Curved momentum space equivalent to the linear and quadratic Generalized Uncertainty Principle

2022/07/05 by Fabian Wagner, Wagner, Fabian
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.2207.02915

Abstract

In this work, we deepen the correspondence between Generalized Uncertainty Principles (GUPs) and quantum dynamics on curved momentum space. In particular, we investigate the linear and quadratic GUP. Similarly to earlier work, the resulting curvature tensor in the dual theory is proportional to the coordinate non-commutativity of the original formulation.

Related

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• Extended Uncertainty Principle via Dirac Quantization