arXiv subjects

Daniel Hooker

Publications and source records attributed to Daniel Hooker.

2 recordsLinked to original sources

arXiv2025

Symmetrized operators or modified integration measure in Generalized Uncertainty Principle Models

Many Generalized Uncertainty Principle (GUP) models modify the inner-product measure to ensure symmetric position or momentum operators. We show that an alternate approach to these GUPs is to symmetrize the operators rather than modifying the inner product. This preserves the standard momentum space allowing the eigenstates and maximally localized states of the modified position operator to have a standard position representation. We compare both approaches and highlight their merits.

quant-ph↗

arXiv2025

GUP, Lorentz Invariance (Non)-Violation, and Non-Commutative Geometry

In this work, we formulate a generalized uncertainty principle with both position and momentum operators modified from their canonical forms. We study whether Lorentz symmetry is violated and whether it can be saved with these modifications. The requirement that Lorentz invariance is not violated places restrictions on the way the position and momentum operators can be modified. We also investigate the connection between general uncertainty principle and non-commutative geometry models, e.g.,laying out the connection between area/area operators and angular momentum in both models.

gr-qc↗