Repulsive Gravitation in the Kerr-Newman Field

It is shown that uncharged test particles, released from rest at infinity in the Kerr-Newman field, stop and rebound when the radial coordinate r takes the value r₀ = Q²/(2M). This expression corresponds to the position of a stationary source of the Kerr-Newman field found by the author. It represents the surface of a massive oblate ellipsoid of revolution undergoing rigid rotation. Besides, the magnitude of r₀ guarantees that no violation of causality occurs throughout spacetime. Although the test particles' angular momenta are always zero, they acquire a rotational motion as a consequence of the dragging of inertial frames.     

Testing the Equivalence Principle in the Quantum Regime

We consider possible tests of the Einstein Equivalence Principle for physical systems in which quantum-mechanical vacuum energies cannot be neglected. Specific tests include a search for the manifestation of non-metric effects in Lamb-shift transitions of hydrogenic atoms and in anomalous magnetic moments of massive leptons. We discuss how current experiments already set bounds on the violation of the equivalence principle in this sector and how new (high-precision) measurements of these quantities could provide further information to this end.     

新型层柱微孔材料-XW11Co柱撑Zn-Al型层柱化合物的合成、表征及催化活性研究

采用水热合成与离子交换方法, 将中心原子不同的过渡金属(Co^2^+)取代型Keggin结构杂多阴离子XW11O39Co(H2O)^n^-(X=Ge^4^+, B^3^+和Co^2^+)嵌入Zn-Al型阴离子粘土层间, 合成了底面间距(d001)为1.46±0.01nm的新型层柱化合物Zn2Al-GeW11Co, Zn2Al-BW11Co和Zn2Al-CoW11Co; 通过XRD, IR, XPS和DTA等手段, 研究了它们的结构与性质, 推测了这些杂多阴离子(XW11Co)在层间的空间取向; 考察了这些新型层柱化合物对乙酸与n-丁醇酯化反应的催化活性; 吡啶吸附IR光谱研究结果表明, 它们同时具有B酸与L酸两种酸中心。     

电负性标度和电子亲和能的规律性研究II. 电子亲和能的规律性研究

本文研究了不同情形下, 绝对硬度η与~nt(r为轨道半径, n, I 为轨道的主量子数和角量子数)的关系, 并在前文提出的Z/~nl与Mulliken 电负性关系基础上, 将元素电子亲和能A同时与Z/~nl和~nl相关起来, 并表示成A=αZ/~nl+b~nb+c(a, b, c为常数)。我们研究了这种关系在周期表中各族及各过渡系的拟合结果, 不但计算值与电子亲和能的实验值非常吻合, 而且拟合的相关程度很高。本文方法为系统研究电子亲和能的变化规律提供了简单可行的途径。     

How Is the Local-scale Gravitational Instability Influenced by the Surrounding Large-scale Structure Formation?

We develop the formalism to investigate therelation between the evolution of the large-scale(quasi) linear structure and that of the small-scalenonlinear structure in Newtonian cosmology within theLagrangian framework. In doing so, we first derive thestandard Friedmann expansion law using the averagingprocedure over the present horizon scale. Then thelarge-scale (quasi) linear flow is defined by averaging the full trajectory field over a large-scaledomain, but much smaller then the horizon scale. Therest of the full trajectory field is supposed todescribe small-scale nonlinear dynamics. We obtain the evolution equations for the large-scale andsmall-scale part of the trajectory field. These arecoupled each other in most general situations. It isshown that if the shear deformation of fluid elements is ignored in the averaged large-scaledynamics, the small-scale dynamics is described byNewtonian dynamics in an effectiveFriedmann-Robertson-Walker (FRW) background with a localscale factor. The local scale factor is defined by the sum of theglobal scale factor and the expansion deformation of theaveraged large-scale displacement field. This means thatthe evolution of small-scale fluctuations is influenced by the surrounding large-scale structurethrough the modification of FRW scale factor. The effectmight play an important role in the structure formationscenario.     

A Closed Contour of Integration in Regge Calculus

The analytic structure of the Regge action on a cone in d dimensions over a boundary of arbitrary topology is determined in simplicial minisuperspace. The minisuperspace is defined by the assignment of a single internal edge length to all 1-simplices emanating from the cone vertex, and a single boundary edge length to all 1-simplices lying on the boundary. The Regge action is analyzed in the space of complex edge lengths, and it is shown that there are three finite branch points in this complex plane. A closed contour of integration encircling the branch points is shown to yield a convergent real wave function. This closed contour can be deformed to a steepest descent contour for all sizes of the bounding universe. In general, the contour yields an oscillating wave function for universes of size greater than a critical value which depends on the topology of the bounding universe. For values less than the critical value the wave function exhibits exponential behaviour. It is shown that the critical value is positive for spherical topology in arbitrary dimensions. In three dimensions we compute the critical value for a boundary universe of arbitrary genus, while in four and five dimensions we study examples of product manifolds and connected sums.     

Tensor Expressions for Solving Einstein's Equations by the Method of Sequential Approximation

The main aim of this paper is to develop a mathematical tool for General Relativity (GR). For this purpose useful tensor expressions have been worked out, which considerably ease various calculations using the sequential approximation in Einstein's GR. Based upon these expressions, compact and explicit formulae have been worked out for the covariant and contravariant components of the metric tensor and its determinant.     

On a Static Solution of the Einstein Equation with Incoming and Outgoing Radiation

The Einstein equation with T = k k + where k, l are null is considered with spherical symmetry and staticity. The solution has a naked singularity and is not asymptotically flat. However, it may be interpreted as an envelope for any static spherical body making it more massive. Such an interpretation and some of its implications are detailed.     

Letter: A Potential for the Lanczos Spintensor in Kerr Geometry

We show a generator of the Lanczos spintensorfor a rotating black hole.     

Letter: A Potential for the Radiative Part of the Lienard Wiechert Field

We show a superpotential totally non-local whichgenerates the radiative part of the Maxwell tensor ofLienard-Wiechert.