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Special relativity and theory of gravity via maximum symmetry and localization

Science China Mathematics 2008年第4期51卷 568-603页

作者： guo hanying institute of theoretical physics Chinese Academy of Sciences Beijing 100080 China institute of theoretical physics Chinese Academy of Sciences Beijing China

Like Euclid, Riemann and Lobachevski geometries are on an almost equal footing, based on the principle of relativity of maximum symmetry proposed by Professor Lu Qikeng and the postulate on invariant universal constants c and R, the de Sitter/anti-de Sitter (dS/AdS) special relativity on dS/AdS-space with radius R can be set up on an almost equal footing with Einstein’s special relativity on the Minkowski-space in the case of R→∞.Thus the dS-space is coin-like: a law of inertia in Beltrami atlas with Beltrami time simultaneity for the principle of relativity on one side, and the proper-time simultaneity and a Robertson-Walker-like dS-space with entropy and an accelerated expanding S 3 fitting the cosmological principle on another side.If our universe is asymptotic to the Robertson-Walker-like dS-space of R ? (3/Λ)1/2, it should be slightly closed in O(Λ) with entropy bound S ? 3πc 3 k B /ΛG?. Contrarily, via its asymptotic behavior, it can fix on Beltrami inertial frames without ‘an argument in a circle’ and acts as the origin of inertia.There is a triality of conformal extensions of three kinds of special relativity and their null physics on the projective boundary of a 5-d AdS-space, a null cone modulo projective equivalence [ $ \mathcal{N} $ ] ? ? P (AdS 5). Thus there should be a dS-space on the boundary of S 5 × AdS 5 as a vacuum of supergravity.In the light of Einstein’s ‘Galilean regions’, gravity should be based on the localized principle of relativity of full maximum symmetry with a gauge-like dynamics. Thus, this may lead to the theory of gravity of corresponding local symmetry. A simple model of dS-gravity characterized by a dimensionless constant g ?(ΛG?/3c 3)1/2 ～ 10?61 shows the features on umbilical manifolds of local dS-invariance. Some gravitational effects out of general relativity may play a role as dark matter.The dark universe and its asymptotic behavior may already indicate that the dS special relativity and dS-gravity be the foundati

关键词： special relativity de Sitter invariance gravity local de Sitter invariance umbilical manifold 83A05 83D05 53A35 53B50

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A DE SITTER-FRIEDMANN PHASE TRANSITION MODEL

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Chinese Journal of Astronomy and Astrophysics 1982年第3期 170-172页

作者： guo hanying(institute of theoretical physics, Academia Sinica)Zou ZHENLONG (Beijing Observatory, Academia Sinica)

By means of a simple finite temperature 4 model, we have shown that a new type of singularity free cosmological models could be established by taking a series of important equantum and statistical effects into account such as spontaneous symmetry breaking, trace anomaly and particle creation, symmetry restoration at high temperature through phase transition and so on. To begin with, the state of the universe would be a cold sigularity free anti-de Sitter one rather than a hot one. Then associated with the particle creation, the temperature would become higher and higher, as soon as it would reach a critical value Tc, a second-order phase transition would take place and the universe would transfer to a hot radiation dominated Friedmann state. The phase transition could be interpreted as the Big Bang and there would not exist singularity before it.

关键词： A DE SITTER-FRIEDMANN PHASE TRANSITION MODEL DE

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A NONLINEAR σ-MODEL WITH INTRINSIC TOPOLOGICAL CHARGES

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Chinese Science Bulletin 1982年第4期27卷 377-381页

作者：郭汉英 institute of theoretical physics Academia Sinica

We construct a nonlinear σ-model with intrinsic topological properties. In this model, the independent nonlinear complex scalar field π(x) and its derivatives will give out a U(1) connection on a 2-dimensional sphere S^2. This connection has just the same form as the Wu-Yang potentials for a monopole. The corresponding topological charge has the same property of monopole. However, in our model there are not any gauge potentials introduced in advance.

关键词： topological scalar intrinsic A NONLINEAR gauge bundle Lagrangian advance nontrivial valued

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GAUGE THEORY AND FUNCTIONAL HARMONIC MAPPING

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数学物理学报 1981年第2期 257-259页

作者：郭汉英 institute for theoretical physics Academia Sinica

It is shown that the loop integral phase factors in the gauge theory (i. e. the elements of holonomy group of the gauge potentials) as the functional mappings from loops passing a given point in the space-time to the holonomy group H_G of the gauge group G can be regarded as a harmonic mapping in the functional sense. The corresponding functional harmonic equations are equivalent to the sourceless Yang-Mills equatios.

关键词： GAUGE THEORY AND FUNCTIONAL HARMONIC MAPPING

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GAUGE THEORY AND FUNCTIONAL HARMONIC MAPPING

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Acta Mathematica Scientia 1981年第2期1卷 257-259页

作者：郭汉英 institute for theoretical physics Academia Sinica

It is shown that the loop integral phase factors in the gauge theory (*** elementsof holonomy group of the gauge potentials) as the functional mappings from loops passinga given point in the space-time to the holonomy group H_G of the gauge group G can be re-garded as a harmonic mapping in the functional *** corresponding functional har-monic equations are equivalent to the sourceless Yang-Mills equatios.

关键词： GAUGE THEORY AND FUNCTIONAL HARMONIC MAPPING As

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NON-ABELIAN GAUGE THEORIES AND REIMANNIAN GEOMETRY ON PRINCIPAL BUNDLE WITH A SCALAR FUNCTION OR FUNCTIONAL

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Chinese Science Bulletin 1983年第1期28卷 34-39页

作者：安瑛陈时郭汉英 institute of theoretical physics Academia Sinica Beijing institute of theoretical physics Academia Sinica Beijingn the previous paper we have discussed the Kaluza type theories on the Minkowskian space-time M~4 and the physical contents of various U_1 gauge theories discribed by U_1 principal bundles on M~4 with an arbitrary scalar function or functional. In this note we consider the case of non-Abelian gauge theories. It is shown that

In the previous paper we have discussed the Kaluza type theories on the Minkowskian space-time M4 and the physical contents of various U1 gauge theories discribed by U1 principal bundles on M4 with an arbitrary scalar... 详细信息

关键词： gauge scalar bundles arbitrary invariant usual meaningful fibre unified dimensions

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关于玻色弦的几何量子化(二)

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高能物理与核物理 1989年第6期13卷 503-511页

作者：虞跃郭汉英中国科学院高能物理研究所中国科学院理论物理研究所

本文给出在金纯极化下玻色弦的Hilbert空间和Virasoro代数生成元的表示.我们证明了Virasoro代数的中心项可以解释为弦的全纯Fock丛的曲率.反常相消条件是弦的全纯Fock丛和全纯鬼真空丛的乘积丛的曲率为零.我们还讨论了经典的和量子的BRS... 详细信息

本文给出在金纯极化下玻色弦的Hilbert空间和Virasoro代数生成元的表示.我们证明了Virasoro代数的中心项可以解释为弦的全纯Fock丛的曲率.反常相消条件是弦的全纯Fock丛和全纯鬼真空丛的乘积丛的曲率为零.我们还讨论了经典的和量子的BRST算子、鬼算子和反鬼算子的几何意义.

关键词：玻色弦几何量子化算子

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Polyethylene interfacial dielectric layer for organic semiconductor single crystal based field-effect transistors

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Chinese Chemical Letters 2024年第4期35卷 431-435页

作者： Min Chen Boyu Peng Xuyun guo Ye Zhu hanying Li Department of Polymer Science and Engineering MOE Key Laboratory of Macromolecular Synthesis and FunctionalizationInternational Research Center for X PolymersShanxi-Zheda Institute of Advanced Materials and Chemical EngineeringZhejiang UniversityHangzhou 310027China Department of Applied physics Research Institute for Smart EnergyThe Hong Kong Polytechnic UniversityHong Kong 999077China

Organic semiconductor single crystals(OSSCs) have shown their promising potential in high-performance organic field-effect transistors(OFETs). The interfacial dielectric layers are critical in these OFETs as they not only govern the key semiconductor/dielectric interface quality but also determine the growth of OSSCs by their wetting properties. However, reported interfacial dielectric layers either need rigorous preparation processes, rely on certain surface chemistry reactions, or exhibit poor solvent resistance, which limits their applications in low-cost, large-area, monolithic fabrication of OSSC-based OFETs. In this work, polyethylene(PE) thin films and lamellar single crystals are utilized as the interfacial dielectric layers, providing solvent resistive but wettable surfaces that facilitate the crystallization of 6,13-bis(tri-isopropylsilylethynyl)pentacene(TIPS-PEN) and 6,13-bis(triisopropylsilylethynyl)-5,7,12,14-tetraazapentacene(TIPS-TAP). As evidenced by the presence of ambipolar behavior in TIPS-PEN single crystals and the high electron mobility(2.3 ± 0.34 cm^(2)V^(-1)s^(-1)) in TIPS-TAP single crystals, a general improvement on electron transport with PE interfacial dielectric layers is revealed, which likely associates with the chemically inertness of the saturated C-H bonds. With the advantages in both processing and device operation, the PE interfacial dielectric layer potentially offers a monolithic way for the enhancement of electron transport in solution-processed OSSC-based OFETs.

关键词： Polyethylene Interfacial dielectric layer Organic semiconductor Single crystal Organic field-effect transistors

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De Sitter 不变的真空态与温度格林函数

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Chinese Journal of Astronomy and Astrophysics 1984年第4期 322-328页

作者：周敏耀陈良范郭汉英上海师范学院物理系中国科学院理论物理研究所

应用静态时空中正则量子化方法计算了静态de Sitter时空中实标量场的温度格林函数.进一步借用格林函数生成泛函的欧氏路径积分形式证明了T=（A/3）1/2/2π的温度格林函数（∧是正的宇宙常数）与4维欧氏球面上的格林函数GE是等同的,从而... 详细信息

应用静态时空中正则量子化方法计算了静态de Sitter时空中实标量场的温度格林函数.进一步借用格林函数生成泛函的欧氏路径积分形式证明了T=（A/3）1/2/2π的温度格林函数（∧是正的宇宙常数）与4维欧氏球面上的格林函数GE是等同的,从而说明了de Sitter不变的真空态相对于一个惯性测量系统（短程观察者）是一个具有Hawking温度T=（∧/3）1/2/2π的量子混合态.

关键词：真空态 De Sitter 格林函数 GREEN函数四维球面路径积分混合态涡旋态(超导电性) 超导态

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Difference discrete connection and curvature on cubic lattice

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Science China Mathematics 2006年第11期49卷 1458-1476页

作者： WU Ke, ZHAO Weizhong & guo hanying Department of Mathematics, Capital Normal University, Beijing 100037, China institute of theoretical physics, Chinese Academy of Sciences, Beijing 100080, China Department of Mathematics Capital Normal University Beijing China institute of theoretical physics Chinese Academy of Sciences Beijing China

In a way similar to the continuous case formally, we define in different but equivalent manners the difference discrete connection and curvature on discrete vector bundle over the regular lattice as base space. We deal with the difference operators as the discrete counterparts of the derivatives based upon the differential calculus on the lattice. One of the definitions can be extended to the case over the random lattice. We also discuss the relation between our approach and the lattice gauge theory and apply to the discrete integrable systems.

关键词： discrete connection, discrete curvature, noncommutative calculus, lattice gauge theory, discrete Lax pair.

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