Quantization of dynamical symplectic reduction

Abstract

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.

42 pages, no figures. Version 2 reflects changes introduced during peer-review process

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Cited by in corpus (9)

• The Trinity of Relational Quantum Dynamics
• Equivalence of approaches to relational quantum dynamics in relativistic settings
• Comment on "Towards a quantum notion of covariance in spherically symmetric loop quantum gravity"
• Relational evolution with oscillating clocks
• An algebraic approach to the "frozen formalism" problem of time
• On k-polycosymplectic Marsden-Weinstein reductions
• Algebraic properties of quantum reference frames: Does time fluctuate?
• Geometry and proper time of a relativistic quantum clock
• What can we do in a symmetry-constrained perspective? The importance of the total charge's status in quantum reference frame frameworks