Quantum Geometry, Matrix Theory, and Gravity Hardback

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.