Testing short distance anisotropy in space

Mann, Robert B.; Husin, I.; Patel, Hrishikesh; Faizal, Mir; Sulaksono, A.; Suroso, Agus

doi:10.1038/s41598-021-86355-3

Cited by 6 publications

(5 citation statements)

References 103 publications

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“…Thus, the differential torsion pendulum described in this paper can be constructed relatively easily and used to either verify the existence of short-distance anisotropy, or at least set a strong bound on the scale at which such anisotropies can occur. It would also be interesting to use the insights presented in this work to develop experiments to search for anisotropies in other theories, such as those that may arise from short-range corrections to quantum mechanics [9].…”

Section: Discussionmentioning

confidence: 99%

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Novel setup for detecting short-range anisotropic corrections to gravity

Bobowski,

Patel,

Faizal

2024

Phys. Scr.

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In this paper we argue that, even though there are strong theoretical and empirical reasons to expect a violation of spatial isotropy at short distances, contemporary setups for probing gravitational interactions at short distances have not been configured to measure such spatial anisotropies. We propose a simple modification to the state-of-the-art torsion pendulum design and numerically demonstrate that it suppresses signals due to the large spatially-isotropic component of the gravitational force while maintaining a high sensitivity to short-range spatial anisotropies. We incorporate anisotropy using both Yukawa-type and power-law-type short-distance corrections to gravity. The proposed differential torsion pendulum is shown to be capable of making sensitive measurements of small gravitational anisotropies and the resulting anisotropic torques are largely independent of the details of the underlying short-distance modification to gravity. Thus, if there is an anisotropic modification to gravity, from any theory, in any form of the modified potential, the proposed setup provides a practical means of detecting it.

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Section: Discussionmentioning

confidence: 99%

“…It is known that modifications to quantum mechanics, in the form of a deformation of the Heisenberg algebra, arise from such theories of quantum gravity [7,8]. Such modifications have recently been proposed to break isotropy at a detectable scale [9].…”

Section: Introductionmentioning

confidence: 99%

Novel setup for detecting short-range anisotropic corrections to gravity

Bobowski,

Patel,

Faizal

2024

Phys. Scr.

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“…This could be done by certain asymmetric expansion of the generalized momentum in terms of the standard low energy momentum. This will naturally furnish us a non-isotropic GUP reflecting the non-isotropy of space itself [52]. It will be useful to use this formalism for the study of Klein tunnelling in graphene with a trigonal warping term.…”

Section: Discussionmentioning

confidence: 99%

Effects of discrete topology on quantum transport across a graphene $n-p-n$ junction: A quantum gravity analogue

Shah,

Contreras-Astorga,

Fillion-Gourdeau

et al. 2021

Preprint

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In this article, we investigate the effect of next-to-the-nearest atom hopping on Klein tunnelling in graphene. An effective quantum dynamics equation is obtained based on an emergent generalized Dirac structure by analyzing the tight-binding model beyond the linear regime. We show that this structure has some interesting theoretical properties. First, it can be used to simplify quantum transport calculations used to characterize Klein tunnelling; second, it is not Chirally symmetric as hinted by previous work. Finally, it is reminiscent of theories on a space with a discrete topology. Exploiting these properties, we show that the discrete topology of the crystal lattice has an effect on the Klein tunnelling, which can be experimentally probed by measuring the transmittance through n − p − n junctions. We argue that this simulates quantum gravitational analogues using graphene and we propose an experiment to perform such measurements.

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“…For instance, it was investigated in ref. [56] that due to the discrete structure of the spacetime, the first-order quantum corrections may lead to space anisotropy. Such spatial anisotropies will have measurable consequences at short distances if the corrections are between the electroweak and the Planck scale.…”

Section: Jhep12(2022)009mentioning

confidence: 99%

Gauss-Bonnet black holes in a special anisotropic scaling spacetime

Mahmoudi

Jafarzade

Hendi

2022

J. High Energ. Phys.

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Inspired by the Lifshitz gravity as a theory with anisotropic scaling behavior, we suggest a new (n + 1)-dimensional metric in which the time and spatial coordinates scale anisotropically as (t, r, θi) → (λzt, λ−1r, λxiθi). Due to the anisotropic scaling dimension of the spatial coordinates, this spacetime does not support the full Schrödinger symmetry group. We look for the analytical solution of Gauss-Bonnet gravity in the context of the mentioned geometry. We show that Gauss-Bonnet gravity admits an analytical solution provided that the constants of the theory are properly adjusted. We obtain an exact vacuum solution, independent of the value of the dynamical exponent z, which is a black hole solution for the pseudo-hyperbolic horizon structure and a naked singularity for the pseudo-spherical boundary. We also obtain another exact solution of Gauss-Bonnet gravity under certain conditions. After investigating some geometrical properties of the obtained solutions, we consider the thermodynamic properties of these topological black holes and study the stability of the obtained solutions for each geometrical structure.

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Testing short distance anisotropy in space

Cited by 6 publications

References 103 publications

Novel setup for detecting short-range anisotropic corrections to gravity

Novel setup for detecting short-range anisotropic corrections to gravity

Effects of discrete topology on quantum transport across a graphene $n-p-n$ junction: A quantum gravity analogue

Gauss-Bonnet black holes in a special anisotropic scaling spacetime

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