2019
DOI: 10.1088/1361-6382/ab2c0a
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Tests of quantum gravity-induced non-locality: Hamiltonian formulation of a non-local harmonic oscillator

Abstract: Motivated by the development of on-going optomechanical experiments aimed at constraining non-local effects inspired by some quantum gravity scenarios, the Hamiltonian formulation of a non-local harmonic oscillator, and its coupling to a cavity field mode(s), is investigated. In particular, we consider the previously studied model of non-local oscillators obtained as the non-relativistic limit of a class of non-local Klein-Gordon operators, f ( ), with f an analytical function. The results of previous works, i… Show more

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Cited by 11 publications
(9 citation statements)
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“…The scalar-field d'Alembertian [271] features a non-locality scale several orders of magnitude larger than the Planck length (typically assumed to be the discreteness scale). This type of non-locality, if it remains relevant in the full QFT and for fermionic fields, could be tested experimentally [276][277][278].…”
Section: Causal Fermion Systems and Causal Setsmentioning
confidence: 99%
“…The scalar-field d'Alembertian [271] features a non-locality scale several orders of magnitude larger than the Planck length (typically assumed to be the discreteness scale). This type of non-locality, if it remains relevant in the full QFT and for fermionic fields, could be tested experimentally [276][277][278].…”
Section: Causal Fermion Systems and Causal Setsmentioning
confidence: 99%
“…Sutherland has generalized Bohmian mechanics, which leads to a notion of post-quantum mechanics and introduces new nonlocal dynamics [ 85 , 86 ]. The evidence for non-locality is sufficient enough to presume spacetime, whether fundamental or not, is non-local [ 87 , 88 , 89 , 90 ].…”
Section: The Self-simulation Hypothesismentioning
confidence: 99%
“…For the numerical values of E L /a L employed we refer the interested reader to Supplementary Fig. beyond the standard model, when it comes to testing candidates of Dark Matter 5-10 and possible effects in particle interactions related to Dark Energy [11][12][13] ; the low-energy regime of the interplay between quantum mechanics and gravity 46,[104][105][106][107] ; precision tests of gravity 14,15,83,94,[108][109][110][111] ; the test of the equivalence principle and of general relativity's predictions, such as gravitational waves, in a parameter range complementary to existing experiments such as LIGO, VIRGO, GEO600, and the planned LISA space antenna 112,113 , and frame-dragging effects 114 . Furthermore, large-mass experiments in space will unavoidably provide a formidable platform for applications in Earth and planet observation 115,116 , where large-mass mechanical systems have already shown a superb capability as force and acceleration sensors 78,[117][118][119][120][121][122][123][124][125] , including in rotational mechanical modes 55,126 .…”
Section: Discussionmentioning
confidence: 99%