Building on mathematical structures familiar from quantum mechanics, this book provides an introduction to quantization in a broad context, and develops a physics-oriented framework for quantum geometry. This framework is applied to Matrix Theory, which is defined through distinguished matrix models related to string theory, leading to a quantum theory for space-time and matter. A mechanism for gravity is discussed, which emerges within Matrix Theory as a quantum effect on quantum space-time. 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 provides a useful resource for physicists and mathematicians interested in the geometrical aspects of quantization.
- Quantum Geometry, Matrix Theory, and Gravity
Harold C. Steinacker, Universität Wien, Austria
Publisher: Cambridge University Press
Publication year: 2024
Online ISBN: 9781009440776
DOI: doi.org/10.1017/9781009440776
