{"title":"QCD(SU(infinite) as a model of infinite dimensional constant gauge field configurations","authors":"L. Botelho","doi":"10.1142/S0217751X17500312","DOIUrl":"https://doi.org/10.1142/S0217751X17500312","url":null,"abstract":"We study and clarify in a reduced dynamical model for QCD(SU(infinite)) (called Bollini-Giambiagi model ) , and defined by constant gauge fields Yang- Mills path integral , several concepts on the validity of the string representation for QCD (SU(infinite)) and the confinement problem","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115434384","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}
{"title":"Geometric Models of Helium","authors":"M. Atiyah","doi":"10.1142/S0217732317500791","DOIUrl":"https://doi.org/10.1142/S0217732317500791","url":null,"abstract":"A previous paper (M.F.Atiyah and N.S.Manton, Complex geometry of nuclei and atoms, arXiv:1609.02816) modelled atoms and their isotopes by complex algebraic surfaces, with the projective plane modelling Hydrogen. In this paper, models of the stable isotopes Helium-4 and Helium-3 are constructed.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115743328","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}
{"title":"Can Lorentz transformations be determined by the null Michelson-Morley result?","authors":"J. Lima, F. D. Sasse","doi":"10.1590/1806-9126-RBEF-2016-0273","DOIUrl":"https://doi.org/10.1590/1806-9126-RBEF-2016-0273","url":null,"abstract":"The so-called principle of relativity is able to fix a general coordinate transformation which differs from the standard Lorentzian form only by an unknown speed which cannot in principle be identified with the light speed. Based on a reanalysis of the Michelson-Morley experiment using this extended transformation we show that such unknown speed is analytically determined regardless of the Maxwell equations and conceptual issues related to synchronization procedures, time and causality definitions. Such a result demonstrates in a pedagogical manner that the constancy of the speed of light does not need to be assumed as a basic postulate of the special relativity theory since it can be directly deduced from an optical experiment in combination with the principle of relativity. The approach presented here provides a simple and insightful derivation of the Lorentz transformations appropriated for an introductory special relativity theory course.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"138 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124673253","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}
{"title":"Generalized Monge gauge","authors":"S. Mazharimousavi, S. Forghani, S. N. Abtahi","doi":"10.1142/S0219887817500621","DOIUrl":"https://doi.org/10.1142/S0219887817500621","url":null,"abstract":"Monge gauge in differential geometry is generalized. The original Monge gauge is based on a surface defined as a height function $h(x,y)$ above a flat reference plane. The total curvature and the Gaussian curvature are found in terms of the height function. Getting benefits from our mathematical knowledge of general relativity, we shall extend the Monge gauge toward more complicated surfaces. Here in this study we consider the height function above a curved surface namely a sphere of radius $R$. The proposed height function is a function of $theta $ and $varphi $ on a closed interval. We find the first, second fundamental forms and the total and Gaussian curvatures in terms of the new height function. Some specific limits are discussed and two illustrative examples are given.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130386317","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}
{"title":"Life in the Rindler Reference Frame: Does a Uniformly Accelerated Charge Radiate? Is There a Bell ‘Paradox’? Is Unruh Effect Real?","authors":"W. A. Rodrigues, J. Vaz","doi":"10.1007/978-3-319-94015-1_13","DOIUrl":"https://doi.org/10.1007/978-3-319-94015-1_13","url":null,"abstract":"","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133980245","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}
{"title":"Could the Lyra manifold be the hidden source of the dark energy","authors":"Kangujam Priyokumar Singh, M. Mollah","doi":"10.1142/S0219887817500633","DOIUrl":"https://doi.org/10.1142/S0219887817500633","url":null,"abstract":"In the course of investigation of our present universe by considering the five-dimensional locally rotationally symmetric (LRS) Bianchi type-I universe with time-dependent deceleration parameters in Lyra manifold, it is excitingly found that the geometry itself of Lyra manifold behaves and consistent with present observational findings for accelerating universe. The behavior of the universes and their contribution to the process of evolution are examined. While studying their physical, dynamical and kinematical properties for different cases, it is found that this model is a new and viable form of model universe containing dark energy. It will be very helpful in explaining the present accelerated expansion behavior of the universe.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114870963","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}
{"title":"Covariant formulation of Aharonov-Bohm electrodynamics and its application to coherent tunnelling","authors":"G. Modanese","doi":"10.1142/9789813232044_0023","DOIUrl":"https://doi.org/10.1142/9789813232044_0023","url":null,"abstract":"The extended electrodynamic theory introduced by Aharonov and Bohm (after an earlier attempt by Ohmura) and recently developed by Van Vlaenderen and Waser, Hively and Giakos, can be re-written and solved in a simple and effective way in the standard covariant 4D formalism. This displays more clearly some of its features. The theory allows a very interesting consistent generalization of the Maxwell equations. In particular, the generalized field equations are compatible with sources (classical, or more likely of quantum nature) for which the continuity/conservation equation $partial_mu j^mu=0$ is not valid everywhere, or is valid only as an average above a certain scale. And yet, remarkably, in the end the observable $F^{mu nu}$ field is still generated by a conserved effective source which we denote as $(j^nu+i^nu)$, being $i^nu$ a suitable non-local function of $j^nu$. This implies that any microscopic violation of the charge continuity condition is \"censored\" at the macroscopic level, although it has real consequences, because it generates a non-Maxwellian component of the field. We consider possible applications of this formalism to condensed-matter systems with macroscopic quantum tunneling. The extended electrodynamics can also be coupled to fractional quantum systems.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125223265","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}
{"title":"Stability analysis for cylindrical Couette flow of compressible fluids","authors":"C. Frønsdal","doi":"10.1063/5.0031200","DOIUrl":"https://doi.org/10.1063/5.0031200","url":null,"abstract":"A new analysis of basic Couette flow, is based on an Action Principle for compressible fluids, with a Hamiltonian as well as a kinetic potential. \u0000An effective criterion for stability recognizes the tensile strength of water. This interpretation relates the problem to capillary action and to metastable configurations (Berthelot's negative pressure experiment of 1850). We calculate the pressure and density profiles and find that the first instability of basic Couette flow is localized near the bubble point. This theoretical prediction has been confirmed by recent experiments. \u0000The theory is the result of merging the two versions of classical hydrodynamics, as advocated by Landau for superfluid Helium II, but here applied to fluids in general, in accord with a widely held opinion concerning superfluidity. \u0000In this paper two-flow dynamics is created by merging two actions, not by choosing between them, nor by combining the two vector fields as in the Navier-Stokes equation . At rest, as contributions to the mass flow they cancel, but a non-zero kinetic energy and kinetic potential as well as non-zero angular momentum remain, manifest as liquid tension, as is well known to exist by observation of the meniscus and configurations with negative pressure. (Fronsdal 2020b in preparation). \u0000This theory gives a very satisfactory characterization of the limit of stability of the most basic Couette flow. The inclusion of a vector field that is not a gradient has the additional affect of introducing spin, which explains a most perplexing experimental discovery: the ability of frozen Helium to remember its angular momentum.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125953652","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}
{"title":"Interacting Chaplygin gas revisited","authors":"S. Saha, Saumya Ghosh, S. Gangopadhyay","doi":"10.1142/S0217732317501097","DOIUrl":"https://doi.org/10.1142/S0217732317501097","url":null,"abstract":"The implications of considering interaction between Chaplygin gas and a barotropic fluid with constant equation of state have been explored. The unique feature of this work is that assuming an interaction $Q propto Hrho_d$, analytic expressions for the energy density and pressure have been derived in terms of the Hypergeometric $_2text{F}_1$ function. It is worthwhile to mention that an interacting Chaplygin gas model was considered in 2006 by Zhang and Zhu, nevertheless, analytic solutions for the continuity equations could not be determined assuming an interaction proportional to $H$ times the sum of the energy densities of Chaplygin gas and dust. Our model can successfully explain the transition from the early decelerating phase to the present phase of cosmic acceleration. Arbitrary choice of the free parameters of our model through trial and error show at recent observational data strongly favors $w_m=0$ and $w_m=-frac{1}{3}$ over the $w_m=frac{1}{3}$ case. Interestingly, the present model also incorporates the transition of dark energy into the phantom domain, however, future deceleration is forbidden.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124902815","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}
{"title":"De Sitter Special Relativity as a Possible Reason for Conformal Symmetry and Confinement in QCD","authors":"Szymon Lukaszyk","doi":"10.52305/RLIT5885","DOIUrl":"https://doi.org/10.52305/RLIT5885","url":null,"abstract":"Conformal symmetry and color confinement in the infrared regime of QCD are attributed to the global properties of a 4D space-time of a deSitter dS4 geometry which, according to the principle of deSitter special relativity, is viable outside the causal Minkowski light cone, where it reigns over the interactions involving the virtual gluon- and quark degrees of freedom of hadrons. Within this scenario, the conformal symmetry of QCD is a direct consequence of the conformal symmetry of the dS4 space- time, while the color confinement appears as a consequence of the innate charge neutrality of the unique closed space-like geodesic on this space, the three dimensional hypersphere S3, also being the unique dS4 sub-manifold suited as a stage for near rest-frame physics. In further making use of the principles of the mathematical discipline of potential theory, and postulating that fundamental interactions are defined by Green functions of Laplace operators on manifolds, taken here as the dS4 geodesics, a color-dipole potential has been derived on S3 whose magnitude, N_calpha_s is the product of the number of colors, N_c, and the strong coupling constant $alpha_s$ in QCD, and pretty much as the amplitude, Zalpha, of the Coulomb interaction following from QED. Hadrons now present themselves as light quarkish color-anticolor \"dumbbells\" in free 4D rotations around their mass centers, equivalent to inertial quantum motions along S3, possibly slightly perturbed by the color-dipole potential from above, attributed to a 4D gluon--anti-gluon \"dumbbell\" , sufficiently heavy to remain static to a good approximation. A description of the spectra of the unflavored mesons within the above scenario allows to extract the alpha_s/pi , value, which we obtain to vary between 0.58 and 0.8, and in accord with data extracted from the spin structure function.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"65 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133110770","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}