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