Gravity on a Parallelizable Manifold. Exact Solutions

The wave type field equation^a =^a, where ^ais a coframe field on a space-time, was recentlyproposed to describe the gravity field. This equationhas a unique static, spherically symmetric, asymptotically flat solution, whichleads to the viable Yilmaz–Rosen metric. We showthat the wave type field equation is satisfied by thepseudo-conformal frame if the conformal factor isdetermined by a scalar 3D-harmonic function. This functioncan be related to the Newtonian potential of classicalgravity. So we obtain a direct relation between thenon-relativistic gravity and the relativistic model: every classical exact solution leads to asolution of the field equation. With this result weobtain a wide class of exact, static metrics. We showthat the theory of Yilmaz relates to thepseudo-conformal sector of our construction. We derive also aunique cosmological (time dependent) solution of thedescribed type.     

Gorenstein injective envelopes and covers over n-perfect rings

We prove the existence of Gorenstein injective envelopes and covers over n-perfect rings for some classes of modules associated with a dualizing bimodule.     

VALUE DISTRIBUTION THEORY AND DIOPHANTINE APPROXIMATION

In this paper, we will introduce some problems and results between Diophantine approximation and value distribution theory.     

A New Look at the Ashtekar–Magnon Energy Condition

In 1975, Ashtekar and Magnon showed that anenergy condition selects a unique quantization procedurefor hypersurface orthogonal observers in general, curvedspacetimes. We generalize this result in two important ways, by eliminating the need toassume a particular form for the (quantum) Hamiltonian,and by considering the surprisingly nontrivial extensionto non-minimal coupling, for which the classical Hamiltonian differs from the classical energycalculated from the stress-energy tensor.     

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.     

螺浆烷

本文综述了螺浆烷的最新进展,详细叙述了螺浆烷的合成、结构与性质,特别是小螺浆烷的张力能及桥头-桥头碳-碳单键的价键状态。     

Topology Change in (2+1)-Dimensional Gravity with Non-Abelian Higgs Field

We study topology change in (2+1)D gravity coupling with non-Abelian SO(2, 1) Higgs field from the point of view of Morse theory. It is shown that the Higgs potential can be identified as a Morse function. The critical points of the latter (i.e. loci of change of the spacetime topology) coincide with zeros of the Higgs field. In these critical points the two-dimensional metric becomes degenerate, but the curvature remains bounded.     

On Non-Riemannian Domain Walls

Two classes of non-Riemannian domain walls are obtained as distributional planar sources for the linearized Einstein-Cartan (EC) field equations of gravity. The first class represents spin polarized particles distributed on the non-Minkowskian side of the wall and an analogy with the ferromagnetic domains is displayed since the spin distributions are different on both sides of the walls. The other class represents a gravitational analog of Type I superconductor where Cartan torsion plays the role of the magnetic field. The interior solution is obtained by using matching conditions in EC-gravity and is matched to a torsionless vacuum in the last case.     

细胞动力学研究VI. 厌氧菌生长过程热化学特征

用LKB2277生物活性检测系统测定了三种厌氧菌---吉氏类杆菌、艰难梭状芽胞杆菌、黑色消化球菌的生长发热功率曲线。根据广义logistic方程, 建立了细菌生长过程的热动力学方程:ln[P/(Pm-P)^v^+^1]=ln[P0/(Pm-P0)^v^+^1]+k.t。由此热动力学方程, 求得了细菌的生长常数k, 根据Arrhenius公式求得吉氏菌的生长活化能Ea=59.7kj/mol, 应用过渡态理论得到吉氏菌在不同温度下的活化力学参数, 这个热动力学方程描述的是一系列不规则的细菌生长过程发热曲线, 将它与经典的指数模型和logistic模型进行比较, 它具有更广泛的适用性。     

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。