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Abstract: In the context of constrained quantum mechanics, reference systems are usedto construct relational observables that are invariant under the action of thesymmetry group. Upon measurement of a relational observable, the referencesystem undergoes an unavoidable measurement -back-action- that modifies itsproperties. In a quantum-gravitational setting, it has been argued that such aback-action may produce effects that are described at an effective level as aform of deformed or doubly special relativity. We examine this possibilityusing a simple constrained system that has been extensively studied in thecontext of quantum information. While our conclusions support the idea of asymmetry deformation, they also reveal a host of other effects that may berelevant to the context of quantum gravity, and could potentially conceal thesymmetry deformation.



Author: Florian Girelli, David Poulin

Source: https://arxiv.org/



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