Modern Physics Letters A

We study the quasinormal modes, Hawking radiation and absorption cross-section of the Bardeen black hole surrounded by perfect fluid dark matter for a massless scalar field. Our results show that the oscillation frequency of quasinormal modes is enhanced as magnetic charge $g$ or the dark matter parameter $\alpha$ increases. For damping rate of quasinormal modes, the influence of them is different. Specifically, the increase of dark matter parameter $\alpha$ makes the damping rate increasing at first and then decreasing. While the damping rate is continuously decreasing with the increase of the magnetic charge $g$. Moreover, we find that the increase of the dark matter parameter $\alpha$ enhances the power emission spectrum whereas magnetic charge $g$ suppresses it. This means that the lifespan of black holes increases for smaller value of $\alpha$ and larger value of $g$ when other parameters are fixed. Finally, the absorption cross-section of the considered black hole is calculated with the help of the partial wave approach. Our results suggest that the absorption cross-section decreases with the dark matter parameter $\alpha$ or the magnetic charge $g$ increasing.

Studies of accretion toward black holes are found in the literature where dark energy is chosen to act as the accreting agent. Studies of a dynamical system related to such a phase portrait are also available. In this paper, the central engine is opted to be embedded in a dark energy universe. Footprints of the dark energy equation of state are found in the black hole’s metric chosen by us. Using the pseudo Newtonian method, the force complexity due to relativity is replaced with simplified terms. Dynamical system for a viscous accretion is constructed. Each point of this said system is a three-coordinated tuple presenting radial inward speed, sonic speed and specific angular momenta one after the other. A bent curve of center equilibrium is found. Two planes are seen which are, respectively, attractor and repeller. Every case is physically interpreted. For a viscous accretion onto a dark energy embedded black hole, it is followed that the center equilibrium points are forming a closed curve taking the origin on its own plane. Though the orbit of such a center equilibrium curve keeps only a part of it in the space of discussion.

Under the influence of the deformation space-space symmetries, the improved Mobius square plus generalized Yukawa potentials (IMSGYPs) have been employed to solve the deformed Klien–Gordon equation in three-dimensional noncommutative relativistic quantum space (3D-RNCQS) symmetries. Combined with the approximation approach suggested by Greene and Aldrich, we also employ the parametric Bopp’s shift approach and standard perturbation theory to derive novel relativistic energy eigenvalues. The new relativistic energy eigenvalues of (N₂, K₂, NI, ScI, and RbH) diatomic molecules under the IMSGYPs were shown to be sensitive to the atomic quantum numbers ($j,l,s,m$), the mixed potential depths ($V_0,A,B,C,D,V_1$), the screening parameter’s inverse $\alpha$ and non-commutativity parameters ($\mathrm{\Theta }$, $\beta$, $\zeta$). In addition, we analyzed the new non-relativistic energy values in three-dimensional noncommutative non-relativistic quantum space (3D-NRNCQS) symmetries, by applying the well-known mapping in the literature. Furthermore, we studied many special cases useful to researchers in the framework of the new extended symmetries, such as the newly generalized Mobius square potential, the newly generalized Yukawa potential, and the newly generalized Deng-Fan potential. The study is further extended to calculate the mass spectra of mesons of the heavy quarkonium system, such as $c\overline{c}$, bottomonium $b\overline{b}$, $\overline{b}c$ and light mesons $c\overline{s}$ and $b\overline{s}$, that have the quark and antiquark flavors within the framework of the IMSGYPs model in 3D-NRNCQS symmetries.

Electromagnetism is the energy originating from an electric charge. Our purpose is to enlarge Maxwell and include the charge transfer phenomenology. A four-boson electromagnetism is derived. An electromagnetic (EM) completeness is achieved. The charge’s set $\{+,0,-\}$ is intermediated by a quadruplet $\{A_{\mu },U_{\mu },V_{\mu }^{\pm }\}$. They are the usual photon $A_{\mu }$, massive photon $U_{\mu }$ and charged photons $V_{\mu }^{\pm }$.

A new electric charge symmetry arises. It is ruled by an extended abelian symmetry $U_q\equiv U(1)\times \mathrm{\text{SO}}{(2)}_{\mathrm{\text{global}}}$. It generates a Lagrangian and three distinct Noether equations. An electromagnetism that goes beyond charge-based interactions emerges. Similarly, as mass is related to Newton laws, electric charge corresponds to the symmetry equation. Its associativity is more than being a coupling constant. It holds a field’s flux.

Maxwell is expanded. Ampère, Faraday, and Gauss laws are improved. An abelian nonlinear model is proposed. Nonlinear granular and collective fields strengths were introduced. Potential fields are explicit. Polarization and magnetization vectors are from first principles with new induced Faraday laws. Monopoles depend on fields. Spin-1 and spin-0 sectors are separated covariantly. Uncharged and charged gauge vector fields are unified.

The quadruplet completeness encodes a new EM energy. A journey from Maxwell to photonics is expressed. Seven EM integrated regimes are coursed — Maxwell, systemic, nonlinear, neutral, spintronics, electroweak, and photonics. A new relationship for colliding light–light and light–matter appears. Self-interacting photons are introduced.

This paper is about inertia modified by electromagnetic Abelian gauge transformations. We will establish an experiment proposal in order to control the gravitational acceleration constant near the surface of the planet. We will achieve this goal by establishing a change in electromagnetic gauge in a region of flat spacetime. The change in gauge will be generated by the Aharonov–Bohm effect through the use of a solenoid. The spacetime boosts outside the solenoid caused by the change in electromagnetic gauge will counteract the gravitational acceleration constant $a_g$ attenuating its local value as seen from the planet surface reference frames. Therefore, we will be able to establish local control of gravity on electrically charged particles like electrons in synchrotron motion outside the solenoid.

It is shown that rational extensions of the isotropic Dunkl oscillator in the plane can be obtained by adding some terms either to the radial equation or to the angular one obtained in the polar coordinates approach. In the former case, the isotropic harmonic oscillator is replaced by an isotropic anharmonic one, whose wave functions are expressed in terms of $X_m$-Laguerre exceptional orthogonal polynomials. In the latter, it becomes an anisotropic potential, whose explicit form has been found in the simplest case associated with $X_1$-Jacobi exceptional orthogonal polynomials.

In the background of homogeneous and isotropic flat FLRW spacetime, both classical and quantum cosmologies have been studied for teleparallel dark energy (DE) model. Using Noether symmetry analysis, not only the symmetry vector but also the coupling function in the Lagrangian and the potential of the scalar field have been determined. Also symmetry analysis identifies a cyclic variable in the Lagrangian along the symmetry vector and as a result the Lagrangian simplifies to a great extent so that classical solution is obtained. Subsequently, in quantum cosmology Wheeler–DeWitt (WD) equation has been constructed and the quantum version of the conserved momenta corresponding to Noether symmetry identifies the periodic part of the wave function of the universe and as a result the WD equation becomes solvable. Finally, quantum description shows finite nonzero probability at the classical big bang singularity.

The branching fractions of $\tau \to {\pi }^{+}{\pi }^{-}{\pi }^{-}{\nu }_{\tau }$ and $\tau \to {\pi }^{-}2{\pi }^0{\nu }_{\tau }$ are calculated within the chiral NJL model. Features of the axial-vector $a_1$ meson which play an important role in describing the $\tau$ decays are discussed. Permissible values for the mass and width of the $a_1$ meson are considered in accordance with the latest experiments.