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The development of a successful theory of quantum gravity in the context of the early universe is the key next step in theoretical physics. This book takes that step by describing a coherent mathematical framework for both the evolution of discrete space–time and the quantum graviton in the Planck regime. In doing so it successfully blends developments in both loop quantum gravity and superstring theory with data from the Large Hadron Collider. The result is a coherent mathematical framework that encapsulates newer developments on both the evolution of discrete space-time and the quantum graviton in the early universe. In doing so it addresses a key issue concerning loop quantum gravity raised by Ashtekar: describing conditions for the existence of locally translation-invariant quantum states; a quantum form of the diffeomorphisms of general relativity
Key Features
- Addresses one of the key questions in theoretical physics: quantum gravity
- Accessible to graduate students
- Presents a coherent mathematical framework
- Author is winner of the President’s Medal of the Operational Research Society, the Napier medal in mathematics and the Einstein Medal of the US Marine Corps
Preface
About the Author
1 Quantum Theory
2 Computational Spin Networks and Quantum Paths in Space-Time
3 Particles in Loop Quantum Gravity
4 The Algebraic Nature of Reality
5 Implications