On Generalized Uncertainty Principle: Quantum Gravity, Black Holes, String Theory & Short Distances, Fourier Transformation & Distributions, Discretization - Couverture souple

Tiwari, Bhupendra Nath

 
9783846515327: On Generalized Uncertainty Principle: Quantum Gravity, Black Holes, String Theory & Short Distances, Fourier Transformation & Distributions, Discretization
Couverture souple
ISBN 10 : 3846515329 ISBN 13 : 9783846515327
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

The present research explores the role of generalized uncertainty inequalities in the theory of quantum gravity. Motivated from the noncommutative nature of string theory, we show that there exists an ultraviolet/ infrared mixing dependent function. From the perspective of higher derivative stringy corrections, the uncertainty principle arises as the analyticity condition of a complex function. For a given ultraviolet cutoff, this observation non-trivially modifies the algebra of quantum observables. With the postulate that Planck length is the minimal length scale in nature, our analysis is in accordance with T-duality symmetry and the existence of both the maximum and minimum length scales. Given a finite size universe, we find that the uncertainty inequalities do exist in any quantum theory. Both the Regge behavior of string spectrum and the black hole horizon area quantization are natural consequences. The role of the generalized uncertainty principle is discussed towards the effects of quantum gravity, short distance geometries, Fourier transformation, distribution theory, discretization of spacetime and thus the perspective for the geometric origin of M-theory.

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Présentation de l'éditeur

The present research explores the role of generalized uncertainty inequalities in the theory of quantum gravity. Motivated from the noncommutative nature of string theory, we show that there exists an ultraviolet/ infrared mixing dependent function. From the perspective of higher derivative stringy corrections, the uncertainty principle arises as the analyticity condition of a complex function. For a given ultraviolet cutoff, this observation non-trivially modifies the algebra of quantum observables. With the postulate that Planck length is the minimal length scale in nature, our analysis is in accordance with T-duality symmetry and the existence of both the maximum and minimum length scales. Given a finite size universe, we find that the uncertainty inequalities do exist in any quantum theory. Both the Regge behavior of string spectrum and the black hole horizon area quantization are natural consequences. The role of the generalized uncertainty principle is discussed towards the effects of quantum gravity, short distance geometries, Fourier transformation, distribution theory, discretization of spacetime and thus the perspective for the geometric origin of M-theory.

Biographie de l'auteur

Dr. Bhupendra Nath Tiwari is postdoctoral research fellow at INFN Laboratori Nazionali di Frascati, Rome, Italy. He has carried out his doctoral research at Indian Institute Technology Kanpur, India and master studies at Jawaharlal Nehru University, New Delhi, India. His chief research interests lie in theoretical and mathematical physics.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3846515329
ISBN 13 
9783846515327
Reliure
Broché
Nombre de pages
68
Coordonnées du fabricant
non disponible
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