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Chiral symmetry in Dirac equation and its effects on neutrino masses and dark matter 狄拉克方程中的手性对称性及其对中微子质量和暗物质的影响
arXiv: General Physics Pub Date : 2020-08-20 DOI: 10.1142/s0217751x20501894
T. Watson, Z. Musielak
{"title":"Chiral symmetry in Dirac equation and its effects on neutrino masses and dark matter","authors":"T. Watson, Z. Musielak","doi":"10.1142/s0217751x20501894","DOIUrl":"https://doi.org/10.1142/s0217751x20501894","url":null,"abstract":"Chiral symmetry is included into the Dirac equation using the irreducible representations of the Poincare group. The symmetry introduces the chiral angle that specifies the chiral basis. It is shown that the correct identification of these basis allows explaining small masses of neutrinos and predicting a new candidate for Dark Matter massive particle.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"94 6 Pt 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129527750","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
Wave functions for pentadiagonal matrices in the weak coupling limit 弱耦合极限下五对角矩阵的波函数
arXiv: General Physics Pub Date : 2020-07-01 DOI: 10.1142/S0218301320500500
L. Zamick
{"title":"Wave functions for pentadiagonal matrices in the weak coupling limit","authors":"L. Zamick","doi":"10.1142/S0218301320500500","DOIUrl":"https://doi.org/10.1142/S0218301320500500","url":null,"abstract":"We consider a pentadiagonal matrix which will be described in the text. We demonstrate practical methods for obtaining weak coupling expressions for the lowest eigenvector in terms of the parameters in the matrix, v and w. It is found that the expressions simplify if the wave function coefficients are put in the denominator.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"127 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133088322","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
On the quantum description of the early universe 关于早期宇宙的量子描述
arXiv: General Physics Pub Date : 2020-07-01 DOI: 10.31349/RevMexFisE.17.263
G. Bengochea
{"title":"On the quantum description of the early universe","authors":"G. Bengochea","doi":"10.31349/RevMexFisE.17.263","DOIUrl":"https://doi.org/10.31349/RevMexFisE.17.263","url":null,"abstract":"Why is it interesting to try to understand the origin of the universe? Everything we observe today, including our existence, arose from that event. Although we still do not have a theory that allows us to describe the origin itself, the study of the very early era of the universe involves the ideal terrain to analyze the interface between two of today's most successful physical theories, General Relativity and Quantum physics. But it is also an area in which we have a large number of observational data to test our theoretical ideas. Two of the fathers of Quantum physics, Niels Bohr and Werner Heisenberg, shared some thoughts that could be described with these words: \"Quantum physics tells us that there is a line between the observed and the observer, and therefore science should be limited to what is observed. We must give up a complete, objective and realistic theory of the world\". This article will orbit around these ideas and summarizes how it is that today, from recent works, we are in a position to try to challenge them (at least in part) through cosmology, seeking the quantum description of the early universe.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126342013","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
Are models of local hidden variables for the singlet polarization state necessarily constrained by the Bell inequality? 单线态偏振态的局部隐变量模型是否一定受到贝尔不等式的约束?
arXiv: General Physics Pub Date : 2020-06-25 DOI: 10.1142/S0217732320502296
D. Oaknin
{"title":"Are models of local hidden variables for the singlet polarization state necessarily constrained by the Bell inequality?","authors":"D. Oaknin","doi":"10.1142/S0217732320502296","DOIUrl":"https://doi.org/10.1142/S0217732320502296","url":null,"abstract":"The Bell inequality is thought to be a common constraint shared by all models of local hidden variables that aim to describe the entangled states of two qubits. Since the inequality is violated by the quantum mechanical description of these states, it purportedly allows distinguishing in an experimentally testable way the predictions of quantum mechanics from those of models of local hidden variables and, ultimately, ruling the latter out. In this paper, we show, however, that the models of local hidden variables constrained by the Bell inequality all share a subtle, though crucial, feature that is not required by fundamental physical principles and, hence, it might not be fulfilled in the actual experimental setup that tests the inequality. Indeed, the disputed feature neither can be properly implemented within the standard framework of quantum mechanics and it is even at odds with the fundamental principle of relativity. Namely, the proof of the inequality requires the existence of a preferred absolute frame of reference (supposedly provided by the lab) with respect to which the hidden properties of the entangled particles and the orientations of each one of the measurement devices that test them can be independently defined through a long sequence of realizations of the experiment. We notice, however, that while the relative orientation between the two measurement devices is a properly defined physical magnitude in every single realization of the experiment, their global rigid orientation with respect to a lab frame is a spurious gauge degree of freedom. Following this observation, we were able to explicitly build a model of local hidden variables that does not share the disputed feature and, hence, it is able to reproduce the predictions of quantum mechanics for the entangled states of two qubits.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"387 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133015097","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
Quantum Influence of Topological Defects on a Relativistic Scalar Particle with Cornell-Type Potential in Cosmic String Space-Time with a Spacelike Dislocation 拓扑缺陷对具有类空间位错的宇宙弦时空中具有康奈尔型势的相对论标量粒子的量子影响
arXiv: General Physics Pub Date : 2020-06-19 DOI: 10.1155/2020/4832010
F. Ahmed
{"title":"Quantum Influence of Topological Defects on a Relativistic Scalar Particle with Cornell-Type Potential in Cosmic String Space-Time with a Spacelike Dislocation","authors":"F. Ahmed","doi":"10.1155/2020/4832010","DOIUrl":"https://doi.org/10.1155/2020/4832010","url":null,"abstract":"We study the relativistic quantum of scalar particles in the cosmic string space-time with a screw dislocation (torsion) subject to a uniform magnetic field including the magnetic quantum flux in the presence of potential. We solve the Klein-Gordon equation with a Cornell-type scalar potential in the considered framework and obtain the energy eigenvalues and eigenfunctions and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121260652","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
Effects of Kaluza-Klein Theory and Potential on a Generalized Klein-Gordon Oscillator in the Cosmic String Space-Time 宇宙弦时空中广义Klein-Gordon振子的Kaluza-Klein理论和势的影响
arXiv: General Physics Pub Date : 2020-06-05 DOI: 10.1155/2020/8107025
F. Ahmed
{"title":"Effects of Kaluza-Klein Theory and Potential on a Generalized Klein-Gordon Oscillator in the Cosmic String Space-Time","authors":"F. Ahmed","doi":"10.1155/2020/8107025","DOIUrl":"https://doi.org/10.1155/2020/8107025","url":null,"abstract":"In this paper, we solve a generalized Klein-Gordon oscillator in the cosmic string space-time with a scalar potential of Cornell-type within the Kaluza-Klein theory and obtain the relativistic energy eigenvalues and eigenfunctions. We extend this analysis by replacing the Cornell-type with Coulomb-type potential in the magnetic cosmic string space-time and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125935852","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
Algebra, coherent states, generalized Hermite polynomials, and path integrals for fractional statistics—Interpolating from fermions to bosons 代数，相干态，广义埃尔米特多项式，以及分数统计的路径积分——从费米子到玻色子的插值
arXiv: General Physics Pub Date : 2020-05-11 DOI: 10.1063/5.0022407
S. Ramakrishna
{"title":"Algebra, coherent states, generalized Hermite polynomials, and path integrals for fractional statistics—Interpolating from fermions to bosons","authors":"S. Ramakrishna","doi":"10.1063/5.0022407","DOIUrl":"https://doi.org/10.1063/5.0022407","url":null,"abstract":"This article develops the algebraic structure that results from the $theta$-commutator $alpha beta - e^{i theta} beta alpha = 1 $ that provides a continuous interpolation between the Clifford and Heisenberg algebras. We first demonstrate the most general geometrical picture, applicable to all values of $N$. After listing the properties of this Hilbert space, we study the generalized coherent states that result when $xi^N=0$, for $N ge 2$. We also solve the generalized harmonic oscillator problem and derive generalized versions of the Hermite polynomials for general $N$. Some remarks are made to connect this study to the case of anyons. This study represents the first steps towards developing an anyonic field theory.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"174 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115706794","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
Precessional angular velocity and field strength in the complex octonion space 复八元空间中的岁差角速度和场强
arXiv: General Physics Pub Date : 2020-05-06 DOI: 10.1142/S0219887820500917
Zi-Hua Weng
{"title":"Precessional angular velocity and field strength in the complex octonion space","authors":"Zi-Hua Weng","doi":"10.1142/S0219887820500917","DOIUrl":"https://doi.org/10.1142/S0219887820500917","url":null,"abstract":"The paper aims to apply the octonions to explore the precessional angular velocities of several particles in the electromagnetic and gravitational fields. Some scholars utilize the octonions to research the electromagnetic and gravitational fields. One formula can be derived from the octonion torque, calculating the precessional angular velocity generated by the gyroscopic torque. When the octonion force is equal to zero, it is able to deduce the force equilibrium equation and precession equilibrium equation and so forth. From the force equilibrium equation, one can infer the angular velocity of revolution for the particles. Meanwhile, from the precession equilibrium equation, it is capable of ascertaining the precessional angular velocity induced by the torque derivative, including the angular velocity of Larmor precession. Especially, some ingredients of torque derivative are in direct proportion to the field strengths. The study reveals that the precessional angular velocity induced by the torque derivative is independent of that generated by the torque. The precessional angular velocity, induced by the torque derivative, is relevant to the torque derivative and the spatial dimension of precessional velocity. It will be of great benefit to understanding further the precessional angular velocity of the spin angular momentum.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128417052","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
Asymmetric variation of a finite mass harmonic like oscillator 有限质量类谐振子的非对称变分
arXiv: General Physics Pub Date : 2020-05-03 DOI: 10.1016/j.rinp.2020.103335
J. Asad, P. Mallick, B. Rath, M. Samei, P. Mohapatra, H. Shanak, R. Jarrar
{"title":"Asymmetric variation of a finite mass harmonic like oscillator","authors":"J. Asad, P. Mallick, B. Rath, M. Samei, P. Mohapatra, H. Shanak, R. Jarrar","doi":"10.1016/j.rinp.2020.103335","DOIUrl":"https://doi.org/10.1016/j.rinp.2020.103335","url":null,"abstract":"","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126024647","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: 11
Взаимодействие кватернионного поля Дирака с бозонным полем 狄拉克四子场与玻色子场相互作用
arXiv: General Physics Pub Date : 2020-05-01 DOI: 10.4213/TMF9757
Арбаб Ибрагим Арбаб, Arbab I. Arbab
{"title":"Взаимодействие кватернионного поля Дирака с бозонным полем","authors":"Арбаб Ибрагим Арбаб, Arbab I. Arbab","doi":"10.4213/TMF9757","DOIUrl":"https://doi.org/10.4213/TMF9757","url":null,"abstract":"We have extended the biquaternionic Dirac's equation to include interactions with photons. The electric field is found to be perpendicular to the matter magnetic field, and the magnetic field is perpendicular to the matter inertial field. Inertial and magnetic masses are found to be conserved separately. The magnetic mass density is a consequence of the coupling between the vector potential and the matter inertial field. The presence of the vector and scalar potentials, and the matter inertial and magnetic fields are found to modify the standard form of the derived Maxwell's equations. The resulting interacting electrodynamics equations are found to generalize those of axion-like fields of Frank Wilczek or Chern-Simons equations. The axion field satisfies massive Klein-Gordon equation if Lorenz gauge condition is violated. Therefore, axion could be our massive photon. The electromagnetic field vector, $vec{F}=vec{E}+icvec{B}$, is found to satisfy massive Dirac's equation in addition to the fact that $vec{nabla}cdotvec{F}=0$, where $vec{E}$ and $vec{B}$ are the electric and magnetic fields, respectively.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114282764","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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