Quantum Geometry, Matrix Theory, and Gravity

By Harold C. Steinacker

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.on in a broader context.on in a broader context.on in a broader context.

• Format: Hardcover
• Language: English
• ISBN: 1009440780
• ISBN13: 9781009440783
• Release Date: April 2024
• Publisher: Cambridge University Press
• Length: 420 Pages
• Weight: 2.07 lbs.
• Dimensions: 0.9" x 7.0" x 10.0"