Oxford University

Co-Investigators

Joseph Silk,

*University of Oxford*

Hans Westman,

*Perimeter Institute, Waterloo, Canada*

Edward Anderson,

*Pembroke, University of Cambridge, UK*

Sean Gryb,

*Perimeter Institute, Waterloo, Canada*

Project Title

Machian Quantum Gravity

Project Summary

Einstein's general relativity and quantum theory describe different things, gravity and atoms, and have remarkably different structures. To overcome this disharmony, theoreticians must unify the two theories in quantum gravity. This is the aspiration of string theory and loop quantum gravity, but I believe that both these leading projects fail to take proper account of an essential issue. I have spent many years studying the foundations of general relativity, in which Einstein sought to find an alternative to the absolute space introduced by Newton to define the motion of bodies. Being invisible, this problematic concept was criticized by Mach (1883), who argued that the positions of bodies are determined relative to each other. Einstein attempted to implement this idea, now known as Mach's Principle, but did so indirectly and thus created confusion despite the great success of his theory. My collaborators and I have clarified the precise manner in which motion is relative in Einstein's theory and thereby identified its irreducible essential principle. The aim of the Machian Quantum Gravity Project is to use this insight to unify the principles of quantum theory and general relativity. It will be a third route to quantum gravity.

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