Quantum gravity may permit contextual deviations from the Fisher metric, inducing observer-dependent modifications to the Born rule.
Background Independent Quantum Mechanics and Gravity
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abstract
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.
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Quantum spacetime with a non-commutative dual explains the fixed Born rule of quantum theory and leads to gravitized quantum mechanics featuring dynamical probabilities and higher-order interference.
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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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Quantum Spacetime, Quantum Gravity and Gravitized Quantum Theory
Quantum spacetime with a non-commutative dual explains the fixed Born rule of quantum theory and leads to gravitized quantum mechanics featuring dynamical probabilities and higher-order interference.