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arXiv 1712.04537hep-thgr-qchep-ph
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超统一场论与引力规范几何对偶

Hyperunified field theory and gravitational gauge-geometry duality

Yue-Liang Wu

备注：
63 pages, published version, typos corrected, references rearranged
发表信息：
Eur.Phys.J. C78 (2018) no.1, 28
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摘要：

基于规范不变性、坐标无关性和共形标度对称性的基本假设，建立了超统一的场论。所有的基本粒子被合并到一个单一的超旋量场中，所有的基本力被统一到一个由超自旋规范对称性SP（1，$D_h$ -1）支配的基本相互作用中。证明了超时空的维数$D_h$与基本粒子的超自旋荷有关。双标架超时空的超引力场纤维束结构是以全局平坦的闵可夫斯基超时空为基时空，局部平坦的超引力场时空为纤维而自然出现的，它被看作是一个动态出现的具有非对易几何特征的超时空。超引力场作为类Goldstone场起着重要作用，揭示了规范对称性的引力起源。规范-引力和引力-几何的对应导致了引力规范-几何对偶。在量子场论的框架内分析了超统一场论的基本性质和基本尺度问题，使我们能够在导出具有守恒流的规范引力方程和类爱因斯坦型及以上的几何引力方程时描述自然规律。

英文摘要：

A hyperunified field theory is built in detail based on the postulates of gauge invariance and coordinate independence along with the conformal scaling symmetry. All elementary particles are merged into a single hyper-spinor field and all basic forces are unified into a fundamental interaction governed by the hyper-spin gauge symmetry SP(1,$D_h$-1). The dimension $D_h$ of hyper-spacetime is conjectured to have a physical origin in correlation with the hyper-spin charge of elementary particles. The hyper-gravifield fiber bundle structure of biframe hyper-spacetime appears naturally with the globally flat Minkowski hyper-spacetime as a base spacetime and the locally flat hyper-gravifield spacetime as a fiber that is viewed as a dynamically emerged hyper-spacetime characterized by a non-commutative geometry. The gravitational origin of gauge symmetry is revealed with the hyper-gravifield that plays an essential role as a Goldstone-like field. The gauge-gravity and gravity-geometry correspondences bring about the gravitational gauge-geometry duality. The basic properties of hyperunified field theory and the issue on the fundamental scale are analyzed within the framework of quantum field theory, which allows us to describe the laws of nature in deriving the gauge gravitational equation with the conserved current and the geometric gravitational equations of Einstein-like type and beyond.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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