# Physics - General Physics Publications (50)

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## Physics - General Physics Publications

A tree-dimensional transformation for a rotating coordinate system is found in application to the Dirac equation. The Pauli equation is extracted from the Dirac equation in this coordinate system always possesses an anomalous magnetic moment. In this interpretation, the g-factor of the anomalous magnetic moment is equal to the constant in the 3D transformation for the rotating coordinate system. Read More

We consider in the paper axially-symmetric and stationary fields and cylindrically symmetric gravito-electromagnetic waves in the Nonsymmetric Kaluza-Klein Theory.Using symbollic manipulations we write down all important quantities in the theory. We write field equations for both cases and partially integrate them. Read More

In this paper, we have explored the effects of dissipation on the dynamics of charged bulk viscous collapsing cylindrical source which allows the out follow of heat flux in the form of radiations. Misner-Sharp formulism has been implemented to drive the dynamical equation in term of proper time and radial derivatives. We have investigated the effects of charge and bulk viscosity on the dynamics of collapsing cylinder. Read More

This paper discusses a generalized model for compact stars, assumed to be anisotropic in nature due to the spherical symmetry and high density. After embedding the four-dimensional spacetime in a five-dimensional flat spacetime, which may be treated as an alternative to Karmarkar's condition of embedding class 1 spacetime, the Einstein field equations were solved by employing a class of physically acceptable metric functions proposed by Lake \cite{Lake2003}. The physical properties determined include the anisotropic factor showing that the anisotropy is zero at the center and maximal at the surface. Read More

It has been found that a model of extended electrons is more suited to describe theoretical simulations and experimental results obtained via scanning tunnelling microscopes, but while the dynamic properties are easily incorporated, magnetic properties, and in particular electron spin properties pose a problem due to their conceived isotropy in the absence of measurement. The spin of an electron reacts with a magnetic field and thus has the properties of a vector. However, electron spin is also isotropic, suggesting that it does not have the properties of a vector. Read More

The exact analytic solution of the Cauchy problem in unbounded space is obtained for the three-dimensional Euler-Helmholtz (EH) equation in the case of a nonzero-divergence velocity field. The solution obtained describes the inertial vortex motion of an ideal compressible medium and coincides with the exact solution to the three-dimensional Riemann-Hopf (RH) equation which simulates turbulence without pressure [Chefranov, 1991]. A necessary and sufficient condition of the onset of a singularity in the evolution of the enstrophy in finite time t=t_0 is obtained for this solution when its continuation is possible in times t>=t_0 in the Sobolev space H^0(R^3) but cannot be made in H^1(R^3). Read More

In the first part of this paper we present the Glashow-Salam-Weiberg model of the electroweak interactions. In the second part we present an alternative point of view which is based on the existence of the electrostatic energy of a homogeneously charged particle. In order to be generated massive leptons we multiply the Lagrangian -mtimes psibar timespsi by a factor which transform it into a gauge invariant term. Read More

This paper concerns the role of mass and angular momentum of massive vector and scalar particles to the Hawking temperature manifested under the effects of generalized uncertainty principle (GUP). In particular we calculate the Hawking temperature from a black hole in a warped DGP gravity model in the framework of quantum tunneling method. We use the modified Proca and Klein-Gordon equations previously recovered from the GUP lagrangian in the spacetime background of a warped DGP metric with the help of Hamilton-Jacobi (HJ) and semi-classical (WKB) approximation methods. Read More

The possibility of calculation of the conditional and unconditional complexity of description of information objects in the algorithmic theory of information is connected with the limitations for the set of the used languages of programming (description). The results of calculation of the conditional complexity allow introducing the fundamental information dimensions and the partial ordering in the set of information objects, and the requirement of equality of languages allows introducing the vector space. In case of optimum compression, the "prefix" contains the regular part of the information about the object, and is analogous to the classical trajectory of a material point in the physical space, and the "suffix" contains the random part of the information, the quantity of which is analogous to the physical time in the intrinsic reference system. Read More

LRS (Locally Rotationally symmetric) Bianchi type-I magnetized strange quark matter cosmological model have been studied based on $f(R,T)$ gravity. The exact solutions of the field equations are derived with linearly time varying deceleration parameter which is consistent with observational data (from SNIa, BAO and CMB) of standard cosmology. It is observed that the model start with big bang and ends with a Big Rip. Read More

The onset of turbulence in laminar flow of viscous fluids is shown to be a consequence of the limited capacity of the fluid to withstand shear stress. This fact is exploited to predict the flow velocity at which laminar flow becomes turbulent and to calculate, on a theoretical basis, the corresponding critical value of the Reynolds number. A constitutive property essential to the present analysis is the ultimate shear stress of the fluid. Read More

We extend the superconductor's free energy to include an interaction of the order parameter with the curvature of space-time. This interaction leads to geometry dependent coherence length and Ginzburg-Landau parameter which suggests that the curvature of space-time can change the superconductor's type. The curvature of space-time doesn't affect the ideal diamagnetism of the superconductor but acts as chemical potential. Read More

The mathematical logic of a true nature of mirror symmetry expresses, in the case of the Dirac Lagrangian, the ideas of the left- and right-handed photons referring to long- and short-lived particles, respectively. Such a difference in lifetimes says about the photons of the different components having the unidentical masses, energies, and momenta. This requires the generalization of the classical Klein-Gordon equation to the case of all types of bosons with a nonzero spin. Read More

The machining process is the most common method for metal cutting, and especially in the finishing of machined parts. In modern industry the goal of production is to manufacture products at a low cost, with high quality in the shortest time. In this research different biomaterials, machinability properties, surface characteristics, cutting tools, cutting fluids and machining conditions for biomaterials with machinability capability are reviewed. Read More

Within the \LambdaCDM paradigm, the HLSS model (arXiv:1301.0304) accounts for the MOND acceleration threshold a_{0}\approx1.2\times10^{-8} cm/sec^{2} and the (V_{observed}/V_{Newtonian}) relation Read More

We show that a Morse type potential simulates an analytic solution for the highly non-linear global monopole field equation in three and higher dimensional flat spacetimes. Owing to the fact that in the flat space limit the similar equation remains intact we wish to borrow the curved space terminology of global monopole also in flat spacetime. This may provide a compelling example that can be used effectively in different non-linear theories such as flat space $\phi ^{4},$ as well as in curved spacetimes. Read More

Postulating that spacetime is discrete, we assume that physical space is described by a 3-dimensional cubic lattice.The corresponding symmetry group of rotations has order 24 and motivates the introduction of a cubic shaped graph with 27 vertices and 351 edges. We call this graph the elementary particle cube (EPC) and consider the vertices as tiny cells that pre-elementary particles called preons can occupy and the edges as interactions between preons. Read More

It is argued that many of the problems and ambiguities of standard cosmology derive from a single one: violation of the conservation of energy in the standard paradigm. From a relational expression of the kinetic energy between two particles, due to Schroedinger, one can derive a Machian energy equation of the expanding Universe [1], which in fact is the Friedmann equation. It turns out that conservation of total Machian energy has some intriguing consequences. Read More

Pandres has developed a theory which extends the geometrical structure of a real four-dimensional space-time via a field of orthonormal tetrads with an enlarged covariance group. This new group, called the conservation group, contains the group of diffeomorphisms as a proper subgroup and we hypothesize that it is the foundational group for quantum geometry. Using the curvature vector, $C_\mu$, we find a free-field Lagrangian density $C^\mu C_\mu \sqrt{-g}\,$. Read More

A monistic framework is set up where energy is the only fundamental substance. Different states of energy are ordered by a set of scalar qunatum-phase-fields. The dual elements of matter, mass and space, are described as volume- and gradient-energy contributions of the set of fields, respectively. Read More

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. Read More

An inner de Sitter region is glued smoothly and consistently with an outer Reissner-Nordstr\"{o}m (RN) spacetime on a spherical thin-shell. Mass and charge of the outer RN spacetime are defined by the de Sitter and shell parameters. Radius of the shell plays the role of a cut-off which by virtue of regular de Sitter inside removes the singularity at $r=0. Read More

In this paper a type D breakdown of the Navier Stokes (NS) in d=3 is demonstrated. The element of the breakdown also occurs in the Euler equation. We consider the fact that in d=2 Ladyzhenskaya found a generalized type B solution. Read More

A classical theory of general relativity in the four-dimensional space-time is formulated as the Chern--Simons topological theory. A canonical quantization of the system is performed using the Nakanishi--Kugo--Ojima formalism. As a consequence, the positivity of the physical states and the unitarity of the transition matrix are ensured by the Kugo--Ojima theorem. Read More

On spacetimes that are not time orientable we construct a U(1) bundle to measure the twisting of the time axis. This single assumption, and simple construction, gives rise to Maxwell's equations of electromagnetism, the Lorentz force law and the Einstein-Maxwell equations for electromagnetism coupled to General relativity. The derivations follow the Kaluza Klein theory, but with the constraints required for connections on a U(1) bundle rather than five spacetime dimensions. Read More

We show, in the case of a special dipolar source, that electromagnetic fields in fractional quantum mechanics have an unexpected space dependence: propagating fields may have non-transverse components, and the distinction between near-field zone and wave zone is blurred. We employ an extension of Maxwell theory, Aharonov-Bohm electrodynamics, which is compatible with currents $j^\nu$ conserved globally but not locally, we have derived in another work the field equation $\partial_\mu F^{\mu \nu}=j^\nu+i^\nu$, where $i^\nu$ is a non-local function of $j^\nu$, called "secondary current". Y. Read More

A charged, non-rotating, spherically symmetric black hole which has cosmological constant $\Lambda$ (Reissner-Nordstr\"om+$\Lambda$ or RN+$\Lambda$), active gravitational mass $M$ and electric charge $Q$ is studied with exterior Friedman-Robertson-Walker (FRW) universe in (2+1) dimensional spacetime. We find a new classes of exact solutions of the charged black hole where the generalized Birkoff's theorem is assumed to be valid. It is found that the cosmological constant is negative inside the black hole. Read More

Hamiltonian matrices appear in a variety or problems in physics and engineering, mostly related to the time evolution of linear dynamical systems as for instance in ion beam optics. The time evolution is given by symplectic transfer matrices which are the exponentials of the corresponding Hamiltonian matrices. We describe a method to compute analytic formulas for the matrix exponentials of Hamiltonian matrices of dimensions $4\times 4$ and $6\times 6$. Read More

The intriguing connection between Black holes' evaporation and the physics of solitons is opening novel roads to finding observable phenomena. In particular, due to the recent observation of gravitational waves, Hawking radiation of moving black holes is one of the first candidates to investigate. However, a theoretical context for the description of this phenomenon is still lacking. Read More

Dwarf satellite galaxies of the Milky Way appear to be gravitationally bound, but their stars' orbital motion seems too fast to allow this given their visible mass. This is akin to the larger-scale galaxy rotation problem. In this paper, a modification of inertia called quantised inertia or MiHsC (Modified inertia due to a Hubble-scale Casimir effect) which correctly predicts larger galaxy rotations without dark matter is tested on eleven dwarf satellite galaxies of the Milky Way, for which mass and velocity data are available. Read More

A new unification theory of both the all fundamental physics interactions and Noether theorem is naturally given. The Lagrangians of the well-known fundamental physics interactions are unifiedly deduced from the quantitative causal principle (QCP) and satisfy the gauge invariant principle of general gauge fields interacting with Ferimion and/or boson fields. The geometry and physics meanings of gauge invariant property of different physical systems are revealed, and it is di\textbf{s}covered that all the Lagrangians of the well-known fundamental physics interaction% \textbf{s} are composed of the invariant quantities in corresponding spacetime structures. Read More

A minus sign is inserted, for good reason, into the formula for the Energy-Momentum Tensor for tachyons. This leads to remarkable theoretical consequences and a plausible explanation for the phenomenon called Dark Energy in the cosmos. Read More

Following the B. Hiley belief that unresolved problems of conventional quantum mechanics could be the result of a wrong mathematical structure, an alternative basic structure is suggested. Critical part of the structure is modification of the sense of commonly used terms state, observable, measurement giving them a clear unambiguous definition. Read More

A modified Gibbs's rotation matrix is derived and the connection with the Euler angles, quaternions, and Cayley$-$Klein parameters is established. As particular cases, the Rodrigues and Gibbs parameterizations of the rotation are obtained. The composition law of two rotations from the quaternion representation is presented showing a convenient expression for calculating the successive rotations. Read More

The existence of the Higgs particle necessarily implies in the inclusion of Einstein's gravitational field in the standard model of interactions. It also implies in the existence of a new massive, spin-2, weakly interacting field of geometrical nature, acting as a short range carrier of Einstein's gravitation. Read More

The motion of a massive particle in Rindler space has been studied and obtained the geodesics of motion. The orbits in Rindler space are found to be quite different from that of Schwarzschild case. The paths are not like the Perihelion Precession type. Read More

A time fractional quantum framework has been introduced into quantum mechanics. A new version of the space-time fractional Schr\"odinger equation has been launched. The introduced space-time fractional Schr\"odinger equation has a new scale parameter, which is a fractional generalization of Planck's constant in quantum physics. Read More

We present the emergence of a root system in six dimensions from the tetrahedra of an icosahedral core known as the 20-group (20G) within the framework of Clifford's geometric algebra. Consequently, we establish a connection between a three dimensional icosahedral seed, a six dimensional Dirichlet quantized host and a higher dimensional lattice structure. The 20G, owing to its icosahedral symmetry, bears the signature of a 6D lattice that manifests in the Dirichlet integer representation. Read More

We propose an optical parallel computation similar to quantum computation that can be realized by introducing pseudorandom phase sequences into classical optical fields with two orthogonal modes. Based on the pseudorandom phase sequences, we first propose a theoretical framework of "phase ensemble model" referring from the concept of quantum ensemble. Using the ensemble model, we further demonstrate the inseparability of the fields similar to quantum entanglement. Read More

A principle on the macroscopic motion of systems in thermodynamic equilibrium, rarely discussed in texts, is reviewed: Very small but still macroscopic parts of a fully isolated system in thermal equilibrium move as if points of a rigid body, macroscopic energy being dissipated to increase internal energy, and increase entropy along. It appears particularly important in Space physics, when dissipation involves long-range fields at Electromagnetism and Gravitation, rather than short-range contact forces. It is shown how new physics, Special Relativity as regards Electromagnetism, first Newtonian theory then General Relativity as regards Gravitation, determine different dissipative processes involved in the approach to that equilibrium. Read More

In this paper, we have analyzed the stability of cylindrically symmetric collapsing object filled with locally anisotropic fluid in $f(R,T)$ theory, where $R$ is the scalar curvature and $T$ is the trace of stress-energy tensor of matter. Modified field equations and dynamical equations are constructed in $f(R,T)$ gravity. Evolution or collapse equation is derived from dynamical equations by performing linear perturbation on them. Read More

The contribution of $O^{2-}$ ions to antiferromagnetism in $La_{2-x}Ae_xCuO_4$ ($Ae = Sr, Ba)$ is highly sensitive to doped holes. In contrast, the contribution of $Cu^{2+}$ ions to antiferromagnetism in $Nd_{2-x}Ce_xCuO_{4+y}$ is much less sensitive to doped electrons. The difference causes the precarious and, respectively, robust antiferromagnetic phase of these cuprates. Read More

The recent progress in the theory of generalized Lambert functions makes possible to solve exactly the Weiss equation of ferromagnetism. However, this solution is quite inconvenient for practical purposes. Precise approximate analytical solutions are obtained, giving the temperature dependence of the spontaneous magnetization, and also the dependence of the magnetization on both temperature and external magnetic field. Read More

We investigate the Hawking radiation of massive spin-1 vector particles, which are coupled to vacuum fluctuations of a quantum field, from Rindler modified Schwarzschild black hole. Rindler acceleration is used to produce the post-general relativistic theory of gravity for the distant field of a point mass. The gravitational lensing problem of the Rindler modified Schwarzschild black hole is also studied. Read More

The curvature and twisting of spacetime rotate the angle of polarization and imprint orbital angular momentum to photons emitted by the accretion disk near rotating black holes. Considering polarization and orbital angular momentum as two degrees of freedom of single-photons that can encode quantum information, we emphasize that the particular shape of spacetime around rotating black holes implements quantum gates and simple quantum circuits. Consequently, we demonstrate the implementation of some elementary quantum gates, like Hadamard or C-NOT, and simple quantum circuits, like Bell states, with photons in the presence of spinning black holes. Read More

We obtain a new anisotropic solution for spherically symmetric spacetimes by analysing of the Karmarkar embedding condition. For this purpose we construct a suitable form of one of the gravitational potentials to obtain a closed form solution. This form of the remaining gravitational potential allows us to solve the embedding equation and integrate the field equations. Read More

In this paper, we generalize Verlinde's entropic gravity proposal on other fundamental forces of nature. We begin with introducing the entropic origin of Coulomb's electrostatic force and then the magnetic force, by assuming the holographic principle holds for a charged particle approaching a screen enclosing the emerged part of the spacetime due to this source, whose entropy changes through the approaching charge. Thereafter, we obtain the entropic Maxwell equations in both classical and covariant form by means of the holograpic principles for the source. Read More

One of two postulates that are base for special relativity is that the laws of physics are invariant in all inertial systems, which has as a consequence that it is impossible for an observer to detect his motion through space. It will be shown that this is in a contradiction with the results of the Hafele-Keating experiment, which established that time is going faster in an airplane going westward than in that going eastward, if compared with clocks located on Earth. The result of the experiment allows not only to conclude that Earth is rotating toward east, but also to calculate the speed of Earth motion. Read More

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. Read More