Understanding neutrino masses and mixings

We discuss ways to understand large neutrino mixings using new symmetries of quarks and leptons beyond the standard model for the three allowed patterns of neutrino masses: normal, inverted hierarchy and degenerate masses.     

Resolution of a Classical Gravitational Second-Law Paradox

Sheehan and coworkers have claimed [D. P. Sheehan et al., Found. Phys. 30, 1227 (2000); 32, 441 (2002); D. P. Sheehan, in Quantum Limits to the Second Law, AIP Conference Proceedings 643 (American Institute of Physics, Melville, NY, 2002), p. 391] that a dilute gas trapped between an external shell and a gravitator can support a steady state in which energy flux by particles in one direction is balanced by energy flux by radiation in the opposite direction, and in which work can be extracted from an isothermal heat reservoir, thereby violating the second law of thermodynamics. In this paper, we identify a fundamental error in their simulation and analysis of their model system that vitiates their conclusions. We analyze a simpler, exactly soluble, three-dimensional model of a very dilute gas in a gravitational field between two thermal reservoirs, and show that their conclusions are not supported for the simple model. We show that their method of simulation, when applied to either the simple model or their more complex model under simpler conditions where the answers are known, leads to unphysical results. We also show that, when appropriate sampling is done, their model gives results in accord with the second law and detailed balance.     

Friedmann Cosmology with Bulk Viscosity： A Concrete Model for Dark Energy

The universe content is considered as a non-perfect fluid with bulk viscosity and can be described by a general equation of state （endowed some deviation from the conventionally assumed cosmic perfect fluid model）. An explicitly bulk viscosity dark energy model is proposed to confront consistently with the current observational data sets by statistical analysis and is shown consistent with （not deviated away much from） the concordant A Cold Dark Matter （CDM） model by comparing the decelerating parameter. Also we compare our relatively simple viscosity dark energy model with a more complicated one by contrast with the concordant ACDM model and find our model improves for the viscosity dark energy model building. Finally we discuss the perspectives of dark energy probes for the coming years with observations.     

The Uniqueness of the World

We follow some wild speculations in trying to understand the uniqueness of our physical world, from the field concept to F-TheoryDedicated to Emilio Santos on his 70th birthday. I have enjoyed discussions with Emilio on physics for the last 40 years; in spite of disagreements on many issues, I have an everlasting admiration for him and for his approach to science     

地球卫星轨道的椭圆函数解

分析了引力势作用下地球卫星的轨道．结果表明,在考虑地球扁平率后,地球卫星的轨道可用椭圆余弦函数表示,其平衡位置近似在一椭圆上．     

Polarizable-Vacuum (PV) Approach to General Relativity

Standard pedagogy treats topics in general relativity (GR) in terms of tensor formulations in curved space-time. An alternative approach based on treating the vacuum as a polarizable medium is presented here. The polarizable vacuum (PV) approach to GR, derived from a model by Dicke and related to the TH formalism used in comparative studies of gravitational theories, provides additional insight into what is meant by a curved metric. While reproducing the results predicted by GR for standard (weak-field) astrophysical conditions, for strong fields a divergence of predictions in the two formalisms (GR vs. PV) provides fertile ground for both laboratory and astrophysical tests to compare the two approaches.     

基于共面特征点的单目视觉位姿测量误差分析

为了克服单目视觉测量中景深信息缺失的问题,运用改进的两段式迭代算法,对刚体位姿测量解算模型进行了优化.给出了特征标靶最优化布局,理论分析了标靶尺寸大小、标靶基线长度及特征圆点大小和解算准确度的关系.实验结果表明,优化的特征标靶布局、较大的特征标靶基线长度及较小的特征圆点靶标能够提高测量解算准确度.该研究对提高实际测量系统解算准确度具有一定的理论指导意义.     

开普勒二体系统的修正和统一的Runge-Lenz矢量

基于平方反比有心力系统的特性,并在二体运动系统等效的单体描述基础上,给出了开普勒二体系统的Runge-Lenz矢量的修正和统一的表达形式,尤其是通过恒等变换推导出该矢量的一种等效的张量积表达形式.研究表明,开普勒二体系统的RungeLenz矢量是由两质点相对于质心系的能动张量与相对位矢构成;给出了其守恒性的统一的数学证明;罗列并证明了该矢量的一些性质,并基于该守恒矢量讨论了质点作各类开普勒运动的判据.