I review basic principles of the quantum mechanical measurement process in view of their implications for a quantum theory of general relativity. It turns out that a clock as an external classical device associated with the observer plays an essential role. This leads me to postulate a 'principle of the integrity of the observer'. It essentially requires the observer to be part of a classical domain connected throughout the measurement process. Mathematically this naturally leads to a formulation of quantum mechanics as a kind of topological quantum field theory. Significantly, quantities with a direct interpretation in terms of a measurement process are associated only with amplitudes for connected boundaries of compact regions of spacetime. I discuss some implications of my proposal such as in out duality for states, delocalization of the 'collapse of the wavefunction' and locality of the description. Differences to existing approaches to quantum gravity are also highlighted.
Classical and Quantum Gravity
- Pub Date:
- December 2003
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory;
- Quantum Physics
- 12 pages, 3 figures, LaTeX + AMS + eps