The Cardy-Verlinde formula in the presence of GUP and MDR

Dehghani, M.

doi:10.1007/s10509-016-2727-y

Cited by 2 publications

(2 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The results are compatible with that of ref. [56][57][58] As a mathematical result it seems that GUP and MDR approaches lead to the same corrections to the Friedmann equations, if the coefficients are fixed properly.…”

Section: Comparison Of the Resultsmentioning

confidence: 97%

Entropic corrections to Friedmann equations in the extra dimensional FRW universe

Dehghani¹

2018

PAIJ

View full text Add to dashboard Cite

In this work, the quantum gravitational effects on the dynamical equations of universe have been investigated by utilizing the generalized uncertainty principle (GUP) and modified dispersion relation (MDR). At first, the corrected entropy-area relation has been obtained by considering the impacts of GUP and MDR, separately. Next, making use of the corrected entropy relations, arisen from GUP and MDR approaches, the entropic corrected Friedmann equations have been obtained in the extra dimensional FRW universe. The corrections are worked out up to the sixth order of the Planck length. Finally, it has been shown that these two alternative approaches lead to the same corrections if the expansion coefficients satisfy some simple conditions.

show abstract

Section: Comparison Of the Resultsmentioning

confidence: 97%

Entropic corrections to Friedmann equations in the extra dimensional FRW universe

Dehghani¹

2018

PAIJ

View full text Add to dashboard Cite

show abstract

“…Furthermore, the tight-binding model (a) E-mail: mirfaizalmir@gmail.com (corresponding author) has been used to show that beyond the linear regime the energy-momentum dispersion relation gets modified [5,6]. Now such modified energy-momentum dispersion relations are known to be related to GUP [7,8]. Thus, it is expected that beyond the linear regime the condensed matter systems will be represented by GUP-deformed structures.…”

mentioning

confidence: 99%

Deformation of nanowires and nanotubes

Khan

Wani²,

Shaikh³

et al. 2023

EPL

View full text Add to dashboard Cite

In this article, we have investigated the consequences of the next to the leading order correction to the eﬀective ﬁeld theory of nanostructures. This has been done by analyzing the eﬀects of deformed Heisenberg algebra on nanowires and nanotubes. We ﬁrst deform the Schrodinger equation with cylindrical topology. Then speciﬁc solutions to the deformed Schrodinger equation with diﬀerent boundary conditions are studied. These deformed solutions are used to investigate the consequences of the deformation on the energy of nanowires and nanotubes. This deformation can be detected by connecting such nanostructures to ferromagnets, and testing the current-voltage relation for such junctions.

show abstract

The Cardy-Verlinde formula in the presence of GUP and MDR

Cited by 2 publications

References 51 publications

Entropic corrections to Friedmann equations in the extra dimensional FRW universe

Entropic corrections to Friedmann equations in the extra dimensional FRW universe

Deformation of nanowires and nanotubes

Contact Info

Product

Resources

About