Localization and the interface between quantum mechanics, quantum field theory and quantum gravity II: The search of the interface between QFT and QG

The main topics of this second part of a two-part essay are some consequences of the phenomenon of vacuum polarization as the most important physical manifestation of modular localization. Besides philosophically unexpected consequences, it has led to a new constructive “outside-inwards approach” in which the pointlike fields and the compactly localized operator algebras which they generate only appear from intersecting much simpler algebras localized in noncompact wedge regions whose generators have extremely mild almost free field behavior.Another consequence of vacuum polarization presented in this essay is the localization entropy near a causal horizon which follows a logarithmically modified area law in which a dimensionless area (the area divided by the square of dR where dR is the thickness of a light-sheet) appears. There are arguments that this logarithmically modified area law corresponds to the volume law of the standard heat bath thermal behavior. We also explain the symmetry enhancing effect of holographic projections onto the causal horizon of a region and show that the resulting infinite dimensional symmetry groups contain the Bondi–Metzner–Sachs group. This essay is the second part of a partitioned longer paper.     

基于散体动力学理论的掘进机星轮装载机构研究

为了解决掘进机星轮对物料推力过大,物料因惯性而不随轮齿同步运动的问题,运用散体动力学理论分析掘进机装载机构的星轮轮齿推移物料的运动过程.建立力学和数学模型,推导出掘进机星轮机构装载过程中保持物料稳定运行的推力计算公式和轮齿许用加速度范围;并用计算机模拟轮齿推力与轮齿参数的关系,提出了轮齿推移物料的动力学模型和方程,为星轮装载机构的设计和研究提供了参考依据.     

一类矩阵方程的Hermite广义Hamilton解及其最佳逼近

利用矩阵的广义奇异值分解定理,得到了矩阵方程AHXA=B存在Hermite广义Hamilton解的充分必要条件,并在有解时得到了通解的表达式,同时得到了相应解集中与已知矩阵最佳逼近的Hermite广义Hamilton解和最小范数解.     

分块矩阵Drazin逆表示的一些结果(英文)

给出了分块矩阵(ABC0)在满足ADBC=0,ABCAπ=0时的Drazin逆表达式,推广了[12]的结论;并且也给出了分块矩阵(ABCO)在BCAAD=0,AπBC=0时的Drazin逆表达式。     

广义预测自适应控制及改进算法研究

控制实践中许多复杂的工业系统数学模型很难精确建立,而且工业对象的结构和参数往往具有不确定性,要建立精确的数学模型非常困难.针对此问题提出了广义预测自适应控制算法,在此基础上介绍了隐式广义预测自校正控制,对其进行仿真研究,结果证明了该算法的有效性和优越性.     

广义刚度法及其在阶梯形截面梁位移图乘计算中的应用

本文提出一种结构位移计算的方法－－广义刚度法,运用这一方法可以简化阶梯形截面梁的位移图乘计算。     

Inconsistencies in Constituent Theories of World Views: Quantum Mechanical Examples

We put forward the hypothesis that there exist three basic attitudes towards inconsistencies within world views: (1) The inconsistency is tolerated temporarily and is viewed as an expression of a temporary lack of knowledge due to an incomplete or wrong theory. The resolution of the inconsistency is believed to be inherent to the improvement of the theory. This improvement ultimately resolves the contradiction and therefore we call this attitude the ‘regularising’ attitude; (2) The inconsistency is tolerated and both contradicting elements in the theory are retained. This attitude integrates the inconsistency and leads to a paraconsistent calculus; therefore we will call it the paraconsistent attitude. (3) In the third attitude, both elements of inconsistency are considered to be false and the ‘real situation’ is considered something different that can not be described by the theory constructively. This indicates the incompleteness of the theory, and leads us to a paracomplete calculus; therefore we call it the paracomplete attitude. We illustrate these three attitudes by means of two ‘paradoxical’ situations in quantum mechanics, the wave-particle duality and the situation of non locality. This revised version was published online in July 2006 with corrections to the Cover Date.     

混凝土徐变对碳纤维片材加固混凝土梁抗弯承载力的影响

基于钢筋混凝土梁在持续荷载作用下混凝土的应力-应变本构关系,研究混凝土徐变对碳纤维片材加固混凝土梁抗弯承载力的影响规律.根据算例分析,得出随着持续荷载水平的提高,加固混凝土梁的抗弯承载力逐渐减小,抗弯承载力的增加值降低系数逐渐增大,混凝土徐变变形使碳纤维片材加固混凝土梁的抗弯承载力增加值降低2.6%左右的结果.该结果可为碳纤维片材加固混凝土结构设计提供参考.     

基于广义最大周向应变准则的断裂特性研究

裂纹尖端应力场的非奇异性常数项(T应力)对脆性或准脆性材料的断裂特性及裂尖塑性区的形状和大小都有显著的影响.为了探究T应力对脆性或准脆性材料Ⅰ～Ⅱ复合型断裂特性的影响规律,基于先前研究中提出的计及T应力影响的广义最大周向应变准则进一步讨论了T应力、裂纹尖端的临界距离r0和泊松比y对中心裂纹圆盘试件的裂纹扩展路径以及临界...