Quantum Geometry Matrix Theory And Gravity

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Quantum Geometry, Matrix Theory, and Gravity

Author: Harold C. Steinacker
language: en
Publisher: Cambridge University Press
Release Date: 2024-04-11
This book describes quantum geometry in the framework of Matrix Theory, which offers a quantum theory of space-time and matter.
Quantum Geometry, Matrix Theory, and Gravity

Author: Harold C. Steinacker
language: en
Publisher: Cambridge University Press
Release Date: 2024-04-11
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.
Quantum Geometry

Author: Jan Ambjørn
language: en
Publisher: Cambridge University Press
Release Date: 1997-06-19
Describes random geometry and applications to strings, quantum gravity, topological field theory and membrane physics.