English

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

General Relativity and Quantum Cosmology 2022-07-08 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2207.02915,
  title  = {Curved momentum space equivalent to the linear and quadratic Generalized Uncertainty Principle},
  author = {Fabian Wagner},
  journal= {arXiv preprint arXiv:2207.02915},
  year   = {2022}
}

Comments

Presented at the Ninth Meeting on CPT and Lorentz Symmetry, Bloomington, Indiana, May 17-26, 2022