Brane World Corrections to Newton’s Law

Бронников, К. А.; Kononogov, S. A.; Melnikov, V. N.

doi:10.1007/s10714-006-0300-7

Cited by 53 publications

(60 citation statements)

References 85 publications

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“…This topic has been subject to an extensive investigation [18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,…”

Section: Resultsmentioning

confidence: 99%

Production of black holes and their angular momentum distribution in models with split fermions

2006

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In models with TeV-scale gravity it is expected that mini black holes will be produced in nearfuture accelerators. On the other hand, TeV-scale gravity is plagued with many problems like fast proton decay, unacceptably large n −n oscillations, flavor changing neutral currents, large mixing between leptons, etc.. Most of these problems can be solved if different fermions are localized at different points in the extra dimensions. We study the cross-section for the production of black holes and their angular momentum distribution in these models with "split" fermions. We find that, for a fixed value of the fundamental mass scale, the total production cross section is reduced compared with models where all the fermions are localized at the same point in the extra dimensions. Fermion splitting also implies that the bulk component of the black hole angular momentum must be taken into account in studies of the black hole decay via Hawking radiation.

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Section: Resultsmentioning

confidence: 99%

Production of black holes and their angular momentum distribution in models with split fermions

2006

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“…For instance, to observe the transition from inverse-square law of Newtonian gravitation imposed via extra dimensions in brane world models, some measurements such as submillimeter measurement of gravity are proposed and can be used to test our model [71,[88][89][90][91].…”

Section: Jhep01(2018)017mentioning

confidence: 99%

Lagrange multiplier and Wess-Zumino variable as extra dimensions in the torus universe

Nejad

Dehghani

Monemzadeh

2018

J. High Energ. Phys.

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Abstract:We study the effect of the simplest geometry which is imposed via the topology of the universe by gauging non-relativistic particle model on torus and 3-torus with the help of symplectic formalism of constrained systems. Also, we obtain generators of gauge transformations for gauged models. Extracting corresponding Poisson structure of existed constraints, we show the effect of the shape of the universe on canonical structure of phase-spaces of models and suggest some phenomenology to prove the topology of the universe and probable non-commutative structure of the space. In addition, we show that the number of extra dimensions in the phase-spaces of gauged embedded models are exactly two. Moreover, in classical form, we talk over modification of Newton's second law in order to study the origin of the terms appeared in the gauged theory.

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“…The four dimensional metric is induced on the hyper-surface y = 0. In the weak field approximation, this model gives a power law deformation of the usual Newtonian potential [3]. Unlike many other brane world models, the Randall-Sundrum model allows for the existence of infinite extra dimensions.…”

Section: Introductionmentioning

confidence: 99%

Clustering of galaxies in brane world models

2016

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In this paper, we analyze the clustering of galaxies using a modified Newtonian potential. This modification of the Newtonian potential occurs due to the existence of extra dimensions in brane world models. We will analyze a system of galaxies interacting with each other through this modified Newtonian potential. The partition function for this system of galaxies will be calculated, and this partition function will be used to calculate the free energy of this system of galaxies. The entropy and the chemical potential for this system will also be calculated. We will derive explicit expression for the clustering parameter for this system. This parameter will determine the behavior of this system, and we will be able to express various thermodynamic quantities using this clustering parameter. Thus, we will be able to explicitly analyze the effect that modifying the Newtonian potential can have on the clustering of galaxies. We also analyze the effect of extra dimensions on the two-point functions between galaxies.

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Brane World Corrections to Newton’s Law

Cited by 53 publications

References 85 publications

Production of black holes and their angular momentum distribution in models with split fermions

Production of black holes and their angular momentum distribution in models with split fermions

Lagrange multiplier and Wess-Zumino variable as extra dimensions in the torus universe

Clustering of galaxies in brane world models

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