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20092026
most citedGeneralised uncertainty relations from superpositions of geometries

60 citations · 587 across the 45 of their papers we have counts for

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29 papers · 1 filter

gr-qc2024★ 1 cited

The (1+3)-dimensional 'quantum principle of relativity' is Einstein's principle of relativity

Matthew J. Lake

We show that the -dimensional `superboost' operators, proposed in Dragan and Ekert's most recent work on superluminal reference frames \cite{Dragan:2022txt}, are simply the…

gr-qc2024

Towards a group structure for superluminal velocity boosts

Matthew J. Lake

Canonical subluminal Lorentz boosts have a clear geometric interpretation. They can be neatly expressed as hyperbolic rotations, that leave both the family of -sheet hyperboloid…

gr-qc2023

Quantum reference frames, revisited

Matthew J. Lake, Marek Miller

The topic of quantum reference frames (QRFs) has attracted a great deal of attention in the recent literature. Potentially, the correct description of such frames is important for…

gr-qc2023★ 1 cited

Dimensionally-dependent uncertainty relations, or why we (probably) won't see micro-black holes at the LHC, even if large extra dimensions exist

Matthew J. Lake, Shi-Dong Liang, Anucha Watcharapasorn

We present a simple gedanken experiment in which a compact object traverses a spacetime with three macroscopic spatial dimensions and compact dimensions. The compactification r…

gr-qc2023★ 2 cited

Problems with Modified Commutators

Matthew J. Lake, A. Watcharapasorn

The purpose of this paper is to challenge the existing paradigm on which contemporary models of generalised uncertainty relations (GURs) are based, that is, the assumption of modif…

gr-qc2023★ 6 cited

Generalised Uncertainty Relations from Finite-Accuracy Measurements

Matthew J. Lake, Marek Miller, Ray Ganardi +1

In this short note we show how the Generalised Uncertainty Principle (GUP) and the Extended Uncertainty Principle (EUP), two of the most common generalised uncertainty relations pr…