A new spin on the hole argument

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.
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DOI 10.1016/j.shpsb.2004.10.003
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References found in this work BETA
John Earman & John Norton (1987). What Price Spacetime Substantivalism? The Hole Story. British Journal for the Philosophy of Science 38 (4):515-525.
Jeremy Butterfield (1989). The Hole Truth. British Journal for the Philosophy of Science 40 (1):1-28.
Gordon Belot & John Earman (2001). Pre-Socratic Quantum Gravity. In Craig Callender & Nick Huggett (eds.), Physics Meets Philosophy at the Planck Scale. Cambridge University Press 213--55.
Tim Maudlin (1988). The Essence of Space-Time. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:82 - 91.

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Citations of this work BETA
Oliver Pooley (2006). A Hole Revolution, or Are We Back Where We Started? Studies in History and Philosophy of Science Part B 37 (2):372-380.
Edward Slowik (2013). The Deep Metaphysics of Quantum Gravity: The Seventeenth Century Legacy and an Alternative Ontology Beyond Substantivalism and Relationism. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):490-499.
Dean Rickles (2005). Interpreting Quantum Gravity. Studies in History and Philosophy of Science Part B 36 (4):691-715.
Dean Rickles (2006). Bringing the Hole Argument Back in the Loop: A Response to Pooley. Studies in History and Philosophy of Science Part B 37 (2):381-387.

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