanding between all people and are especially evident among the many builders of gravity theories. External Gravity theory provides a 180 degree change of perspective relative to current theories. While consistent with experience, External Gravity Theory rebuilds gravity and its flow direction and source by focusing on the actions of the structure of space rather than actions caused by matter. The flow of gravity is broken down into beams for increased analysis potential. Another name for External Gravitation would be Beam Theory. Of the many revelations found with gravity beams, the focus of this paper is on the solution of gravity measurements during eclipses which led to the dual eclipse bump anomaly.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116751932","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: 2
Historical Review on Classical Electromagnetism & RationalReconstruction of Formal System 经典电磁学的历史回顾与形式系统的理性重构
Journal of Physical Mathematics Pub Date : 2017-05-19 DOI: 10.4172/2090-0902.1000227
Y. Benluo
{"title":"Historical Review on Classical Electromagnetism & RationalReconstruction of Formal System","authors":"Y. Benluo","doi":"10.4172/2090-0902.1000227","DOIUrl":"https://doi.org/10.4172/2090-0902.1000227","url":null,"abstract":"This book, as an introduction, may be regarded as a time of logical arrangement over the classical electromagnetism, created by JC Maxwell, and a rational reconstruction of the formal system that can be used to describe a dynamic electromagnetic wave excited by a varying current in a general 3-dim geometric space. It might especially lay on the deduction logic in this book. Although the displacement current, supported by Maxwell initially only as a purely artificial assumption, would be indispensable in form, nobody really knows the physical reality implied in the formal quantity. But, it will be logically demonstrated that the traditional assumption is unnecessary and only one new vector potential can be used to express the whole state of a dynamic electromagnetic field excited by a varying current. Besides, this book also supplies a new mathematic physical model, which not only is possibly degenerated into the classical Maxwell’s equation set but also corresponds with a 2-order partial differential equation by using a bispinor and, correspondingly, may be directly used to solve a 3-dim boundary value problem. Besides, the relative analysis shows us that, while a complex 3-dim boundary value problem solved, the calculation of computer will be expected to be decreased by a big margin [1,2].","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134628747","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
Treatments of Probability Potential Function for Nuclear Integral Equation 核积分方程的概率势函数处理
Journal of Physical Mathematics Pub Date : 2017-05-18 DOI: 10.4172/2090-0902.1000226
Matoog Rt
{"title":"Treatments of Probability Potential Function for Nuclear Integral Equation","authors":"Matoog Rt","doi":"10.4172/2090-0902.1000226","DOIUrl":"https://doi.org/10.4172/2090-0902.1000226","url":null,"abstract":"Here, the nuclear fractional integro differential equation is considered. Then, the numerical solution of the linear fractional integro differential operator m m LΦ = λ Φ is discussed. In addition, the eigenvalues (EVs) and the corresponding eigenfunctions (EFs) are obtained for the nuclear integral equation (NIE). Finally, the relation between the fractional coefficient and the potential function is obtained.","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124027415","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
Symmetry Experiment to the Lorentz Transformation 洛伦兹变换的对称实验
Journal of Physical Mathematics Pub Date : 2017-05-06 DOI: 10.4172/2090-0902.1000230
H. Deyssenroth
{"title":"Symmetry Experiment to the Lorentz Transformation","authors":"H. Deyssenroth","doi":"10.4172/2090-0902.1000230","DOIUrl":"https://doi.org/10.4172/2090-0902.1000230","url":null,"abstract":"The result of the Lorentz Transformation on a classical formula is that an observer in reference frame A observes the same phenomena in reference frame B like an observer in reference frame B observing the phenomena in reference frame A. Is that true? In this article I demonstrate at the Doppler effect that this is valid even for ‘absolute’ velocities belonging to a reference frame outside of A and B. I suggest to test whether the geometric means of frequencies belong to the frames A and B or to a reference frame outside of A and B by an experiment at CERN. In the latter case this would have significant implications in space-time modelling","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116217690","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
Logic Examination and Arrangement upon the Classical Mechanics andthe Foundation of Natural Science 经典力学与自然科学基础的逻辑检验与安排
Journal of Physical Mathematics Pub Date : 2017-05-06 DOI: 10.4172/2090-0902.1000231
Y. Benluo
{"title":"Logic Examination and Arrangement upon the Classical Mechanics andthe Foundation of Natural Science","authors":"Y. Benluo","doi":"10.4172/2090-0902.1000231","DOIUrl":"https://doi.org/10.4172/2090-0902.1000231","url":null,"abstract":"","PeriodicalId":233617,"journal":{"name":"Journal of Physical Mathematics","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116795393","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
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