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Advances in High Energy Physics Phenomenological Aspects of Quantum Gravity and Modified Theories of Gravity Guest Editors: Ahmed Farag Ali, Giulia Gubitosi, Mir Faizal, and Barun Majumder Phenomenological Aspects of Quantum Gravity and Modified Theories of Gravity Advances in High Energy Physics Phenomenological Aspects of Quantum Gravity and Modified Theories of Gravity Guest Editors: Ahmed Farag Ali, Giulia Gubitosi, Mir Faizal, and Barun Majumder Copyright © 2017 Hindawi Publishing Corporation. All rights reserved. This is a special issue published in “Advances in High Energy Physics.” All articles are open access articles distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Editorial Board Luis A. Anchordoqui, USA Frank Filthaut, Netherlands Anastasios Petkou, Greece T. Asselmeyer-Maluga, Germany Chao-Qiang Geng, Taiwan Alexey A. Petrov, USA M. Battaglia, Switzerland Philippe Gras, France Thomas Rössler, Sweden Botio Betev, Switzerland Xiaochun He, USA J. José Sanz-Cillero, Spain Lorenzo Bianchini, Switzerland Filipe R. Joaquim, Portugal Edward Sarkisyan-Grinbaum, USA Burak Bilki, USA KyungK.Joo,RepublicofKorea Sally Seidel, USA Adrian Buzatu, UK Aurelio Juste, Spain George Siopsis, USA Rong-Gen Cai, China Michal Kreps, UK Luca Stanco, Italy Duncan L. Carlsmith, USA Ming Liu, USA Satyendra Thoudam, Netherlands Ashot Chilingarian, Armenia Enrico Lunghi, USA Smarajit Triambak, South Africa Anna Cimmino, Belgium Piero Nicolini, Germany Elias C. Vagenas, Kuwait Andrea Coccaro, Switzerland Seog H. Oh, USA Nikos Varelas, USA Shi-Hai Dong, Mexico Sergio Palomares-Ruiz, Spain YauW.Wah,USA Edmond C. Dukes, USA Giovanni Pauletta, Italy Amir H. Fatollahi, Iran Yvonne Peters, UK Contents Phenomenological Aspects of Quantum Gravity and Modified Theories of Gravity Ahmed Farag Ali, Giulia Gubitosi, Mir Faizal, and Barun Majumder Volume 2017, Article ID 1274326, 2 pages Investigation of Free Particle Propagator with Generalized Uncertainty Problem F. Ghobakhloo and H. Hassanabadi Volume 2016, Article ID 2045313, 4 pages Fermions Tunneling from Higher-Dimensional Reissner-Nordström Black Hole: Semiclassical and Beyond Semiclassical Approximation ShuZheng Yang, Dan Wen, and Kai Lin Volume 2016, Article ID 4647069, 6 pages Matter Localization on Brane-Worlds Generated by Deformed Defects Alex E. Bernardini and Roldão da Rocha Volume 2016, Article ID 3650632, 10 pages The Effects of Minimal Length, Maximal Momentum, and Minimal Momentum in Entropic Force Zhong-Wen Feng, Shu-Zheng Yang, Hui-Ling Li, and Xiao-Tao Zu Volume 2016, Article ID 2341879, 9 pages Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity Taeyoon Moon and Phillial Oh Volume 2016, Article ID 5353267, 7 pages On the UV Dimensions of Loop Quantum Gravity Michele Ronco Volume 2016, Article ID 9897051, 7 pages Charged Massive Particle’s Tunneling from Charged Nonrotating Microblack Hole M. J. Soleimani, N. Abbasvandi, Shahidan Radiman, and W. A. T. Wan Abdullah Volume 2016, Article ID 1632469, 8 pages Lorentz Invariance Violation and Modified Hawking Fermions Tunneling Radiation Shu-Zheng Yang, Kai Lin, Jin Li, and Qing-Quan Jiang Volume 2016, Article ID 7058764, 7 pages Thermodynamical Study of FRW Universe in Quasi-Topological Theory H. Moradpour and R. Dehghani Volume 2016, Article ID 7248520, 10 pages The Minimal Length and the Shannon Entropic Uncertainty Relation Pouria Pedram Volume 2016, Article ID 5101389, 8 pages An Attempt for an Emergent Scenario with Modified Chaplygin Gas Sourav Dutta, Sudeshna Mukerji, and Subenoy Chakraborty Volume 2016, Article ID 7404218, 5 pages Hindawi Publishing Corporation Advances in High Energy Physics Volume 2017, Article ID 1274326, 2 pages http://dx.doi.org/10.1155/2017/1274326 Editorial Phenomenological Aspects of Quantum Gravity and Modified Theories of Gravity Ahmed Farag Ali,1,2 Giulia Gubitosi,3 Mir Faizal,4 and Barun Majumder5 1 Benha University, Benha, Egypt 2Netherlands Institute for Advanced Study, Korte Spinhuissteeg 3, 1012 CG Amsterdam, Netherlands 3Imperial College London, London, UK 4British Columbia University, Vancouver, BC, Canada 5Indian Institute of Technology-Gandhinagar, Gujarat, India Correspondence should be addressed to Ahmed Farag Ali; [email protected] Received 12 December 2016; Accepted 20 December 2016; Published 15 February 2017 Copyright © 2017 Ahmed Farag Ali et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3. The phenomenological aspects of various approaches to horizon entropy in quasi-topological gravity. In the paper by quantum gravity and modified theories of gravity are getting S.-Z. Yang et al., the authors studied the Hawking radiation a lot of attention and cover many different topics such as in the context of Lorentz invariance violation which has been theories with minimal length, noncommutative geometry, predicted in different approaches to quantum gravity. In the theories with generalized uncertainty principle, violations paperbyM.J.Soleimanietal,theauthorsinvestigatetunnel- of Lorentz symmetries, and loop quantum cosmology. The ing of charged massive particles in charged TeV-scale black recent developments in these approaches with their phe- hole with the help of a generalized uncertainty relation that nomenological implications in particle physics, cosmology, has a minimal length and maximal momentum. In the paper and astrophysics are the main theme of this special issue. by M. Ronco, the author tackled Planck-scale dynamical In this special issue on quantum gravity phenomenology, we dimensional reduction in which he observed that the number have invited papers that address such issues. of UV dimensions can be used to constrain the ambiguities in In the paper by S. Dutta et al., the authors present a study the choice of these loop quantum gravity-based modifications on emergent universe scenario with modified Chaplygin gas of the Dirac space-time algebra. In the paper by T. Moon and and its implications with the initial big bang singularity. In the P. Oh, the authors studied spontaneous symmetry breaking paper by P. Pedram, the author uses the modified commuta- in 5D conformally invariant gravity and found that the tion relation, which has quadratic order in the momentum dimensional reduction via ADM decomposition gives rise to as deformation, to study the Beckner, Bialynicki-Birula, and the4DMinkowskivacuum.InthepaperbyZ.-W.Fenget Mycielski (BBM) inequality. With a particular choice of al., the authors studied the implications of minimal length self-adjoint representation, the author has shown that the theories on the entropic force realization of gravity and BBM inequality remains valid for various choices of the they derived, in this context, the modified Einstein field deformation parameter. In the paper by H. Moradpour equation and modified Friedman equations which may have and R. Dehghani, the authors tackled the unified first law various phenomenological implications. In the paper by A. E. of thermodynamics and its genuine connection with the Bernardini and R. Rocha, the authors have studied a family of apparent horizon of FRW universe in which they found that asymmetric thick brane configurations which are formed by whenever there is no energy exchange between the various defects. A left-right asymmetric chiral localization of spin 1/2 parts of cosmos, one could get an expression for the apparent particles is produced in the localization of fermion fields of 2 Advances in High Energy Physics the thick branes. In the paper by S.-Z. Yang et al., the authors investigated the origin of Hawking radiation in the context of fermions tunneling from higher-dimensional Reissner- Nordstromblackholeandcalculatedtheentropyoftheblack¨ hole. In the paper by F. Ghobakhloo and H. Hassanabadi, theauthorsinvestigatedthefreeparticlepropagatorinthe context of minimal length theories and discussed possible implications of this modified propagator. Ahmed Farag Ali Giulia Gubitosi Mir Faizal Barun Majumder Hindawi Publishing Corporation Advances in High Energy Physics Volume 2016, Article ID 2045313, 4 pages http://dx.doi.org/10.1155/2016/2045313 Research Article Investigation of Free Particle Propagator with Generalized Uncertainty Problem F. Ghobakhloo and H. Hassanabadi Physics Department, Shahrood University of Technology, P.O. Box 316, Shahrood 3619995161, Iran Correspondence should be addressed to F. Ghobakhloo; [email protected] Received 1 March 2016; Revised 11 April 2016; Accepted 24 April 2016 Academic Editor: Mir Faizal Copyright © 2016 F. Ghobakhloo and H. Hassanabadi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3. We consider the Schrodinger¨ equation with a generalized uncertainty principle for a free particle. We then transform the problem into a second-order ordinary differential equation and thereby obtain the corresponding propagator. The result of ordinary quantum mechanics is recovered for vanishing minimal length parameter. 1. Introduction Inourpaper,wearegoingtocombinethesetwosubjects.