Table of Contents
Chapter 1. Preface
Chapter 2. Introduction
Chapter 3. Scale Transformations
Chapter 4. Fractals
Chapter 5. A Minimum Scale?
Chapter 6. The Renormalisation Group
Chapter 7. The Asymptotic Safety Scenario
Chapter 8. Quantum Gravity on the Lattice
Chapter 9. Is the Dimension of Spacetime Scale Dependent?
Chapter 10. Scale Dependent Spacetime
Chapter 11. Final Thoughts
“This book gives a good account of a very interesting field of research, covering work by the author and the quantum gravity community. One of the most important results described in this book involves the dimension of spacetime at various distance scales.” – Professor Emeritus Holger Bech Nielsen, Niels Bohr Institue. Co-creator of String Theory
Keywords: Quantum gravity, Asymptotic safety, Lattice quantum gravity, Dimensional reduction, Spectral dimension, Weyl gravity, Fractals, Scale in physics
The book is targeted at undergraduate and graduate level students. The book may also be used by professional physicists. Any University with a quantum gravity research group will find this book of value. The book may also appeal to nonprofessional layman readers interested in quantum gravity due to the accessible style.