Implications upon theory discrimination of an accurate measurement of the time rate of change of the gravitational “constant” G and other cosmological parameters

A substantial improvement in the accuracy of ˙ G tests (The dot denotes the time derivative.) would make it realistic to speak in terms of a measurement of ˙G , rather than merely a smaller upper bound on | ˙G|. We show that the accuracy Δ | ˙G/G|≈? 10^‐14 yr^‐1 may be sufficient, given the accuracy of other cosmological parameters, to observe effects predicted by higher dimensions theories and, hence, to discriminate among different models. The ˙G design goal for the SEE (Satellite Energy Exchange) mission is Δ (˙G/G) ≈? 10^‐14 yr^‐1.     

Scaling gauge invariance and constancy of the speed of light

We prepose to extend Maxwell's equations of electromagnetism by treating the speed of light as a scalar function of space-time. This leads to scaling gauge invariance. As a consequence we find a conserved magnetic monopole current and nonconservation of electric charge.     

再谈洛伦兹变换的推导

评论了仅仅依据光速不变假设和相对性原理推导洛伦兹变换公式的方法.     

Derivation of the General Case Sagnac Result Using Non-Time-Orthogonal Analysis

The Sagnac time delay and fringe shift dependency on angular velocity and enclosed area are derived from the rotating reference frame using non-time-orthogonal (NTO) tensor analysis. NTO analysis differs from traditional approaches by postulating that the continuous and single valued nature of physical time constrains simultaneity in a rotating frame to be unique (and thus not a matter of convention.) This implies anisotropy in the physical, local speed of light and invalidity of the hypothesis of locality for NTO frames. The Sagnac relationship for the most general case, in which the area enclosed is not circular and does not have the axis of rotation passing through its center, is determined.     

由爱因斯坦狭义相对论的基本原理导出洛仑兹变换的一种方法

本文从教学角度讨论了由狭义相对论的两条基本假设严格导出洛仑兹变换的问题,同时指出了某些流行的教材中处理这一内容时的不妥之处,并给出了解决方案．     

Analysis of the Anomalous Brillet and Hall Experimental Result

The persistent, second-order, anomalous signal found in the Brillet and Hall experiment is derived by applying 4D differential geometry in the rotating earth frame. By incorporating the off diagonal time-space components of the rotating frame metric directly into the analysis, rather than arbitrarily transforming them away, one finds a signal dependence on the surface speed of the earth due to rotation about its axis. This leads to a Brillet-Hall signal prediction in remarkably close agreement with experiment. No signal is predicted from the speed of the earth in solar or galactic orbit, as the associated metric for gravitational orbit has no off diagonal component. To corroborate this result, a repetition by other experimentalists of the Brillet-Hall experiment, in which the test apparatus turns with respect to the earth surface, is urged.     

从陈子定理看相对论力学

通过巧妙地让陈子定理包含光速，可以得到粒子运动的相对论速度基本关系．根据这个相对论速度基本关系，可以推导出相对论质点动力学方程，能量质量关系，动量能量关系，洛伦兹变换等结果．     

光波多普勒效应的简单证明

提出了一种应用相对论的时间膨胀效应直接证明光波多普勒效应的简单方法.     

物理量单位的智能导出算法及其应用

推导物理量的单位是物理作业中不可缺少的重要环节。提出一种物理量单位的智能导出算法,即计算机根据物理量的运算式自动推导出待求物理量的单位。实验结果表明,物理量单位导出及换算算法的结果正确,对算术运算式中的物理量单位导出及换算的正确率为100%,且物理量数值的运算正确。     

由速度间隔不变性直接推导相对论动力学

证明了若采用Lorentz速度变换的微分形式—速度间隔不变性,即可由经典力学直接导出狭义相对论的动力学规律。     

On gravity localization under Lorentz violation in warped scenario

Recently Rizzo studied the Lorentz Invariance Violation (LIV) in a brane scenario with one extra dimension where he found a non-zero mass for the four-dimensional graviton. This leads to the conclusion that five-dimensional models with LIV are not phenomenologically viable. In this work we re-examine the issue of Lorentz Invariance Violation in the context of higher-dimensional theories. We show that a six-dimensional geometry describing a string-like defect with a bulk-dependent cosmological constant can yield a massless 4D graviton, if we allow the cosmological constant variation along the bulk, and thus can provides a phenomenologically viable solution for the gauge hierarchy problem.     

从相对论看物质波的频率

本文从ｐ＝　ｋ及相对论协变性出发，得到Ｅ＝ｈｖ是粒子总能量的结论，并对非相对论情况作了说明。     

类In离子的能级结构参数的研究

在全相对论理论框架下,研究了类In等电子序(Ba VIII-Nd XII)低激发态组态5s~24f和5s`25p间的光谱性质.系统地研究了Breit相互作用和量子电动力学(QED)效应对能级的影响.离子Pr~(~(10+))附近出现相对论轨道4f-5p能级交叉,窄的能级间隔可以使得跃迁波长在现代激光范围,这可能设计成原子钟.计算得到Pr~(10+)基态和激发态磁偶极和电四极超精细结构常数.目前的计算结果可以为实验测量提供理论依据.     

n维相对论粒子的量子态密度及其应用

利用半经典近似的方法,推导出了n维相对论自由粒子量子态密度以及黑体辐射中两类粒子的辐射公式的统一表达式,并且给出了低维情况下的表达式,所得结果与三维空间的预期结果一致.这对于深化低维体系的教学与研究具有重要的意义.     

Towards Lambda-nucleon coupling constants in relativistic mean field theory

New parameter sets for Λ-nucleon coupling in relativistic mean field theory are proposed based on nucleon-nucleon effective interaction PK1. Hypernuclear properties are described well through a systematical study. Effects of hyperon tensor coupling term on spin-orbit splitting are also investigated self-consistently.