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Birth of the GUP and its effect on the entropy of the Universe in Lie-$N$-algebra 李- N -代数中GUP的诞生及其对宇宙熵的影响
arXiv: General Physics Pub Date : 2017-05-29 DOI: 10.1142/S0219887817501304
A. Sepehri, A. Pradhan, R. Pinčák, F. Rahaman, A. Beesham, Tooraj Ghaffary
{"title":"Birth of the GUP and its effect on the entropy of the Universe in Lie-$N$-algebra","authors":"A. Sepehri, A. Pradhan, R. Pinčák, F. Rahaman, A. Beesham, Tooraj Ghaffary","doi":"10.1142/S0219887817501304","DOIUrl":"https://doi.org/10.1142/S0219887817501304","url":null,"abstract":"In this paper, the origin of the generalized uncertainty principle (GUP) in an $M$-dimensional theory with Lie-$N$-algebra is considered. This theory which we name GLNA(Generalized Lie-$N$-Algebra)-theory can be reduced to $M$-theory with $M=11$ and $N=3$. In this theory, at the beginning, two energies with positive and negative signs are created from nothing and produce two types of branes with opposite quantum numbers and different numbers of timing dimensions. Coincidence with the birth of these branes, various derivatives of bosonic fields emerge in the action of the system which produce the $r$ GUP for bosons. These branes interact with each other, compact and various derivatives of spinor fields appear in the action of the system which leads to the creation of the GUP for fermions. The previous predicted entropy of branes in the GUP is corrected as due to the emergence of higher orders of derivatives and different number of timing dimensions.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128591478","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
Longitudinal electric field: from Maxwell equation to non-locality in time and space 纵向电场:从麦克斯韦方程到时空的非定域性
arXiv: General Physics Pub Date : 2017-05-25 DOI: 10.13140/RG.2.2.16614.01601
S. Trigger
{"title":"Longitudinal electric field: from Maxwell equation to non-locality in time and space","authors":"S. Trigger","doi":"10.13140/RG.2.2.16614.01601","DOIUrl":"https://doi.org/10.13140/RG.2.2.16614.01601","url":null,"abstract":"In this paper we use the classical electrodynamics to show that the Lorenz gauge can be incompatible with some particular solutions of the d Alembert equations for electromagnetic potentials. In its turn, the d Alembert equations for the elec- tromagnetic potentials is the result of application of the Lorenz gauge to general equations for the potentials. The last ones is the straightforward consequence of Maxwell equations. Since the d Alembert equations and the electromagnetic poten- tials are necessary for quantum electrodynamics formulation, one should oblige to satisfy these equations also in classical case. The solution of d Alembert equations, which modifies longitudinal electric field is found. The requirement of this modifi- cation follows from the necessity to satisfy the physical condition of impossibility of instantaneous transferring of interaction in space.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127673276","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
Static traversable wormholes in Lyra manifold 天琴座歧管中的静态可穿越虫洞
arXiv: General Physics Pub Date : 2017-05-16 DOI: 10.1142/S0218271818500244
A. S. Jahromi, H. Moradpour
{"title":"Static traversable wormholes in Lyra manifold","authors":"A. S. Jahromi, H. Moradpour","doi":"10.1142/S0218271818500244","DOIUrl":"https://doi.org/10.1142/S0218271818500244","url":null,"abstract":"At first, considering the Einstein framework, we introduce some new static traversable wormholes, and study the effects of a dark energy-like source on them. Thereinafter, a brief review on Einstein field equations in Lyra manifold is presented, and we address some static traversable wormholes in the Lyra manifold which satisfy the energy-conditions. It is also shown that solutions introduced in the Einstein framework may also meet the energy conditions in the Lyra manifold. Finally, we focus on vacuum Lyra manifold and find some traversable asymptotically flat wormholes. In summary, our study shows that it is theoretically possible to find a Lyra displacement vector field in a manner in which traversable wormholes satisfy the energy conditions in a Lyra manifold.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127979212","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: 14
Anisotropic Universe in $f(mathcal{G},textit{T})$ Gravity 各向异性宇宙$f(mathcal{G},textit{T})$重力
arXiv: General Physics Pub Date : 2017-05-12 DOI: 10.1155/2017/6378904
M. Shamir
{"title":"Anisotropic Universe in $f(mathcal{G},textit{T})$ Gravity","authors":"M. Shamir","doi":"10.1155/2017/6378904","DOIUrl":"https://doi.org/10.1155/2017/6378904","url":null,"abstract":"This paper is devoted to investigate the recently introduced $f(mathcal{G},textit{T})$ theory of gravity, where $mathcal{G}$ is the Gauss-Bonnet term, and ${textit{T}}$ is the trace of the energy-momentum tensor. For this purpose, anisotropic background is chosen and a power law $f(mathcal{G},textit{T})$ gravity model is used to find the exact solutions of field equations. In particular, a general solution is obtained which is further used to reconstruct some important solutions in cosmological contexts. The physical quantities like energy density, pressure, and equation of state parameter are calculated. A Starobinsky Like $f_2(textit{T})$ model is proposed which is used to analyze the behavior of universe for different values of equation of state parameter. It is concluded that presence of term $textit{T}$ in the bivariate function $f(mathcal{G},textit{T})$ may give many cosmologically important solutions of the field equations.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133376035","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: 7
Remarks on Heisenberg-Euler-type electrodynamics 海森堡-欧拉型电动力学评述
arXiv: General Physics Pub Date : 2017-05-11 DOI: 10.1142/S0217732317500924
S. Kruglov
{"title":"Remarks on Heisenberg-Euler-type electrodynamics","authors":"S. Kruglov","doi":"10.1142/S0217732317500924","DOIUrl":"https://doi.org/10.1142/S0217732317500924","url":null,"abstract":"We consider Heisenberg-Euler-type model of nonlinear electrodynamics with two parameters. Heisenberg-Euler electrodynamics is a particular case of this model. Corrections to Coulomb's law at $rrightarrowinfty$ are obtained and energy conditions are studied. The total electrostatic energy of charged particles is finite. The charged black hole solution in the framework of nonlinear electrodynamics is investigated. We find the asymptotic of the metric and mass functions at $rrightarrowinfty$. Corrections to the Reissner-Nordstr\"{o}m solution are obtained.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125916219","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: 24
BPS states of Fourfolds as candidates for Kaluza-Klein modes 作为Kaluza-Klein模态候选者的四重BPS态
arXiv: General Physics Pub Date : 2017-05-07 DOI: 10.14445/23500301/IJAP-V5I1P104
T. Obikhod
{"title":"BPS states of Fourfolds as candidates for Kaluza-Klein modes","authors":"T. Obikhod","doi":"10.14445/23500301/IJAP-V5I1P104","DOIUrl":"https://doi.org/10.14445/23500301/IJAP-V5I1P104","url":null,"abstract":"Within the framework of the cosmological theory of the Big Bang, F-theory that unifies all four types of fundamental interactions is represented. Among the most exciting predictions of physics beyond the Standard Model is the assumption of the space of extra dimensions that solves the hierarchy problem. With the presence of this extra dimensions are connected the searches for Kaluza-Klein partners of gravitons, gauge bosons and microscopic black holes at the LHC. In the framework of F-theory, Calabi-Yau fourfold is considered as a space of extra dimensions. We study the duality between the F-theory compactified on the K3-surface and $E_8times E_8$ heterotic string compactified on the torus, $T^2$. The set of BPS states corresponding to the Calabi-Yau fourfolds, which has either an elliptic curve or a K3-fibration as a layer, is studied in the aspect of correspondence to the KK modes of the M-theory on $R^8times T^2 times S^1 / Z_2$. The singularities of the moduli space of the Calabi-Yau fourfold make it possible to observe massive KK modes, the masses of which are obtained from the M-theory of supergravity. The result is of interest for a theoretical understanding of the KK modes, the experimental searches for which are carried out at the LHC.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"189 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121025336","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
The extra scalar degrees of freedom from the two Higgs doublet model for dark energy 暗能量的两个希格斯双重态模型的额外标量自由度
arXiv: General Physics Pub Date : 2017-04-23 DOI: 10.1142/S0218271817410036
M. Usman, A. Qadir
{"title":"The extra scalar degrees of freedom from the two Higgs doublet model for dark energy","authors":"M. Usman, A. Qadir","doi":"10.1142/S0218271817410036","DOIUrl":"https://doi.org/10.1142/S0218271817410036","url":null,"abstract":"In principle a minimal extension of the standard model of Particle Physics, the two Higgs doublet model, can be invoked to explain the scalar field responsible of dark energy. The two doublets are in general mixed. After diagonalization, the lightest CP-even Higgs and CP-odd Higgs are jointly taken to be the dark energy candidate. The dark energy obtained from Higgs fields in this case is indistinguishable from the cosmological constant.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115095768","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
Thermodynamics of the Fermi gas in a nanotube 纳米管中费米气体的热力学
arXiv: General Physics Pub Date : 2017-04-06 DOI: 10.26565/2312-4334-2017-3-01
Y. Poluektov, A. Soroka
{"title":"Thermodynamics of the Fermi gas in a nanotube","authors":"Y. Poluektov, A. Soroka","doi":"10.26565/2312-4334-2017-3-01","DOIUrl":"https://doi.org/10.26565/2312-4334-2017-3-01","url":null,"abstract":"For the ideal Fermi gas that fills the space inside a cylindrical tube, there are calculated the thermodynamic characteristics in general form for arbitrary temperatures, namely: the thermodynamic potential, energy, entropy, equations of state, heat capacities and compressibilities. All these quantities are expressed through the introduced standard functions and their derivatives. The radius of the tube is considered as an additional thermodynamic variable. It is shown that at low temperatures in the quasi-one-dimensional case the temperature dependencies of the entropy and heat capacities remain linear. The dependencies of the entropy and heat capacities on the chemical potential have sharp maximums at the points where the filling of a new discrete level begins. The character of dependencies of thermodynamic quantities on the tube radius proves to be qualitatively different in the cases of fixed linear and fixed total density. At the fixed linear density these dependencies are monotonous and at the fixed total density they have an oscillating character. Key words: Fermi particle, nanotube, thermodynamic functions, low-dimensional systems, equation of state, heat capacity, compressibility","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122771163","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
Oversights in the Respective Theorems of von Neumann and Bell are Homologous 冯诺依曼定理和贝尔定理中的疏忽是同源的
arXiv: General Physics Pub Date : 2017-04-03 DOI: 10.20944/PREPRINTS202101.0295.V1
J. Christian
{"title":"Oversights in the Respective Theorems of von Neumann and Bell are Homologous","authors":"J. Christian","doi":"10.20944/PREPRINTS202101.0295.V1","DOIUrl":"https://doi.org/10.20944/PREPRINTS202101.0295.V1","url":null,"abstract":"We show that the respective oversights in the von Neumann's general theorem against all hidden variable theories and Bell's theorem against their local-realistic counterparts are homologous. Both theorems unjustifiably assume the additivity of expectation values within hidden variable theories to derive their respective conclusions. However, for non-commuting observables, the equivalence of a sum of expectation values and the expectation value of the sum of measurement results, although respected within quantum mechanics, need not hold for hidden variable theories, regardless of specific characteristics such as local realism they may respect. Once this oversight is ameliorated from Bell's argument and local realism is implemented correctly, the bounds on the CHSH correlator work out to be +/-2/2 instead of +/-2, thereby mitigating the conclusion of Bell's theorem. Consequently, what is ruled out by the Bell-test experiments is not local realism but the additivity of expectation values.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116124092","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: 8
Spin Angular Momentum of Proton Spin Puzzle in Complex Octonion Spaces 复八元空间中质子自旋的角动量问题
arXiv: General Physics Pub Date : 2017-03-10 DOI: 10.1142/S021988781750102X
Zi-Hua Weng
{"title":"Spin Angular Momentum of Proton Spin Puzzle in Complex Octonion Spaces","authors":"Zi-Hua Weng","doi":"10.1142/S021988781750102X","DOIUrl":"https://doi.org/10.1142/S021988781750102X","url":null,"abstract":"The paper focuses on considering some special precessional motions as the spin motions, separating the octonion angular momentum of a proton into six components, elucidating the proton angular momentum in the proton spin puzzle, especially the proton spin, decomposition, quarks and gluons, and polarization and so forth. J. C. Maxwell was the first to use the quaternions to study the electromagnetic fields. Subsequently the complex octonions are utilized to depict the electromagnetic field, gravitational field, and quantum mechanics and so forth. In the complex octonion space, the precessional equilibrium equation infers the angular velocity of precession. The external electromagnetic strength may induce a new precessional motion, generating a new term of angular momentum, even if the orbital angular momentum is zero. This new term of angular momentum can be regarded as the spin angular momentum, and its angular velocity of precession is different from the angular velocity of revolution. The study reveals that the angular momentum of the proton must be separated into more components than ever before. In the proton spin puzzle, the orbital angular momentum and magnetic dipole moment are independent of each other, and they should be measured and calculated respectively.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122950912","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
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