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Quantum Geometry, Matrix Theory, and Gravity
Harold C. Steinacker
出版
Cambridge University Press
, 2024-04-11
主題
Science / Physics / Mathematical & Computational
Science / Physics / General
ISBN
1009440780
9781009440783
URL
http://books.google.com.hk/books?id=jP_5EAAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
Building on mathematical structures familiar from quantum mechanics, this book provides an introduction to quantization in a broad context before developing a framework for quantum geometry in Matrix Theory and string theory. Taking a physics-oriented approach to quantum geometry, this framework helps explain the physics of Yang-Mills-type matrix models, leading to a quantum theory of space-time and matter. This novel framework is then applied to Matrix Theory, which is defined through distinguished maximally supersymmetric matrix models related to string theory. A mechanism for gravity is discussed in depth, which emerges as a quantum effect on quantum space-time within Matrix Theory. Using explicit examples and exercises, readers will develop a physical intuition for the mathematical concepts and mechanisms. It will benefit advanced students and researchers in theoretical and mathematical physics, and is a useful resource for physicists and mathematicians interested in the geometrical aspects of quantization in a broader context.