Top PDF The Gravitational Field of a Body with Rotational Symmetry in Einstein's Theory of Gravitation

The Gravitational Field of a Body with Rotational Symmetry in Einstein's Theory of Gravitation

The Gravitational Field of a Body with Rotational Symmetry in Einstein's Theory of Gravitation

THE GRAVITATIONAL FIELD OF A BODY WITH ROTATIONAL SYMMETRY IN EINSTEIN'S THEORY OF GRAVITATION ABSTRACT Einstein's set of field equations in vaccuo is reduced to such a form tbat simp~e [r]

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Common Material Foundation of Gravitation Theory and Quantum Theory

Common Material Foundation of Gravitation Theory and Quantum Theory

Abstract: In order to unite gravitational field with other fields, we must find the common material foundation of the gravitation theory and quantum theory. For the end, I propose the duality framework of the universe. The universe is composed of continuous universal continuum and separate p net; Universal energy Eu and various special energies Es that transform into one another at high frequency; Basic forces that dominate the universe are the universal compressive force and quantum dispersive force. The above duality framework, can explain naturally the wave-particle duality, probabilistic nature, uncertainty relation and quantum entanglement; no using Einstein’s theory, can obtain the mass-energy relation, Einstein’s equations, Friedmann’s equation and the proportions of dark energy, dark matter and ordinary matter; includes, links and foreruns both the gravitation theory and quantum theory; is their common material foundation to give their unified harmonious image; and can solve the puzzlers about the singularity, non-locality, uncertainty of energy, et al . Daring predictions: The electromagnetic wave must have an adjoint strain wave. The gravitational wave must have an adjoint wave of matching field. It is in the wrong direction to find the particle of the “dark matter”.
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Gravitons into Gravitational Field

Gravitons into Gravitational Field

The modern theory of gravitation—the theory general relativity of Einstein—is a basis for calculation of the astrophysics phenomena. It is generalization Newto- nian dynamics, including the law of universal gravitation. As well as Newtonian dynamics the theory general relativity is not the quantum theory. The Einstein’s equation for a gravitational field does not have stochastic nature. It contradicts modern physics. For example, for an electron cooperating with a gravitational field with help of the Einstein’s equation, it is possible to calculate position ab- solutely precisely that contradicts a principle of Heisenberg’s uncertainty.
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Axiomatic Affine Unification with Large Gravitational Vector Field Yields Vector Metric Theory of Gravitation, Electromagnetism and Field Description of Mass Particles

Axiomatic Affine Unification with Large Gravitational Vector Field Yields Vector Metric Theory of Gravitation, Electromagnetism and Field Description of Mass Particles

The development of Physics—whether we realize it or not—is in large driven by it’s mathematical representation. It is based on Einstein General Relativity, that we arrive to such constructions as: Event Horizon, Black Holes, Open and Close Universe, Big Bang, Black Energy, etc. If this Eddington Unification theory with accumulating Gravitational field G is correct, it is not clear which of these phenomena survive. Or what their mathematical description would be if they still exist. For example, we might learn that “black holes” that don’t allow light to escape do exist (which would not be a big surprise to Astronomers), but those “black hole” have no event horizon. In fact, if the “event horizon” did ex- ist, would we see a ring of a bright glow around each black hole, due to the “stacked” light (from outsider point of view) of all the stars that fell into that “hole” over millions and millions year of its history?
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Dynamical Problem of a Rotational Charged Dielectric Rigid Body
 in a Uniform Magnetic Field

Dynamical Problem of a Rotational Charged Dielectric Rigid Body in a Uniform Magnetic Field

In the present paper, by means of Lagrange dynamical theory and Eulor’s equation for a rotational rigid body, the Lagrangian and dynamic equations of a rotational charged rigid body under a uniform magnetic field has been successfully derived; Also two symmetric simple cases have been solved and analyzed under conditions of slow rotation and no gravitation. We limit our research object to the dielectric rigid body under conditions of slow rotation and no gravitation so that the damping effect of electromagnetic radiation and the relativistic effects caused by rotation can all be ignorable. 2. FUNDAMENTAL CONCEPTS OF CHARGE
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Electric, Magnetic and Gravitation Field  of the Earth

Electric, Magnetic and Gravitation Field of the Earth

The ascent and descent of the air carry along the positive ions resulting in a change of the EFE strength and produce the difference in the potentials along the surface of the Earth leading to the appearance of telluric currents. The at- mosphere contains the ions of both signs formed as a result of the ionizing caused by the ultraviolet and cosmic rays as well as by the natural radioactivity, etc. These ions are affected by the Lorentz force when they move with an air current, for instance, with wind or under convection in the magnetic field of the Earth, there appears an electromotive force and an electric current. The direc- tion of the current is determined by the mutual orientation of the vector of the magnetic field strength and that of the speed of the air, and it can have both the vertical and the horizontal components. On the one hand, this current results in the potential difference along the surface of the Earth and is one more source of telluric currents. On the other hand, it can lead to the separation of the charges in the atmosphere both along the vertical and the horizontal as well as to the formation of lightnings. Charges of large values are not formed at a small height above the surface of the Earth due to the Earth proximity. Its high electrical conductivity produces a shunting effect suppressing the separation of charges. Regions charged up to high values of the potential can form in the atmosphere only at a rather large height.
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Analog quantum simulation of gravitational waves in a Bose-Einstein condensate

Analog quantum simulation of gravitational waves in a Bose-Einstein condensate

In this paper, we show how to realise a quantum simulation of the generation of parti- cles by gravitational waves in a BEC. We exploit the fact that the Bogoliubov modes of a trapped BEC satisfy a Klein-Gordon equation on a curved background metric. The met- ric has two terms [, –], one corresponding to the real spacetime metric and a second term, corresponding to what we call the analogue gravity metric, which depends on BEC parameters such as velocity flows and energy density. While in [] we analyse the effect of changes in the real spacetime metric, in this case we consider the manipulation of the ana- logue gravity [–] metric, assuming that the real spacetime is flat. Since in this case the experimentalist is able to manipulate artificially the parameters of the condensate, we are able to simulate spacetime distortions with a much larger amplitude, as if the laboratory were closer to the source of the gravitational ripples. We show that with realistic experi- mental parameters, a physically meaningful model of gravitational wave can be simulated with current technology.
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An Improved Approach of Text Steganography in Application with Rotational Symmetry

An Improved Approach of Text Steganography in Application with Rotational Symmetry

Many Steganography methods have been introduced on different cover media such as images [5, 10, 13], video files [14,15] and audio files [16]. Due lack of large scale repeated information in a text file when compared with images, audio and video files. Text Steganography seems to be most complicated kind of Steganography [17]. This paper presents a novel approach for text Steganography by generating the summery of a text file that contains English language text. The proposed method takes as input a widely available text and the secret message. The secret message is hidden in the summery by following the rotational symmetry properties of the characters of English alphabets along the axis of rotation. As result of the system, a review is generated from the chosen input text and that review is our cover text. That review is to be sent to the receiving end. At the other end depending on the same properties of the alphabets, relevant secret bits from the cover text are generated to get back the Input message.
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Theory of Gravitational Spin

Theory of Gravitational Spin

the imaginary energy, which energy must be proportional to the electric charge ot the system.. If the total mass.[r]

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Gravitational Scattering Amplitudes and Closed String Field Theory in the Proper-Time Gauge

Gravitational Scattering Amplitudes and Closed String Field Theory in the Proper-Time Gauge

Abstract. We construct a covariant closed string field theory by extending recent works on the covariant open string field theory in the proper-time gauge. Rewriting the string scattering amplitudes generated by the closed string field theory in terms of the Polyakov string path integrals, we identify the Fock space representations of the closed string ver- tices. We show that the Fock space representations of the closed string field theory may be completely factorized into those of the open string field theory. It implies that the well known Kawai-Lewellen-Tye (KLT) relations of the first quantized string theory may be promoted to the second quantized closed string theory. We explicitly calculate the scatter- ing amplitudes of three gravitons by using the closed string field theory in the proper-time gauge.
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DESCARTES  VACUUM IN HOLE GRAVITATION THEORY

DESCARTES VACUUM IN HOLE GRAVITATION THEORY

Understanding the nature of mass is crucial in fundamental re- search. Since attempts to detect the Higgs boson, and therefore to verify the Higgs field as the mass-generating mechanism of the Stan- dard Model, have been unsuccessful, paper proposes a very simple model of gravitation that use the Descartes’ void (holes in space- time). The advantage of the present approach is that it can easily explain the curvature of space-time using the properties of Descartes’ vacuum only. Gravitation is a phenomenon by which all objects with mass attract each other. Hole theory of gravitation explains why ob- ject have mass, how all objects with mass attract each other. Matter interacts with space-time that and radiates a flux of holes that is the cause of the gravitation. Thus for explanation of gravitation the present theory use the hole structure of space-time only.
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Remarks on Local Symmetry Invariance in Perturbative Algebraic Quantum Field Theory

Remarks on Local Symmetry Invariance in Perturbative Algebraic Quantum Field Theory

Initially the paqft framework was developed for scalar fields, but recently there has been a lot of progress in constructing more complicated models. In particular, quantum electrodynamics (QED) was discussed in [23] and Yang-Mills theory was discussed in [12, 43]. A general framework which deals with arbitrary theories with local symmetries was subsequently proposed in [37, 38, 55]. This setting makes use of the Batalin-Vilkovisky formalism, which relies on homological algebra methods. In [37, 38] these algebraic tools are refined by introducing functional-analytic aspects and generalizing the BV formalism to infinite dimensional spaces. In [38] a general quantization scheme for gauge theories is proposed and some comparison with the approach of [43] is made. In the present work we want to continue this line. We discuss various aspects of local gauge invariance in p aqft , pointing out differences and common features of existing approaches. The framework proposed in [37, 38] is a very convenient tool for such analysis, since it is general and flexible enough. We focus our discussion on two problems: general formulation of consistency conditions that have to be satisfied by the deformed ⋆-product in order to be compatible with structures appearing in the BV formalism, and the definition and intrinsic meaning of the free and the interacting BRST charge. Our main result is the proof that the interacting BRST charge R V (Q) (R V denotes the derivative of the relative S-matrix)
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On Maxwell Equations for Gravitational Field

On Maxwell Equations for Gravitational Field

Thus, one may say in summary that if the Gauss’ theorem is valid for the gravitational field R , and the continuity equation is satisfied for ρ and J , then, there must exist a gravitational vector field W such that W and R satisfy inhomogeneous wave equations which propagate with an unknown speed “ λ ”. One must mention that there has not been a direct measurement of the speed of gravitational waves, but it is assume that gravity also travel to the speed of light [6]. In addition, none experiment has been so far trying to find the gravitational field W , and general controversy about Maxwell equations for gravitational field can be found in reference [34].
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Nonlinear Spinor Field Equations in Gravitational Theory: Spherical Symmetric Soliton Like Solutions

Nonlinear Spinor Field Equations in Gravitational Theory: Spherical Symmetric Soliton Like Solutions

, taking into account their own gravitational field. Equations with power and polynomial nonlinearities are studied in detail. It is shown that the initial set of the Einstein and spinor field equations with a power nonlinearity has regular solutions with spinor field localized energy and charge densities. The total energy and charge are finite. Besides, exact solutions, including soliton-like solutions, to the spinor field equations are also obtained in flat space-time. Keywords: Lagrangian; Static Spherical Symmetric Metric; Field Equations; Einstein Equations; Dirac Equation;
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Einstein@Home search for periodic gravitational waves in LIGO S4 data

Einstein@Home search for periodic gravitational waves in LIGO S4 data

The authors thank the tens of thousands of volunteers who have supported the Einstein@Home project by donat- ing their computer time and expertise for this analysis. Without their contributions, this work would not have been possible. The authors gratefully acknowledge the support of the United States National Science Foundation for the construction and operation of the LIGO Laboratory and the Science and Technology Facilities Council of the United Kingdom, the Max-Planck-Society, and the State of Niedersachsen/Germany for support of the construction and operation of the GEO600 detector. The authors also gratefully acknowledge the support of the research by these agencies and by the Australian Research Council, the Council of Scientific and Industrial Research of India, the Istituto Nazionale di Fisica Nucleare of Italy, the Spanish Ministerio de Educacio´n y Ciencia, the Conselleria d’Economia, Hisenda i Innovacio´ of the Govern de les Illes Balears, the Scottish Funding Council, the Scottish Universities Physics Alliance, the National Aeronautics and Space Administration, the Carnegie Trust, the Leverhulme Trust, the David and TABLE VIII. Post-processing candidates that have 9 or more coincidences and that are not excluded by the veto. The frequency f cand
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Gravitation field algorithm and its application in gene cluster

Gravitation field algorithm and its application in gene cluster

GFA is derived from the point of view of the hypoth- esis theory described above. To start with, all the solu- tions, which are the dusts in the algorithm model, are initialized randomly, or based on the prior knowledge; what’s more, we assign every dust (solution) a weight, we call it mass, whose values are based on the mass function generated from the space of the problem solu- tion; finally, the GFA begins. The power of attraction, which belongs to a certain dust and exists between every two dusts, pulls other dusts, which have the same influence to other dusts. Hence, the dusts assemble together, and the planets come out in the end – they are the optima. If you want to find global optimal solution, the planets assemble again, and the biggest planets will come out. To give a penalty of that the highest mass dust rules the whole space of solution, we propose a dis- tance which can reduce the effect of gravitation field. Methods
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Theory Learning with Symmetry Breaking

Theory Learning with Symmetry Breaking

Rectangle packing problems have attracted considerable inter- est in constraint programming [27] owing to their application in scheduling and layout design. This paper considers the consecutive squares packing problem [17], the problem of placing squares of size 1 × 1,2 × 2,...,n × n into a rectangle of given dimensions. It is argued in [27] that this problem is a good test of search meth- ods for constraint problems. The problem has a natural model as boolean combinations of integer difference constraints, and the disjunctive nature of the model suggests that the problem might be tackled using an SMT solver over the theory of integer difference constraints (often called integer difference logic). This theory has been supported by SMT solvers since their first development [23]. This paper details developments of a declarative SMT solver motivated by tackling this class of problems as a strength test. The solver is coded in Prolog and has at its heart the SAT solver from [12–14], whilst using constraint reification [25] as a mechanism to realise theory propagation. In [26] integer difference logic was integrated into the solver using an incremental variation of the Floyd-Warshall algorithm, together with a structure called a watch matrix that improves propagation from the theory decision pro- cedure into the boolean component of the problem. The solver works with the natural declarative model of the problem, and this paper details enhancements to the solver. In particular, the Floyd- Warshall matrix can be adapted to build unsatisfiable cores, that is, certificates of unsatisfiability, and these can be used to add theory learning (the learning of new boolean constraints from theory fail- ure) to the solver. Most significantly, theory learning is enhanced by exploiting symmetry, so that a single failure can be used to learn multiple clauses. Whilst this specialisation of learning is applica- tion specific in its detail, the tactic of specialising learning using problem structure is more generally applicable and promises to be a powerful tactic for SMT solving in general.
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Conceptual Content of the Generalized Theory of Gravitation of Jefimenko

Conceptual Content of the Generalized Theory of Gravitation of Jefimenko

But let us go back to the generalized theory of gravitation. We note that, as shown in [3], within the framework of the generalized theory of gravitation, one can obtain formulas according to which the perihelion precession for all planets is a necessary consequence of this theory. However, these formulas hardly can prove anything. The fact is that according to the generalized theory of gravita- tion, all celestial mechanics and its results should be revised. As it was shown above (see Figure 1), the action of the Sun on planets is expressed not by one force, but by five forces, and the action of each planet on each other planet is ex- pressed not by one force, but by five forces. Therefore, as a matter of fact, all the information about our solar system, obtained on the basis of Newton’s conven- tional theory, should be considered only approximately correct. So, from the point of view of the generalized theory, there is no point in trying to explain the 43’’rd residue in the displacement of the perihelion of Mercury. After all, if we take into account all the forces that act on Mercury, including the forces asso- ciated with the movement of the Sun in relation to the Galaxy, the rotation of the Sun around its axis, the dependence of the forces acting on Mercury on the speed and acceleration of the planets, on the speed of Mercury itself, and , finally, the retardation in the action of gravitational and cogravitational forces, will we get this discrepancy at all in the displacement of the perihelion of Mercury, es- pecially the discrepancy exactly in 43 seconds? It is clear that until all these cal- culations are performed, until the necessary corrections in celestial mechanics are amended, it is pointless to speak of testing the generalized theory of gravita- tion by analyzing the motion of Mercury.
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Lorentz’s Transformations and Gravitation in the Granular Space Theory

Lorentz’s Transformations and Gravitation in the Granular Space Theory

When the twin 0’ in the rocket thinks that he is at vest about the stars and the Earth flies away in the opposite direction from him, this system is not real but imaginary and unrelated to the existing situation: no matter what he thinks, his rocket flies faster than the Earth and the proc- esses are slowed down or him as before. Thus, neither acceleration nor the inclusion of gravitational affects (Einstein’s equivalence principle) are related to this pa- radox. To solve this paradox we have to go beyond the existing paradigm and to accept absolute material space de facto.

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Four Poission Laplace Theory of Gravitation (I)

Four Poission Laplace Theory of Gravitation (I)

With regard to a time variable-G (i.e., the Newtonian gravitational constant), recent research has shown that, at least for the last 9 billion of the Universe’s assumed 13.8-billion-year history, the Newtonian gravitational constant G has not varied more than (at most) one part in a billion. This result is obtained after an exhaustive study of about 580 observed supernovae events by Professor Jeremy Mould and his Ph.D. student Syed Uddin at the Swinburne Centre for Astrophysics and Supercomputing and the ARC Centre of Excellence for All-Sky As- trophysics. Their research findings show that the Newtonian constant G has not changed appreciably over cos- mic time. This research which focused on Type 1a supernovae, demonstrated a constant G within an upper bound of G G   − 10 − 10 yr − 1 [65]. If as suggested here that G G  ≡ 0 , then experiments such as those of Pro- fessor Jeremy Mould [65], these experiments; as is the case with the issue of whether or not a photon has mass (see e.g. [66]), they will not yield any conclusive answers as one experiment to the other, researchers will only push the measurements to the next decimal place.
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