A New Spin on the Hole Argument

Rickles, Dean (2004) A New Spin on the Hole Argument.

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Abstract

This brief paper shows how an exact analogue of Einstein's original hole argument can be constructed in the loop representation of quantum gravity. The new argument is based on the embedding of spin-networks in a manifold and the action of the diffeomorphism constraint on them. The implications of this result are then discussed. I argue that the conclusions of many physicists working on loop quantum gravity---Rovelli and Smolin in particular---that the loop representation uniquely supports relationalism are unfounded.

Keywords:Hole argument, quantum gravity, spacetime, general relativity
Subjects:Specific Sciences: Physics: Cosmology
Specific Sciences: Physics: Relativity Theory
Specific Sciences: Physics: Fields and Particles
Specific Sciences: Physics
Specific Sciences: Physics: Quantum Mechanics
Specific Sciences: Physics: Quantum Field Theory
ID Code:1859
Deposited By:Rickles, Dean
Deposited On:29 July 2004

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