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

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.     

On limiting field strengths in gravitation

We consider through the equivalence principle the existence of maximal and minimal field strengths in gravitation. We explore the consequences for gravitational collapse and for explaining the rotation curve of galaxies without invoking dark matter. Other interesting implications like maximal size of planetary systems are outlined.1. Note that, in our case, such results, both for electromagnetic and gravitational fields, are obtained when torsion is considered [8]: In fact, we have arrived at a minimum radius, for instance, of the electron, starting explicitly frm a modified Poisson's equation when a term containing the spin is incorporated through torsion.     

THE CHARACTERISTIC FINITE DIFFERENCE METHOD FOR THREE-DIMENSIONAL MOVING BOUNDARY VALUE PROBLEM

The software for oil-gas transport and accumulation is to describe the history of oil-gas transport and accumulation in basin evolution. It is of great value in rational evaluation of prospecting and exploiting oil-gas resources. The mathematical model can be discribed as a coupled system of nonlinear partial differential equations with moving boundary value problem. For a generic case of the three-demensional bounded region, bi this thesis, the effects of gravitation、buoyancy and capillary pressure are considered, we put forward a kind of characteristic finite difference schemes and make use thick and thin grids to form a complete set, and of calculus of vaviations, the change of variable, the theory of prior estimates and techniques, Optimal order estimates in l~2 norm are derived for the error in approximate assumption, Thus we have completely solved the well-known theoretical problem proposed by J. Douglas, Jr.     

Unification and infinite series

Some infinite series are analysed on the basis of the hypergeometric function and integer structure and modular rings. The resulting generalized functions are compared with differentiation of the ‘mother’ series.     

On Classical Solutions of the Nordström-Vlasov System

Abstract

The Nordström-Vlasov system describes the dynamics of a self-gravitating ensemble of collisionless particles in the framework of the Nordström scalar theory of gravitation. We prove existence and uniqueness of classical solutions of the Cauchy problem in three dimensions and establish a condition which guarantees that the solution is global in time. Moreover, we show that if one changes the sign of the source term in the field equation, which heuristically corresponds to the case of a repulsive gravitational force, then solutions blow up in finite time for a large class of initial data. Finally, we prove global existence of classical solutions for the one dimensional version of the system with the correct sign in the field equation.     

A note on teleparallel Killing vector fields in Bianchi type Ⅷ and Ⅸ space-times in teleparallel theory of gravitation

In this paper we classify Bianchi type Ⅷ and Ⅸ space-times according to their teleparallel Killing vector fields in the teleparallel theory of gravitation by using a direct integration technique.It turns out that the dimensions of the teleparallel Killing vector fields are either 4 or 5.From the above study we have shown that the Killing vector fields for Bianchi type VIII and IX space-times in the context of teleparallel theory are different from that in general relativity.     

Natural fermion mass hierarchy and mixings in family unification

We present an SU(9)$\mathit{SU}(9)$ model of family unification with three light chiral families, and a natural hierarchy of charged fermion masses and mixings. The existence of singlet right handed neutrinos with masses about two orders of magnitude smaller than the GUT scale, as needed to understand the light neutrinos masses via the see-saw mechanism, is compelling in our model.     

基于引力场理论的复杂网络路由选择策略研究

利用引力场理论对网络传输过程中节点激发的引力场进行了描述,建立了节点的引力场方程,引入α和γ两个参数,用于调节数据传输对节点畅通程度、节点传输能力和路径长度的依赖程度．基于节点的引力场,提出了一种高效的路由选择算法,该算法下数据包将沿着所受路径引力最大的方向进行传递．为检验算法的有效性,引入有序状态参数卵,利用其由自由流到拥塞态的指标流量相变值度量网络的吞吐量,并通过节点的介中心值B分析网络的传输性能和拥塞分布．针对算法在不同α,γ取值条件下的路由情况进行了仿真．仿真结果显示,与传统最短路由算法相比,本文算法将网络传输能力提高了数倍,有效地均衡了节点的介中心值分布,传输路径平均长度（Lavg）随负载量R的增加表现出先增后减的变化趋势,而参数α与γ值的变化对网络传输能力几乎没有影响,说明本文路由算法的性能不依赖于α与γ,对于可行域内任意的α与γ算法都能保证网络传输能力近似相等．     

重力与粘弹性对汶川地震同震及震后变形的影响

分别建立弹性与粘弹性的分层半空间模型, 利用PSGRN/PSCMP程序,模拟计算汶川地震的同震与震后位移, 并与实际GPS观测资料进行了简单对比分析,进而探讨重力及粘度对同震与震后位移的影响. 结果显示, 低粘度模型对短期内震后位移影响较大, 其造成的震后地壳运动接近4mm/yr, 甚至超过龙门山断裂带两侧地块间的相对运动速率. 因此,其10年尺度的差值能够反映出粘度分层对震后变形的影响,震后由于低粘度的中下地壳、地幔造成的上地壳局部运动不可忽略, 这在一定程度上支持龙门山断层下的深部作用过程可能是引发汶川地震的主要因素.