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Formalism Locality in Quantum Theory and Quantum Gravity · Around

2008

Formalism Locality in Quantum Theory and Quantum Gravity

Hardy, Lucien

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We expect a theory of Quantum Gravity to be both probabilistic and have indefinite causal structure.

Indefinite causal structure poses particular problems for theory formulation since many of the core ideas used in the usual approaches to theory construction depend on having definite causal structure.
For example, the notion of a state across space evolving in time requires that we have some definite causal structure so we can define a state on a space-like hypersurface.
We will see that many of these problems are mitigated if we are able to formulate the theory in a "formalism local" (or F-local) fashion.

Built on

R. Penrose, On gravity’s role in quantum state reduction
1996
Earlier work this paper cites.
J. Polchinski, String theory, vols
1998
Earlier work this paper cites.
F. Markopoulou, Quantum causal histories
1999
Earlier work this paper cites.
R. D. Sorkin Causal sets: Discrete gravity
2005
Earlier work this paper cites.

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J. B. Hartle, Generalizing Quantum Mechanics for Quantum Gravity, gr-qc/0510126 (2005)
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Then

M. Leifer Quantum Causal Networks
2006
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L. Hardy, Towards Quantum Gravity: A Framework for Probabilistic Theories with Non-Fixed Causal Structure
2007
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Y. Aharanov, S. Popescu, J. Tollaksen, L. Vaidman, Multiple-time states and multiple-time measurements in quantum mechanics
Original
2007
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A. Doering and C. Isham, What is a thing?: Topos theory in the foundations of physics
Original
2008
Closest in time.

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