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Quantization of dynamical symplectic reduction
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A long-standing problem in quantum gravity and cosmology is the quantization of systems in which time evolution is generated by a constraint that must vanish on solutions. Here, an algebraic formulation of this problem is presented, together with new structures and results, which show that specific conditions need to be satisfied in order for well-defined evolution to be possible.
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Cited by 3 Pith papers
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Frame-Dependent Traces and the Third-Particle Paradox
The Third-Particle Paradox is not a contradiction: the authors characterize exactly which states allow consistent subsystem discarding in the perspective-neutral and quantum-information approaches.
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On the relation between perspective-neutral, algebraic, and effective quantum reference frames
For ideal quantum reference frames with a single constraint, the perspective-neutral, algebraic, and effective semiclassical approaches describe the same physics and the same frame-switching rules.
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What can we do in a symmetry-constrained perspective? The importance of the total charge's status in quantum reference frame frameworks
A two-observer Z2 toy model is used to argue that internal observers can access the total charge, favoring weak over strong symmetry in quantum reference frame frameworks.
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