Supersymmetric Dyons, Superstrings, and Rotating Wormholes

In this paper, we study the thick brane system in the so-called f(Q) gravity, where the gravitational interaction was encoded by the nonmetricity Q like scalar curvature R in general relativity. With a special choice of f(Q)=Q-b Q^n, we find that the thick brane system can be solved analytically with the first-order formalism, where the complicated second-order differential equation is transformed to several first-order differential equations. Moreover, the stability of the thick brane system under tensor perturbation is also investigated. It is shown that the tachyonic states are absent and the graviton zero mode can be localized on the brane. Thus, the four-dimensional Newtonian potential can be recovered at low energy. Besides, the corrections of the massive graviton Kaluza–Klein modes to the Newtonian potential are also analyzed briefly.

Four-dimensional supersymmetric dyonic black holes in eleven-dimensional supergravity

The advent of gravitational wave (GW) astronomy has provided a new window through which to view and understand the Universe. To fully exploit the potential of GW astronomy, an understanding of all the potential electromagnetic counterparts to a gravitational wave detected source will help maximise the science returns. Here I present a study of the electromagnetic emission from relativistic jets that accompany the merger of binary neutron stars or black hole-neutron star systems. These counterparts provide a probe for the structure and dynamics of these relativistic outflows. Binary neutron star, or neutron star-black hole, mergers are thought to be the dominant progenitor of short gamma-ray bursts (GRBs). Here we investigate the possibility that there is a hidden population of low-Lorentz factor jets resulting in failed GRBs, on-axis orphan afterglows, and what kind of counterparts can be expected given a merger-jet population dominated by these failed-GRB jets. I find that for GW detected mergers, ∼ 80% of the population of on-axis events may result in a failed GRB afterglow. The afterglow of a failed GRB is characterised by the lack of any prompt emission; where the γ-rays are emitted within an optically thick region of the low-Lorentz factor (Γ) outflow and significant suppression via pair production and a high opacity results in the photons coupled to the pair plasma. This plasma will undergo adiabatic expansion, and the photons will decouple at the photospheric radius. The energy in the prompt photons, for a sufficiently low-Γ outflow, will have been significantly suppressed. GW detected mergers have a Malmquist bias towards on-axis events (i.e. the rotational axis of the system), where the peak of the probability distribution is an inclination ∼ 30⁰. If the jets from these mergers have an intrinsic structure out to wider angles, then the majority of mergers will be accompanied by electromagnetic counterparts from these various jet structures. By making some simple assumptions about the energetic structure of a jet outside of a bright core region, the various temporal features that result from a given jet structure can be predicted. Where the population of merger jets is dominated by a single structure model, I show the expected fractions of optical counterparts brighter than m_AB = 21. On 17 August 2017, the Light Interferometer Gravitational Wave Observatory (LIGO) in collaboration with Virgo detected the merger of a binary neutron star system. Various electromagnetic counterparts were detected: the GRB 170817A by Fermi/GBM and INTEGRAL; an optical, blue to red, macro/kilo-nova from ∼ 1/2 day post merger to ∼ 5 − 10 days; and a brightening radio, and X-ray counterpart from ∼ 10 days. Optical detection of this counterpart at a magnitude ∼ 26 was made at ∼ 100 days post-merger. Analysis of this counterpart is consistent with the afterglow of a Gaussian structured jet viewed at the system inclination, ∼ 18 ± 8⁰. If all short GRB jets have a similar jet structure, then the rates of orphan afterglows in deep drilling blind surveys e.g. the Large Synoptic Survey Telescope (LSST), will be higher than those expected from a homogeneous, or ‘top-hat’ jet, population. The rates for the various jet structures for orphan afterglows from mergers are discussed, showing that for a population of failed GRBs, or an intrinsic Gaussian structure, an excess in the orphan rate may be apparent. Understanding the dynamics and structure for the jets from black-hole systems born at the merger of a compact binary can help give clues as to the nature of jets from black holes on all scales. As an aside, I show empirically that regardless of black hole mass or system phenomenology, the relativistic jets from such systems share a universal scaling for the jet power and emitted γ-ray luminosity. This scaling could be due to the similar efficiencies of various processes, or alternatively, the scaling may be able to give insights into the emission and physical processes that are responsible for high-energy photons from these outflows. GW astronomy offers a probe of the most extreme relativistic outflows in the Universe, GRBs. The predicted electromagnetic counterparts from these outflows, in association with GW detections, provides a way to probe the Lorentz-factor distribution for merger-jets. Additionally, the phenomenological shape of the afterglows, at various inclinations, gives an indication of the intrinsic structure of these jets. An understanding of these dynamical and structural qualities can be used to constrain the parent population, merger rates, and binary evolution models for compact binary systems.

Newton's law of gravity is a logical error of circular argument. Mass in the physical sense does not exist. Gravitational force is an electromagnetic force generated by induced-polarised charges on the surface of an object after it has been electrized. Gravity follows the same laws as electromagnetism. Galaxies are a structure of matter, not a pattern of motion. There is no dark matter in galaxies. Galaxies are like magnetic monopoles and repel each other. There is no dark energy in the universe. Objects have only charge properties. There is only electromagnetism in the universe, and electromagnetism manifests itself only on the surfaces of objects. The universe is unified by the electromagnetic force.

In this article*, as a new mathematical approach to origin of the laws of nature, using a new basic algebraic axiomatic (matrix) formalism based on the ring theory and Clifford algebras (presented in Sec.2), “it is shown that certain mathematical forms of fundamental laws of nature, including laws governing the fundamental forces of nature (represented by a set of two definite classes of general covariant massive field equations, with new matrix formalisms), are derived uniquely from only a very few axioms”; where in agreement with the rational Lorentz group, it is also basically assumed that the components of relativistic energy-momentum can only take rational values. In essence, the main scheme of this new mathematical axiomatic approach to fundamental laws of nature is as follows. First based on the assumption of rationality of D-momentum, by linearization (along with a parameterization procedure) of the Lorentz invariant energy-momentum quadratic relation, a unique set of Lorentz invariant systems of homogeneous linear equations (with matrix formalisms compatible with certain Clifford, and symmetric algebras) is derived. Then by first quantization (followed by a basic procedure of minimal coupling to space-time geometry) of these determined systems of linear equations, a set of two classes of general covariant massive (tensor) field equations (with matrix formalisms compatible with certain Clifford, and Weyl algebras) is derived uniquely as well. Each class of the derived general covariant field equations also includes a definite form of torsion field appeared as generator of the corresponding field’ invariant mass. In addition, it is shown that the (1+3)-dimensional cases of two classes of derived field equations represent a new general covariant massive formalism of bispinor fields of spin-2, and spin-1 particles, respectively. In fact, these uniquely determined bispinor fields represent a unique set of new generalized massive forms of the laws governing the fundamental forces of nature, including the Einstein (gravitational), Maxwell (electromagnetic) and Yang-Mills (nuclear) field equations. Moreover, it is also shown that the (1+2)-dimensional cases of two classes of these field equations represent a new general covariant massive formalism of bispinor fields of spin-3/2 and spin-1/2 particles, corresponding (asymptotically) to the Dirac and Rarita–Schwinger equations. As a particular consequence, it is shown that a certain massive formalism of general relativity – with a definite form of torsion field appeared originally as the generator of gravitational field’s invariant mass – is obtained only by first quantization (followed by a basic procedure of minimal coupling to space-time geometry) of a certain set of special relativistic algebraic matrix equations. In addition, in agreement with recent astronomical data, a new particular form of massive particle is identified (as the gauge boson of U(1) symmetry group) with invariant mass: m_γ ≈ 4.90571×10^-50 kg, which is generated by a definite coupled torsion field of the background space-time geometry. Moreover, based on the definite mathematical formalism of this axiomatic approach, along with the C, P and T symmetries (represented basically by the corresponding quantum operators) of the fundamentally derived field equations, it has been concluded that the universe could be realized solely with the (1+2) and (1+3)-dimensional space-times (where this conclusion, in particular, is based on the T-symmetry of these equations). It is shown that CPT is the only combined form of C, P, and T symmetries of interacting fields. In addition, on the basis of these discrete symmetries of derived field equations, it has been also shown that only left-handed particle fields (along with their complementary right-handed fields) could be coupled to the corresponding (any) source currents. Furthermore, it has been shown that the metric of background space-time is diagonalized for the uniquely derived fermion field equations (defined and expressed solely in (1+2)-dimensional space-time), where this property generates a certain set of additional symmetries corresponding uniquely to the "SU(2)_L⊗U(2)_R" symmetry group for spin-1/2 fermion fields (representing “1+3” generations of four fermions, including a group of eight leptons and a group of eight quarks), and also the "SU(2)_L⊗U(2)_R" and SU(3) gauge symmetry groups for spin-1 boson fields coupled to the spin-1/2 fermionic source currents. Hence, along with the known elementary particles, eight new elementary particles, including four new charge-less right-handed spin-1/2 fermions (including two leptons and two quarks), a spin-3/2 fermion, and also three new spin-1 (massive) bosons are predicted uniquely by this new mathematical axiomatic approach. As a particular result, based on the definite formulation of the derived Maxwell (and Yang-Mills) field equations, it has been also concluded that magnetic monopoles could not exist in nature.* *Note: "See also new published version of this article at: https://inspirehep.net/record/1387680/ ”. Comments: 90 Pages. A summary of a submitted and accepted research project (On "Foundations of Physics"), Ramin Zahedi, Japan, 2012 - 2015. This article has been invited and presented at the following international conferences: - The 2016 SIAM International Conference on Mathematical Aspects of Materials Science, Philadelphia, USA, 2016. (https://www.siam.org/meetings/ms16) - The 17th International Conference on Quantum Foundations: Quantum and Beyond, International Centre for Mathematical Modeling in Physics, Engineering and Cognitive Sciences (ICMM), Linnaeus University, Sweden, 2016. (https://lnu.se/en/qb/) -The 4th International Conference on New Frontiers in Physics, CERN Organized and Supported Conference (Europe), ICNFP-2015. (https://indico.cern.ch/e/icnfp2015/) - The 2016 International Conference on Algebraic Geometry and Mathematical Physics, University of Tromsø, Norway, 2016. (https://site.uit.no/) - The XXXVII Max Born International Symposium, International Conference on Non-commutative Geometry, Quantum Symmetries and Quantum Gravity (II), Wroclaw University, Poland, 2016. (http://ift.uni.wroc.pl/~mborn37/) - The 2016 GRavitational-wave Astronomy International Conference in Paris, Institute d‘Astrophysique de Paris (IAP), The University of Paris VI - Sorbonne University, CNRS, LERU, EUA, Paris, France, 'Supported by the European Union's 7th Framework Program: FP7/PEOPLE-2011-CIG,‘ 2016. (http://www.iap.fr/vie_scientifique/ateliers/GravitationalWave/2016/scripts/abstract.aspx) - The 22nd Internnational Australian Institute of Physics Congress (AIP), University of Queensland, Brisbane, Australia, 2016. (http://appc-aip2016.org.au) - The 21st International Conference on General Relativity and Gravitation, Columbia University, New York, USA, 2016. (http://www.gr21.org). External URLs (including preprints and earlier published versions of this research article): https://cds.cern.ch/record/1980381/ , https://inspirehep.net/record/1387680/, https://indico.cern.ch/event/344173/session/22/contribution/422/attachments/1140145/1646101/R.a.Zahedi--OnDiscretePhysics-Jan.2015-signed.pdf, http://eprints.lib.hokudai.ac.jp/dspace/handle/2115/59279/, https://core.ac.uk/display/41879427, http://www.gr21.org/GR21FullAbstractBooklet.pdf#section*.177, https://dx.doi.org/10.17605/OSF.IO/ZCHTP, https://dumas.ccsd.cnrs.fr/TDS-MACS/hal-01476703 , https://indico.cern.ch/event/344173/contribution/1740565/attachments/1140145/1726912/R.A.Zahedi--Forces.of.Nature.Laws-Jan.2015-signed.pdf , http://mts-ncomms.nature.com/ncomms_files/2017/07/10/00136200/00/136200_0_art_file_2445656_bsw9c4.pdf .

Although recent studies have brought new insight into the mechanisms of spatial memory and cognitive strategies during navigation, most of these studies have concerned two-dimensional navigation and little is known regarding the problem of three-dimensional (3D) spatial memory. We found previously that memorizing complex 3D-structured corridors was easier with natural self-motion that included only yaw turns, and vertical translations facing the walls at vertical sections. This suggests that when only sideways (yaw) mental rotations had to be performed in order to shift from the experienced egocentric to the allocentric reference frame where recognition was tested, memorization of such corridors was improved. In the present investigation we studied the effect of tilting separately subject's body axis and self-motion's rotation axis relative to gravity. With a computerized 3D reconstruction task of the maze, we examined whether having any single rotation axis was enough to facilitate this reference shift o...

The effect of a slight non-uniformity in the angular velocity on the local gravitational instability of a stellar system is investigated in the case when the disturbance is a plane wave with the wave vector parallel to the axis of rotation. The system is supposed to be in such an equilibrium state that the gravitational force is balanced by the centrifugal force. The wavelength of the disturbance is assumed to be so short that a local treatment may provide a good approximation. It is shown that the system will become unstable under the following conditions; k 2 < 2 1 + d l n Ω d l n R Ω 2 σ 2 where k is the wave number of the disturbance, Ω(R) the equilibrium angular velocity, R the distance of the reference point from the axis of rotation, and σ the velocity dispersion of stars.

The self-consistent and “conserving” (in particular the total spin is conserved) approximation scheme, developed in a previous paper for itinerant ferromagnetism, is extended to the region below the phase-transition point. The former general condition for the transformation properties of any approximate self-energy part with regard to infinitesimal transformations in spin space is applied to the case where the transformation is a finite rotation in spin space; these rotations correspond to rotations of the direction of the spontaneous magnetization which is fixed here by an infinitesimal auxiliary fieldH. This transformation property of the self-energy part ensures that the equations determining the corresponding Green's and correlation functions are covariant in form with respect to rotations ofH. Two examples are considered: the “Hartree-Fock” and the “particle-hole T-matrix” approximations for the contact interaction or Hubbard model. In the first example the resulting susceptibilities are shown to be causal response functions, provided the Stoner equation is fulfilled. In the second example the self-energy part and theT matrix are discussed for the two cases whereH is parallel and perpendicular to the axis of spin quantization. In fact, these expressions can be transformed into each other by means of the corresponding rotation matrix in spin space.

The scientific achievements of the Cassini-Huygens mission have been based on previous decades of investigations from ground-based observations, an intensive 2-year time span of exploration by three spacecraft (Pioneer Saturn, Voyagers 1 and 2) in 1979–1981, and observations by the Infrared Space Observatory, the International Ultraviolet Explorer, and Hubble Space Telescope. We review both these and research concurrent with the nominal mission which often provided directly supporting results. Saturn's “bulk” composition remains uncertain. Its few discrete cloud features include a hexagon near the sorth pole, and a major episodic storm at the equator. A heterogeneous cloud field at depth was uncovered at 5 μm. Temperatures are enhanced at Saturn's south pole both from seasonal variations of sunlight and from dynamical forcing. Zonal winds peak near Saturn's equator. Saturn possesses a well-defined ionosphere, but with significant structure and variability. The magnetic field is aligned to within a degree of Saturn's rotation axis. An equatorial ring current of ~107 A has been inferred, with inner and outer radii of ~8 and ~16RS. Radiation belts at Saturn are well-established up to the edge of the outer rings, and the higherenergy (>1 meV) proton component is readily absorbed by the inner satellites. The magnetosphere includes both a well-developed plasma sheet and a magneto-tail. Radio emissions and plasma waves exist throughout, and the auroral kilometric radiation (SKR), modulated at 10 h 39.4 min, has been widely adopted as a measure of the internal rotation. The plasma population consists principally of protons, but with a heavier component close to the equatorial plane widely assumed to be nitrogen or oxygen. Saturn's ring system is the most accessible in the solar system and consists of three primary components, the A, B and C rings. The A ring contains a large number of spiral density wages generated by gravitational interactions with Saturn's satellites. Other rings include the tenuous D, E, and G rings, and the narrow F ring. Voyager imaging detected “spokes” in the rings and, through occultation studies, an intricate detailed radial structure. Spectroscopic information on the icy satellites reveals the presence of crystalline water ice, mixed with a non-ice surface component with strong UV absorption. Detailed information on the geology of Saturn's eight largest icy satellites before the Cassini arrival was based entirely on Voyager observations. They were found to be surprisingly heterogeneous, with implied internal activity in Ence-ladus and the dichotomous albedo of Iapetus being two of the biggest mysteries. Among the smaller satellites are those embedded in Saturn's rings and irregular captured satellites outside the orbits of the co-planar satellites.

A variational estimate of the free energy of a quantum spin chain based on the stochastic behavior of the quantization axes is proposed. It allows a description of the nonlinear excitations and quantum spin waves within the same framework. For an easy-plane ferromagnet with an external field in the plane it reveals that the nonlinear excitations (solitons) are predominantly described by the classical degrees of freedom. Considerable effort has been devoted to the theoretical description1 and experimental verification of the existence of nonlinear excitations. In this field magnetic chain systems have played an important part.2 Chain systems with an easy-plane anisotropy, such as (C6 H11 NH3 )CuBr3 (CHAB) and CsNiF3 , which are subjected to a symmetry breaking field, were found to be soliton bearing.3 Theoretically the description of the nonlinear effect is based on the mapping of the spin dynamics on a sine-Gordon model. Further research4 indicated that the interpretation of the thermodynamical properties of real systems in terms of the sine-Gordon model required however quantum and anisotropy corrections. Since the dipolar interactions between the spins in the chain are considered to be negligible, the direction of the spin chain in configuration space with respect to any preferred direction in spin space does not enter explicitly in the Hamiltonian. This makes it interesting to define a site-dependent z direction in spin space which makes an angle (Θn ,φn ) with the z direction in configuration space. The model Hamiltonian can then be written in terms of the spin operators defined with respect to the site-dependent quantization axis. The representation with equal quantization axis for all the sites is related to the representation with different quantization axes at each site by a rotation in spin space. The unitary transformation that describes the rotation contains the angles (Θn ,φn ), which we have treated as random variables. Based on this observation we have proposed a new variational approach for the quantum spin chain. We will outline the main results here. A full account is published elsewhere.5 In our approach the free energy of the system can be separated in a quantum part and a classical part. The free energy F of the chain is then approximated by an upper bound F<Fcl +Fqm , where βFcl =−ln[E(exp−βVcl )] and βFqm =−ln Tr(exp−β〈Hqm 〉). The first part is a configurational classical free energy, depending on the choice of the probability distribution for the quantization axes via the expectation E. The second contribution is the free energy of a modified quantum chain, whose parameters are classical averages and can be obtained from the configurational classical free energy. For easy-plane ferromagnetic chains, the nonlinear excitations are comprised in the classical part, whereas the quantum part contains predominantly linear excitations. For those thermodynamical quantities that are insensitive to the contribution of the quantum excitations, the chain is thermodynamically equivalent with a classical sine-Gordon system. The out-of-plane corrections are incorporated in the quantum part of the free energy. This behavior is corroborated experimentally by measurements of the excess heat capacity of CHAB for different magnetic fields with the same in-plane component.6 The validity of our approach is, however, not restricted to easy-plane ferromagnetic chains. Also for more complex systems with, for example, an orthorhombic or helical symmetry, the introduction of stochastic quantization axes can shed new light on some of the thermodynamical properties of these quantum systems in terms of their classical equivalent.

Taking the generalized uncertainty principle into account, we apply the corrected state density and brick-wall method to calculate the entropy of a novel four-dimensional Gauss-Bonnet black hole surrounded by an arbitrary field with spin . It is shown that the leading and logarithmic terms of the entropy are respectively modified by the quantum gravity effect and spin of the field. Meanwhile, the correction coming from gravitational interaction has the same form as the leading term, that is, they all are proportional to the horizon area and inversely proportional to the gravity correction factor. The ratio of the correction term to the leading one is respectively −5/7 and −1395/1764 for Bose and Fermi cases, where negative sign means that the effect of quantum gravity decreases the entropy. It is very interesting that these proportion values are independent of the black hole characteristics.

The paper deals with the steady axially symmetric flow of a viscous liquid layer over a rotating disk. The liquid is fed near the axis of rotation and spreads due to inertia and the centrifugal force. The viscous shallow-water approach gives a system of ordinary differential equations governing the flow. We consider inertia, gravity, centrifugal and Coriolis forces and estimate the effect of surface tension. We found four qualitatively different flow regimes. Transition through these regimes shows the continuous evolution of the flow structure from a hydraulic jump on a static disk to a monotonic thickness decrease on a fast rotating one. We show that, in the absence of surface tension, the intensity of the jump gradually vanishes at a finite distance from the axis of rotation while the angular velocity increases. The surface tension decreases the jump radius and destroys the steady solution for a certain range of parameters.

Oscillatory convection induced by gravity and centrifugal forces in a rotating porous layer distant from the axis of rotation

We experimentally observe the decay dynamics of deterministically created isolated monopoles in spin-1 Bose-Einstein condensates. As the condensate undergoes a change between magnetic phases, the isolated monopole gradually evolves into a spin configuration hosting a Dirac monopole in its synthetic magnetic field. We characterize in detail the Dirac monopole by measuring the particle densities of the spin states projected along different quantization axes. Importantly, we observe the spontaneous emergence of nodal lines in the condensate density that accompany the Dirac monopole. We also demonstrate that the monopole decay accelerates in weaker magnetic field gradients.

In this paper the instability of a thin fluid film flowing under the effects of gravity, Coriolis, and centrifugal forces is investigated. It is supposed that the film flows far from the axis of rotation on a plane which may be horizontal or inclined with respect to the horizontal. In the former case, the flow is only driven by the centrifugal force while in the latter case, the flow is driven by the components of centrifugal force and gravity along the plane. This case may also be considered as the flow down a rotating cone but far from the apex. The stabilizing influence of rotation on the film flow increases with the rotation rate. Up to a certain critical rate of rotation, the film flowing down the rotating inclined plane (or cone) is more stable than the flow on the horizontal rotating plane while above this rate of rotation the situation is reversed. The instability above the critical rate is associated with a finite wave number in contrast to the vanishing wave number of the instability below the critical rate. The possibility of Ekman layer instabilities is also investigated. An equation describing the nonlinear evolution of surface waves is also obtained. Moreover, this equation is simplified for the case in which the amplitudes are very small. An equation including dissipation as well as dispersion is derived whose solutions may possess solitary waves, as in the case of similar equations considered in the literature. These solutions are likely to correspond to the solitary spiral waves observed in experiments.