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强子的芬斯勒几何和吕拉几何 (宇宙学方面)——强子结构的芬斯勒几何和吕拉几何(拓

强子的芬斯勒几何和吕拉几何 (宇宙学方面)——强子结构的芬斯勒几何和吕拉几何(拓

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  • ISBN:9787576702002
  • 装帧:一般胶版纸
  • 册数:暂无
  • 重量:暂无
  • 开本:其他
  • 页数:200
  • 出版时间:2023-03-01
  • 条形码:9787576702002 ; 978-7-5767-0200-2

内容简介

本书是一部英文版的微分几何专著。本书介绍了一个称为强子的亚原子粒子扩展结构的芬斯勒空间,以此来发展其内部对称性.芬斯勒几何学的这一新的应用领域,及其在微局部域中对该时空的量化,实际上可以生成量子场方程.作为宇宙论的结果,人们已经详细描述了宇宙的非奇异起源,以及早期进化和标准宇宙论所遇到问题的解决.实际上,现在的应用展示了微局部时空中芬斯勒几何的各向异性特征.还介绍了吕拉几何的解释性说明,它是对黎曼几何的一种修正,将度规函数引入到少结构流形中.此类说明无法以任何其他形式使用.在与外尔几何非常相似的吕拉几何标架中,我们讨论了拓扑缺陷的某些物理特征,例如畴壁、宇宙弦、单极、由假定的宇宙大爆炸附近的早期宇宙中的相变产生的纹理。

目录

Prologue 1 Finsler Space of Hadronic Matter Extension 1.1 Metric Function: Positive nth Root of a nth Order Form 1.2 Finsler Spaces 1.3 Geodesic of the Finsler Spaces 1.4 Indicatrix 1.5 Curvature Tensor 1.6 Minkowski Spacetime as a Finsler Space 1.7 Finslerian Microlooal Spaeetime 1.8 The Macrospace 1.9 Geodesic of the Microspace References 2 Wave Equations in Finsler Space 2.1 Classical Wave Function 2.2 Quantized Space-time 2.3 Microdomain as Quantized Finsler Space 2.4 Field Equation in Finsler Space 2.5 External Electromagnetic Field 2.6 Electromagnetic Field in the Finsler Space 2.7 Electromagnetic Interaction 2.8 General Coordinate Transformation References 3 Field Equations in the Associated Riemannian Spaces 3.1 Associated Riemannian Space 3.2 Dirac Equation in Robertson-Walker Spacetime 3.3 Homogeneous Solutions for Φ(v) and Φc (v) 3.4 Electromagnetic Interaction References 4 Internal Symmetry of Hadrons, Hadron Fields and Interaction 4.1 Particle Mass: A Relation 4.2 The Operators Dl and their Commutation Relations 4.3 Additional Quantum Numbers of Hadron-Constituent 4.4 Internal Symmetry of Hadrons 4.5 Mesons and Baryons 4.6 Hadron Fields and States 4.7 Dynamics of Strong Interaction and S-matrix Axioms References 5 Cosmological Consequences: Early Universe 5.1 Early Universe as a Thermodynamically Open System 5.2 Specific Entropy Per Baryon 5.3 Quantum Creation of Matter 5.4 Particle Creation after the Planck Order Time 5.5 Particles with very Large Mass References 6 Modified General Relativity and Bulk Viscosity 6.1 Early Universe with Bulk Viscosity 6.2 Modified General Relativity 6.3 Early Universe with MGR 6.4 Mild Inflation in the Early Universe 6.5 Bulk Viscosity in the Early Universe under MGR 6.6 Causal Homogenization Condition 6.7 Cosmological Constant Problem References 7 A Modified Riemannian Geometry: Lyra Geometry 7.1 Introduction 7.2 Foundation of Lyra Geometry 7.3 Lyra Manifold as a Modified Riemannian Manifold 7.4 Geodesics in Lyra Manifold 7.5 Curvature Tensor 7.6 DKP Field in Lyra Geometry 7.7 Spinorial Field in Lyra Geometry 7.8 Gravitational Field Equations in Lyra Geometry References 8 Topological Defects in Lyra Geometry 8.1 Introduction 8.2 Global Monopoles 8.3 Domain Walls 8.4 Global String 8.5 Global Texture References Index 编辑手记
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作者简介

萨提亚·桑卡尔·德(Satya Sankar De),印度数学家,世界科学家联合会的会员,加尔各答大学的前任应用数学教授。

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