A fast and high precision spatial domain algorithm is presented for forward modeling of two-dimensional(2D)body gravity anomalies of arbitrary shape and density distribution.The new algorithm takes advantage of the co...A fast and high precision spatial domain algorithm is presented for forward modeling of two-dimensional(2D)body gravity anomalies of arbitrary shape and density distribution.The new algorithm takes advantage of the convolution properties of the expression for 2D gravity anomalies,uses a rectangular cell as a grid subdivision unit,and then 2D bodies with irregular cross-sections are approximated by a combination of 2D bodies with a rectangular cross section.The closed-form expression is used to calculate the gravitational anomalies of the combination of 2D bodies with a rectangular cross section.To improve computing effi ciency,the new algorithm uses a fast algorithm for the implementation of the Toeplitz matrix and vector multiplication.The synthetic 2D models with rectangular and circular cross-sections and constant and variable densities are designed to evaluate the computational accuracy and speed of the new algorithm.The experiment results show that the computation costs less than 6 s for a grid subdivision with 10000×10000 elements.Compared to the traditional forward modeling methods,the proposed method significantly improved computational effi ciency while guaranteeing computational accuracy.展开更多
The purpose of this paper is to study cosmological properties of two-dimensional Brans-Dicke gravity model. For massless scatar field, the new cosmological solutions are found by integration of field equation, these s...The purpose of this paper is to study cosmological properties of two-dimensional Brans-Dicke gravity model. For massless scatar field, the new cosmological solutions are found by integration of field equation, these solutions correspond to the inflation solutions with positive cosmological constant. The result of this paper show that the inflation process of universe is controlled by the classical and quantum effect of the scalar field.展开更多
The integrability character of nonlinear equations of motion of two-dimensional gravity with dynamical torsion and bosonic string coupling is studied in this paper. The space-like and time-like first integrals of equa...The integrability character of nonlinear equations of motion of two-dimensional gravity with dynamical torsion and bosonic string coupling is studied in this paper. The space-like and time-like first integrals of equations of motion are also found.展开更多
The two-dimensional gravity model with a coupling constant and a vanishing cosmological constant coupled to a nonlinear matter field is investigated. We found that the classical equations of motion are exactly solvab...The two-dimensional gravity model with a coupling constant and a vanishing cosmological constant coupled to a nonlinear matter field is investigated. We found that the classical equations of motion are exactly solvable and the static solutions of the induced metric and scalar curvature can be obtained analytically. These solutions may be used to describe the naked singularity at the origin.展开更多
Gravity is not a fundamental force;in a nut-shell, it is the result of a non-commutative interaction of the “electric” (<i>i.e.</i> Coulomb type) due to fractional charges of the proton and neutron in &l...Gravity is not a fundamental force;in a nut-shell, it is the result of a non-commutative interaction of the “electric” (<i>i.e.</i> Coulomb type) due to fractional charges of the proton and neutron in <i>U</i>(2)-gauge theory, but which have no structure in <i>U</i>(1)-gauge theory, being neutral in itself (neutron), or when compensated by the electronic cloud (proton). This is no longer true at the <i>SU</i>(2) Electroweak Theory level, once spherical 3D-symmetry is broken to a finite Platonic group of symmetry within it Γ → <i>SU</i>(2). The fine splitting of energy levels due to the quark structure (frame basis in <i>SU</i>(2)) of the electric charge can be experimentally controlled using a MASER to invert the population and orient the nuclei the right way to reduce and turn off Gravity.展开更多
基金This work is jointly sponsored by the National Natural Science Foundation of China(No.41404106)the Scientific Research Startup Fund for Doctoral Program of Guilin University of Technology,Guangxi Natural Science Foundation Program(No.2018GXNSFBA138049)Guangxi Natural Science Foundation Program for Innovation Research Team(No.2016GXNSFGA380004).
文摘A fast and high precision spatial domain algorithm is presented for forward modeling of two-dimensional(2D)body gravity anomalies of arbitrary shape and density distribution.The new algorithm takes advantage of the convolution properties of the expression for 2D gravity anomalies,uses a rectangular cell as a grid subdivision unit,and then 2D bodies with irregular cross-sections are approximated by a combination of 2D bodies with a rectangular cross section.The closed-form expression is used to calculate the gravitational anomalies of the combination of 2D bodies with a rectangular cross section.To improve computing effi ciency,the new algorithm uses a fast algorithm for the implementation of the Toeplitz matrix and vector multiplication.The synthetic 2D models with rectangular and circular cross-sections and constant and variable densities are designed to evaluate the computational accuracy and speed of the new algorithm.The experiment results show that the computation costs less than 6 s for a grid subdivision with 10000×10000 elements.Compared to the traditional forward modeling methods,the proposed method significantly improved computational effi ciency while guaranteeing computational accuracy.
基金The Natural Science Foundatin of Sichuan Normal University (No.061k004)
文摘The purpose of this paper is to study cosmological properties of two-dimensional Brans-Dicke gravity model. For massless scatar field, the new cosmological solutions are found by integration of field equation, these solutions correspond to the inflation solutions with positive cosmological constant. The result of this paper show that the inflation process of universe is controlled by the classical and quantum effect of the scalar field.
文摘The integrability character of nonlinear equations of motion of two-dimensional gravity with dynamical torsion and bosonic string coupling is studied in this paper. The space-like and time-like first integrals of equations of motion are also found.
文摘The two-dimensional gravity model with a coupling constant and a vanishing cosmological constant coupled to a nonlinear matter field is investigated. We found that the classical equations of motion are exactly solvable and the static solutions of the induced metric and scalar curvature can be obtained analytically. These solutions may be used to describe the naked singularity at the origin.
文摘Gravity is not a fundamental force;in a nut-shell, it is the result of a non-commutative interaction of the “electric” (<i>i.e.</i> Coulomb type) due to fractional charges of the proton and neutron in <i>U</i>(2)-gauge theory, but which have no structure in <i>U</i>(1)-gauge theory, being neutral in itself (neutron), or when compensated by the electronic cloud (proton). This is no longer true at the <i>SU</i>(2) Electroweak Theory level, once spherical 3D-symmetry is broken to a finite Platonic group of symmetry within it Γ → <i>SU</i>(2). The fine splitting of energy levels due to the quark structure (frame basis in <i>SU</i>(2)) of the electric charge can be experimentally controlled using a MASER to invert the population and orient the nuclei the right way to reduce and turn off Gravity.
