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The Structural Foundations of Quantum Gravity$
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Dean Rickles, Steven French, and Juha T. Saatsi

Print publication date: 2006

Print ISBN-13: 9780199269693

Published to Oxford Scholarship Online: October 2011

DOI: 10.1093/acprof:oso/9780199269693.001.0001

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Time and Structure in Canonical Gravity

Time and Structure in Canonical Gravity

(p.152) 6 Time and Structure in Canonical Gravity
The Structural Foundations of Quantum Gravity

Dean Rickles

Oxford University Press

The interpretative problems of gauge theory take on what is arguably their most pathological form in the context of the problem of space (better known as the ‘hole argument’) and the problem of time. The latter problem is essentially just a recapitulation of the former, although focused upon the Hamiltonian rather than the diffeomorphism constraint. Therefore, one should respond to the problems in the same way via a non-reductive gauge-invariant conception of observables coupled with a kind of structuralism. This chapter (1) explains the problem of time in a way that is accessible to philosophers; (2) provides a critique of the usual responses; (3) disentangles the debate between substantivalists and relationalists from the problem of time; and (4) defends a structuralist resolution of the problem of time.

Keywords:   gauge theory, structuralism, space, time, substantivalism, relationism

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