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Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity
Issue:
Volume 7, Issue 4, December 2021
Pages:
88-93
Received:
13 August 2021
Accepted:
27 August 2021
Published:
5 October 2021
Abstract: We have studied the gravitation in the context of the noncommutative manifold M4×Z2 where Z2 is not the two point space but corresponds to a direction-vector attached to a space-time point. A local field theory, noncommutative Yang - Mills fields is limited to obtain the return thatsuch a symmetry group differences are. Noncommutative gauge symmetry of space - time and theinternal symmetry of the mixer is a very natural and clear perception that the gravitational forcegauge a characteristic feature of the theory. The gauge fields of the dimensionally reduced noncommutativeYang-Mills theory map onto a Weitzenbӧck spacetime and a teleparallel theory of gravity arisesas the zero curvature reduction of a Poincare gauge theory which induces an Einstein-Cartanspace-time characterized by connections with both nonvanishing torsion and curvature. This analysissuggests that noncommutative Yang-Mills theory naturally induces gravitation through a torsioned space-time. Thus as in the case of a noncommutative manifold whereZ2 is a two-point space there appears to be aconnection between gravity and electroweak theory in this formalism this is achieved through therealization of chiral anomaly and torsion. It is noted to be that that Weitzenbӧck geometry thatEinstein's General Relativity with the teleparallel gravity equivalent, provoked by her some notablefeatures are. This show has been that the geometry torsioned space-time at which the the chiralanomaly inconsistencies in the torch made is. This show is that it naturally Weitzenbӧck geometryof the moves that the gravity of a teleparallel formula birth towards.
Abstract: We have studied the gravitation in the context of the noncommutative manifold M4×Z2 where Z2 is not the two point space but corresponds to a direction-vector attached to a space-time point. A local field theory, noncommutative Yang - Mills fields is limited to obtain the return thatsuch a symmetry group differences are. Noncommutative gauge symmetr...
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Gravitational and Electromagnetic Field of a Non-rotating and Rotating Charged Mass
Issue:
Volume 7, Issue 4, December 2021
Pages:
94-104
Received:
1 October 2021
Accepted:
19 October 2021
Published:
28 October 2021
Abstract: A new alternative method is presented here to find out a metric for an isolated charged mass situated at the origin in empty space. Since the charged mass has the both gravitational and electromagnetic field, therefore at first a crude line element or metric is considered for the mass, and then another crude line element is considered for the electric charge of the body. The both line elements are the functions of the distance, therefore combined the both line elements and a most general form of line element is found. To solve this metric Einstein’s gravitational and Maxwell’s electromagnetic (e-m) field equations are used. In the method of solutions e-m field tensor is also used which is found from Maxwell’s e-m field equations. After a rigorous derivation the metrics are found for both positively charged and negatively charged massive particles. The new metric for an electron is different as the metric is devised by Reissner and Nordstrom. The metric for a proton is extended for the massive body and which gives some new interesting information about the mass required to stop e-m interaction. This means that above the aforesaid mass there is no electrically charged body in the universe. On the other hand we can say that life cannot survive in those massive planets which masses are greater than 1.21 times of Jupiter mass. The metric found for proton is used to find another new metric for rotating charged massive body.
Abstract: A new alternative method is presented here to find out a metric for an isolated charged mass situated at the origin in empty space. Since the charged mass has the both gravitational and electromagnetic field, therefore at first a crude line element or metric is considered for the mass, and then another crude line element is considered for the elect...
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Theoretical Realization of a Two Qubit Quantum Controlled-NOT Logic Gate and a Single Qubit Quantum Hadamard Logic Gate in the Anti-Jaynes-Cummings Model
Christopher Mayero,
Joseph Akeyo Omolo,
Onyango Stephen Okeyo
Issue:
Volume 7, Issue 4, December 2021
Pages:
105-111
Received:
30 August 2021
Accepted:
22 September 2021
Published:
5 November 2021
Abstract: Quantum gates are fundamental in Quantum computing for their role in manipulating elementary information carriers referred to as quantum bits. In this paper, a theoretical scheme for realizing a quantum Hadamard and a quantum controlled-NOT logic gates operations in the anti-Jaynes-Cummings interaction process is provided. Standard Hadamard operation for a specified initial atomic state is achieved by setting a specific sum frequency and photon number in the normalized anti-Jaynes-Cummings qubit state transition operation with the interaction component of the anti-Jaynes-Cummings Hamiltonian generating the state transitions. The quantum controlled-NOT logic gate is realized when a single atomic qubit defined in a two-dimensional Hilbert space is the control qubit and two non-degenerate and orthogonal polarized cavities defined in a two-dimensional Hilbert space make the target qubit. With precise choice of interaction time in the anti-Jaynes-Cummings qubit state transition operations defined in the anti-Jaynes-Cummings sub-space spanned by normalized but non-orthogonal basic qubit state vectors, ideal unit probabilities of success in the quantum controlled-NOT operations is determined.
Abstract: Quantum gates are fundamental in Quantum computing for their role in manipulating elementary information carriers referred to as quantum bits. In this paper, a theoretical scheme for realizing a quantum Hadamard and a quantum controlled-NOT logic gates operations in the anti-Jaynes-Cummings interaction process is provided. Standard Hadamard operati...
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Numerical Simulation of Ocean Currents with Hermite IFinite Elements
Ibrahima Thiam,
Babou Khady Thiam,
Ibrahima Faye
Issue:
Volume 7, Issue 4, December 2021
Pages:
112-125
Received:
23 August 2021
Accepted:
30 September 2021
Published:
24 December 2021
Abstract: The article deals with the numerical simulations for equations of geophysical fluids. These physical phenomena are modeled by the Navier-Stokes equations which describe the motion of the fluid, the ocean currents, the flow of water in a pipe and many other fluid flow phenomenon.These equations are very useful because of there utility. The Navier-Stokes equations for incompressible flow are nonlinear partial differential equations that drive the motion of fluids in the approximation of continuous media. The existence of general solutions to the Navier Stokes equations have already proven but in this paper we have interested to the numerical solution of the incompressible Navier-Stokes equations. We get an optimal discretization of the Navier-Stokes equations and numerical approximations of the solution are also given. The convergence and the stabilityof the approximated system are proven. The numerical resolution is based on Hermite finite elements. The numerical system was expressed in matrix form for computation of velocity and the pression fieldsapproach using MATLAB software. Numerical results for velocity field in two dimensional space of the velocity u(x,y) and pression p(x,y,) are given. And finally we give physical interpretation of the results obtained.
Abstract: The article deals with the numerical simulations for equations of geophysical fluids. These physical phenomena are modeled by the Navier-Stokes equations which describe the motion of the fluid, the ocean currents, the flow of water in a pipe and many other fluid flow phenomenon.These equations are very useful because of there utility. The Navier-St...
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Analysis of COVID-19 Disease Using Fractional Order SEIR Model
Leli Deswita,
Ponco Hidayah,
Ali Mohamed Ali Hassan Ali,
Syamsudhuha Syamdhuha
Issue:
Volume 7, Issue 4, December 2021
Pages:
126-130
Received:
15 July 2021
Accepted:
9 August 2021
Published:
31 December 2021
Abstract: In this study, the spread of COVID-19 pandemic disease model is analyzed using fractional order SEIR model. Fractional order is concept of calculus such as derivative and integral that is measured by using non-natural order that recently being used in various applications in real-world such as engineering, physics, chemistry, biology etc. Starting from this concept, the mathematical model is used in this study is in the form of a dynamical system consisting of nonlinear fractional differential equations with order one. These equations represent four compartments with certain health conditions. Those four compartments are susceptible, exposed, infected and recovered that are considered to have a significant influence in the development of COVID-19 infectious diseases. Having described the model, some analysis in terms of region of the solutions, the equilibrium points and reproduction number are measured in which is useful in describing qualitatively the stability of the system described. This dynamical system is solved numerically and simultaneously by using a modification of the Euler method. The results obtained are the graphs that describe the behaviour of four compartments in which giving predictive results about how the disease behaves with various orders. This approach has the advantage in terms of giving flexibility in approaching the real case that is happening in the world.
Abstract: In this study, the spread of COVID-19 pandemic disease model is analyzed using fractional order SEIR model. Fractional order is concept of calculus such as derivative and integral that is measured by using non-natural order that recently being used in various applications in real-world such as engineering, physics, chemistry, biology etc. Starting ...
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