Quantum Geometry, Matrix Theory, and Gravity by Harold C. Ste... - 9781009440783

Name: Quantum Geometry, Matrix Theory, and Gravity by Harold C. Ste... - 9781009440783
Brand: Cambridge University Press

Cambridge University Press

Quantum Geometry, Matrix Theory, and GravityAuthor(s): Harold C. Steinacker\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9781009440783, 978-1009440783\nSynopsis\nBuilding 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 YangMills-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 phys.