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Background Independent Quantum Mechanics and Gravity
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We argue that the demand of background independence in a quantum theory of gravity calls for an extension of standard geometric quantum mechanics. We discuss a possible kinematical and dynamical generalization of the latter by way of a quantum covariance of the state space. Specifically, we apply our scheme to the problem of a background independent formulation of Matrix Theory.
Forward citations
Cited by 2 Pith papers
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Information Metrics and Possible Limitations of Local Information Objectivity in Quantum Gravity
Quantum gravity may permit contextual deviations from the Fisher metric, inducing observer-dependent modifications to the Born rule.
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Physical limits on information metrics and quantum gravity as gravitized quantum theory
The authors argue that quantum gravity and general covariance force the information geometry of quantum theory to become dynamical, requiring a modified Born rule testable via triple-slit matter-wave interference.
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