Gravitation with a modified Weber force

With a modified Weber force for gravitation we show how the values of both the advance of the perihelion of the planets and the gravitational deflection of fast particles of general relativity can be reproduced.     

规范作用与引力的统一

在标准模型手征扩充理论的基础上,假定规范作用与引力统一,计算表明,夸克和轻子只可能有三代;所定出的统一点的能量标度为4.4×10¹⁸GeV轻子性夸克的质量标度为10¹⁰GeV.     

Letter: Axisymmetric Vacuum Gravitation in Canonical Coordinates

In canonical coordinates, one can specify the axisymmetric solutions of Einstein's vacuum gravitation equations by assigning a generating function a(t, z) that prescribes the light speed along the axis of symmetry. To assist in the identification of those axial generators that will produce the different asymptotically flat space-times, we now examine what coordinate freedom persists in the metric, and link this to our earlier investigation of similarity solutions.     

Semi-Teleparallel Theories of Gravitation

A class of theories of gravitation that naturally incorporates preferred frames of reference is presented. The underlying space-time geometry consists of a partial parallelization of space-time and has properties of Riemann—Cartan as well as teleparallel geometry. Within this geometry, the kinematic quantities of preferred frames are associated with torsion fields. Using a variational method, it is shown in which way action functionals for this geometry can be constructed. For a special action the field equations are derived and the coupling to spinor fields is discussed.     

A Possible Experimental Test on Five-Dimensional Gravitation Theory of Complex Field

By appropriately choosing additional dimensions of space-time, the mass spectrum of mesons is obtained, and the calculated results agree with the experimental data.     

狭义相对论中的重力及"潜水艇佯谬"

在狭义相对论范畴内,如果考虑地球周围较小区域内的动力学问题,可以用均匀质量密度的无限大平面产生的重力场替代地球的史瓦西场,从而得到较为简单的重力表达式.在此基础上可以很方便地解释所谓的"潜水艇佯谬".     

分子间存在引力实验的改进

“分子引力”实验是初中物理“分子运动论”教学中的一个重要的验证性演示实验.传统的演示实验存在着实验现象不明显,成功率不高,不便于学生观察等缺陷.利用甘油能增加液体膜韧性的特点,利用液体膜拉动吸管运动可以让学生很直观地观察到分子间的引力,降低学生对于微观现象的理解难度.     

A Possible Interpretation on Distance-Dependent Effect of Gravitational Constant in Newton's Theory of Gravitation

Based on the new metric theory of gravitation suggested by the author of this article, it gives a possible theoretical interpretation on the famous experiment done by D.R. Long in 1976, i.e. the distance-dependent effect of the gravitational constant in Newton's theory of gravitation.     

Metric of Rotating Charged Spherical Mass in Vacuum for Vector Graviton Metric Theory of Gravitation

Based on the vector graviton metric theory of gravitation (VGM) suggested by one of the authors of this article, using the method of null tetrad and analytic continuation, this paper gives the metric of the rotating charged spherical mass in VGM. The result shows once again that a replacement of G by G* = G(1 - G M /2r) in general relativity will yield the corresponding result in VGM for the metric in vacuum.     

Metric of Rotating Charged Spherical Mass in Vacuum for Vector Graviton Metric Theory of Gravitation

Based on the vector graviton metric theory of gravitation （VGM） suggested by one of the authors of this article, using the method of null tetrad and analytic continuation, this paper gives the metric of the rotating charged spherical mass in VGM. The result shows once again that a replacement of G by G＊= G（1 - G M / 2r ） in general relativity will yield the corresponding result in VGM for the metric in vacuum.     

Gravitation as an averaged theory

A result due to Eisenhart is used to justify an averaging process of a theory of gravity. More results of the theory are also deduced, similar to those derived by Einstein for the Nordström theory.     

A Generally Covariant Field Equation for Gravitation and Electromagnetism

A generally covariant field equation is developed for gravitation and electromagnetism by considering the metric vector q in curvilinear, non-Euclidean spacetime. The field equation is

Structure Equations in the U 4 Theory of Gravitation

Cartan’s equations of structure and Bianchi identities in the U ₄ theory of gravitation are derived. The relativistic language we adopted is that of Newman-Penrose-Jogia and Griffiths (NPJG). A number of important properties which arise in the development of basic equations are also presented in the NPJG formalism. It is hoped that the essence of non-Riemannian geometry can be summarized by exploiting these equations.     

Gravitation in the Fractal D = 2 Inertial Universe: New Phenomenology in Spiral Discs and a Theoretical Basis for MOND

A particular interpretation of Mach's Principle led us to ask if it was possible to have a globally inertial universe that was irreducibly associated with a non-trivial global matter distribution, Roscoe [1]. This question received a positive answer, subject to the condition that the global matter distribution is necessarily fractal, D = 2. The present paper shows how gravitational processes can arise in this universe. We begin by showing how classical Newtonian gravitation arises from point-source perturbations of this D = 2 inertial background. We then use the insights gained from this initial analysis to arrive at a general theory for arbitrary material distributions. We illustrate the process by using it to model an idealized spiral galaxy. One particular subclass of solutions, (the logarithmic spiral) has already been extensively tested (Roscoe [2, 3]), and shown to resolve large samples of optical rotation curve data to a very high statistical precision. These analyses also led to the discovery of a major new phenomenology in spiral discs—that of discrete dynamical classes, [3]. In this paper, we analyse the theory more comprehensively, showing how this phenomenology has a possible explanation in terms of an algebraic consistency condition which must necessarily be satisfied.Of equal significance, we apply the theory with complete success to the detailed modelling of eight Low Surface Brightness spirals (LSBs) which, hitherto, have been successfully modelled only by the MOND algorithm (Milgrom [5–7]. We are able to conclude that the essence of the MOND algorithm must be contained within the presented theory.     

Spin and mass content of linearized Poincaré gauge theories

A unified gauge theory of massless and massive spin-2 fields is of considerable current interest. The Poincaré gauge theories with quadratic Lagrangian are linearized, and the conditions on the parameters are found which will lead to viable linear theories with massive gauge particles. As well as the 2⁺ massless gravitons coming from the translational gauge potential, the rotational gauge potentials, in the linearized limit, give rise to 2⁺ and 2⁻ particles of equal mass, as well as a massive pseudoscalar.