Casimir effect associated with fractional laplacian and fractal dimensions

El-Nabulsi, Rami Ahmad; Anukool, Waranont

doi:10.1016/j.physe.2022.115552

Cited by 11 publications

(2 citation statements)

References 56 publications

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“…This correlation between the GUP and long-range effects may have interesting consequences in several fields, including higher-dimensional black holes, [52] cosmology, [53] dark energy [54,55] and quantum geometry [56,57] among others. [58][59][60][61][62][63][64] A variable family of nonnegative integrable kernels may be chosen which are not necessarily symmetric, which may give rise to various phenomenological quantum effects. Work in these directions is under construction.…”

Section: -2mentioning

confidence: 99%

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

El-Nabulsi

Anukool

2023

Chinese Phys. B

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We prove the existence of an analogy between spatial long range interactions which are of convolution-type introduced in non-relativistic quantum mechanics and the generalized uncertainty principle predicted from quantum gravity theories. As an illustration, black holes temperatures effects are discussed. It was observed that for specific choices of the moment's kernels, cold black holes may emerge in the theory.

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Section: -2mentioning

confidence: 99%

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

El-Nabulsi

Anukool

2023

Chinese Phys. B

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“…Zhang, Deng and Karniadakis [22] presented new computational methods for the tempered fractional Laplacian equation on the homogeneous and nonhomogeneous generalized Dirichlet type boundary conditions. Other new developments of the tempered fractional Laplace operator can be found in [23][24][25][26][27][28][29][30][31]. The conception and properties of fractional conformable Caputo and Riemann-Liouville derivatives were formulated by Jarad et al [32].…”

Section: Introductionmentioning

confidence: 99%

Maximum Principle for Variable-Order Fractional Conformable Differential Equation with a Generalized Tempered Fractional Laplace Operator

Guan,

Zhang

2023

Fractal Fract

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In this paper, we investigate properties of solutions to a space-time fractional variable-order conformable nonlinear differential equation with a generalized tempered fractional Laplace operatorby using the maximum principle. We first establish some new important fractional various-order conformable inequalities. With these inequalities, we prove a new maximum principle with space-time fractional variable-order conformable derivatives and a generalized tempered fractional Laplace operator. Moreover, we discuss some results about comparison principles and properties of solutions for a family of space-time fractional variable-order conformable nonlinear differential equations with a generalized tempered fractional Laplace operator by maximum principle.

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Fractional Elliptic Operators with Multiple Poles on Riemannian Manifold with Clifford Bundle

El-Nabulsi,

Anukool

2024

Adv. Appl. Clifford Algebras

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Casimir effect associated with fractional laplacian and fractal dimensions

Cited by 11 publications

References 56 publications

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

Maximum Principle for Variable-Order Fractional Conformable Differential Equation with a Generalized Tempered Fractional Laplace Operator

Fractional Elliptic Operators with Multiple Poles on Riemannian Manifold with Clifford Bundle

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