书目名称 | The Quantization of Gravity |
编辑 | Claus Gerhardt |
视频video | |
概述 | Presents the first compelling model for quantum gravity.Includes further advances in this second edition.Can be understood with a graduate level knowledge of mathematics |
丛书名称 | Fundamental Theories of Physics |
图书封面 |  |
描述 | .A unified quantum theory incorporating the four fundamental forces of nature is one of the major open problems in physics. The Standard Model combines electro-magnetism, the strong force and the weak force, but ignores gravity. The quantization of gravity is therefore a necessary first step to achieve a unified quantum theory. In this monograph a canonical quantization of gravity has been achieved by quantizing a geometric evolution equation resulting in a hyperbolic equation in a fiber bundle, where the base space represents a Cauchy hypersurface of the quantized spacetime and the fibers the Riemannian metrics in the base space. The hyperbolic operator, a second order partial differential operator, acts both in the fibers as well as in the base space. In this second edition new results are presented which allow the solutions of the hyperbolic equation to be expressed as products of spatial and temporal eigenfunctions of self-adjoint operators. These eigenfunctions form complete bases in appropriate Hilbert spaces. The eigenfunctions depending on the fiber elements are a subset of the Fourier kernel of the symmetric space SL(n,R)/SO(n), where n is the dimension of the base space; |
出版日期 | Book 2024Latest edition |
关键词 | Quantum theory of gravity; Quantization of gravity; Unified quantum theory; Unified field theory; Yang-M |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-031-67922-3 |
isbn_softcover | 978-3-031-67924-7 |
isbn_ebook | 978-3-031-67922-3Series ISSN 0168-1222 Series E-ISSN 2365-6425 |
issn_series | 0168-1222 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |