Probing Poincaré Violation

Gupta, Rick S.; Jaeckel, Joerg; Spannowsky, Michael

doi:10.48550/arxiv.2211.04490

Cited by 1 publication

(1 citation statement)

References 106 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This violates Galilean invariance, even for classical macroscopic systems, and, hence, Poincaré invariance in the relativistic limit. To date, no evidence for the breaking of Poincaré invariance, including shift invariance, has been found, although bounds on the symmetry breaking parameters have been determined from a wide range of experiments (Gupta et al, 2022).…”

Section: Violation Of Lorentz Invariancementioning

confidence: 99%

Problems with modified commutators

Lake

Watcharapasorn²

2023

Front. Astron. Space Sci.

View full text Add to dashboard Cite

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 modified commutation relations. We review an array of theoretical problems that arise in modified commutator models, including those that have been discussed in depth and others that have received comparatively little attention, or have not been considered at all in the existing literature, with the aim of stimulating discussion on these topics. We then show how an apparently simple assumption can solve, or, more precisely, evade these issues, by generating GURs without modifying the basic form of the canonical Heisenberg algebra. This simplicity is deceptive, however, as the necessary assumption is found to have huge implications for the quantisation of space-time and, therefore, gravity. These include the view that quantum space-time should be considered as a quantum reference frame and, crucially, that the action scale characterising the quantum effects of gravity, β, must be many orders of magnitude smaller than Planck’s constant, β ∼ 10–61 × ℏ, in order to recover the present day dark energy density. We argue that these proposals should be taken seriously, as a potential solution to the pathologies that plague minimum length models based on modified commutators, and that their implications should be explored as thoroughly as those of the existing paradigm, which has dominated research in this area for almost three decades.

show abstract

Section: Violation Of Lorentz Invariancementioning

confidence: 99%