Article
Physics, Nuclear
Ningchen Bai, Aoyun He, Jun Tao
Summary: This work investigates the microstructure of charged AdS black holes under minimal length effects. It studies the thermodynamics of black holes and phase transitions based on the generalized uncertainty principle (GUP), and reveals the impact of GUP on the thermodynamic properties and interactions of black holes.
Article
Physics, Multidisciplinary
He Su, Chao-Yun Long
Summary: In this paper, the thermodynamic properties of the Schwarzschild and Reissner-Nordstrom black holes are investigated using the extended generalized uncertainty principle with linear terms (LEGUP). The minimal temperature, modified mass-temperature function, and heat capacity function of the Schwarzschild black hole are calculated. The thermodynamics of LEGUP black holes are compared with EGUP black holes and other forms, and the modification of black hole entropy is discussed.
COMMUNICATIONS IN THEORETICAL PHYSICS
(2022)
Article
Astronomy & Astrophysics
Luciano Petruzziello
Summary: A novel generalization of the Heisenberg uncertainty principle is presented, introducing the concept of a maximal observable momentum without requiring a minimal uncertainty in position. This exact generalized uncertainty principle (GUP) is valid at all energy scales and has implications for quantum mechanical applications and black hole thermodynamics. Preliminary analysis shows consistency with existing expressions for GUP borrowed from string theory and other quantum gravity candidates.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Physics, Multidisciplinary
Shanping Wu, Chengzhou Liu
Summary: This article points out calculation errors in previous papers on the Kerr-Newman black hole thermodynamics, corrects them, and reveals the existence of radiation remnants.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2023)
Article
Astronomy & Astrophysics
Pasquale Bosso, Luciano Petruzziello, Fabian Wagner
Summary: This paper clarifies a foundational issue in the phenomenological approach to quantum gravity regarding the generalization of Heisenberg's uncertainty principle. The confusion between perturbative and non-perturbative methods in recent works has resulted in a blurred distinction between changes in the deformed algebra and changes in the representation of operators. This reasoning implies that the existence of a minimal length is representation-dependent and therefore unphysical.
Article
Physics, Nuclear
Seyed Amin Khorram-Hosseini, Saber Zarrinkamar, Hossein Panahi
Summary: This paper investigates the Schrodinger equation with a generalized form of uncertainty principle, providing a solution with a third-order correction. The cases of particle in a box and harmonic oscillator are examined, and various thermodynamic properties such as entropy, internal energy, chemical potential, and specific heat are reported. The consequences of the generalized uncertainty principle are also discussed.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2023)
Article
Astronomy & Astrophysics
Li-Hua Wang, Meng-Sen Ma
Summary: This paper re-derives the black hole entropy of static spherically symmetric black holes based on the concept of fractal black hole horizon. The temperatures and heat capacities of Schwarzschild, Reissner-Nordstrom, and RN-AdS black holes are calculated, showing that these black holes are thermodynamically stable. The heat capacity of RN-AdS black hole exhibits Schottky anomaly-like behavior, indicating the existence of discrete energy levels and restricted microscopic degrees of freedom.
Article
Astronomy & Astrophysics
Nana Cabo Bizet, Octavio Obregon, Wilfredo Yupanqui
Summary: The Heisenberg uncertainty principle is connected to the entropic uncertainty principle, and this correspondence is obtained using a Gaussian probability distribution for wave functions associated with the Shannon entropy. Additionally, the Heisenberg uncertainty principle has been extended to a Generalized Uncertainty Principle (GUP) due to quantum gravity effects. In this study, it is shown that GUP has been derived from considering non-extensive entropies proposed by one of the authors. The findings suggest that non-extensive statistics is a signature of quantum gravity.
Article
Astronomy & Astrophysics
Raghvendra Singh, Dawood Kothawala
Summary: We present a formulation of the generalized uncertainty principle based on a commutator between position and momentum operators defined in a covariant manner using normal coordinates. We show that any such commutator can acquire corrections if the momentum space is curved, resulting in noncommutativity of normal position coordinates. We also provide a construction for the momentum space geometry as a suitable extension of a geometry conformal to the three dimensional relativistic velocity space.
Article
Multidisciplinary Sciences
Hooman Moradpour, Sarah Aghababaei, Amir Hadi Ziaie
Summary: The implications of GUP and EUP on a system following the Juttner distribution are investigated in this study, with a focus on deriving the distribution function from the partition function and its relation to thermal energy to ultimately determine the corresponding energy density states.
Article
Astronomy & Astrophysics
Ana Alonso-Serrano, Mariusz P. Dabrowski, Hussain Gohar
Summary: In this study, we examine the impact of the generalized uncertainty principle (GUP) on nonextensive black hole thermodynamics using Renyi entropy. Our findings indicate that both Renyi entropy and temperature related to black holes have finite values at the end of the evaporation process when GUP effects are introduced. Furthermore, we explore the sparsity of radiation associated with Renyi temperature and compare it with Hawking radiation's sparsity, as well as investigate GUP modifications to the sparsity of radiation when applied to Renyi temperature.
Article
Astronomy & Astrophysics
Sukanta Bhattacharyya, Sunandan Gangopadhyay
Summary: This paper investigates the impact of the generalized uncertainty principle on the motion of particles in gravitational quantum phenomena, studying their behavior under the most general form of GUP using the path integral representation. By analyzing the upper limit of velocity and the relationship between GUP parameters, the mathematical expressions for classical action and quantum fluctuations of free particles and harmonic oscillator systems are derived.
Article
Astronomy & Astrophysics
Mohamed Moussa, Homa Shababi, Ahmed Farag Ali
Summary: This paper examines the impact of the generalized uncertainty principle (GUP) on the stochastic gravitational wave (SGW) background signal in the early universe. By modifying the formula for entropy and using pressure parameterizations based on recent lattice calculations, the temporal evolution of temperature and equation of state around the QCD epoch are studied. The results show that the GUP effect leads to an increase in the frequency peak of SGW and weakens the SGW signal generated during the QCD phase transition.
Article
Physics, Multidisciplinary
Jun-Li Li, Cong-Feng Qiao
Summary: The uncertainty principle in quantum physics is not only limited to the traditional uncertainty relation, but also includes a more generalized uncertainty relation. Research has shown that higher order nonlinear dependence may reveal more different and interesting correlation properties, which have important applications in quantum information science.
ANNALEN DER PHYSIK
(2021)
Article
Physics, Multidisciplinary
Prathamesh Yeole, Vipul Kumar, Kaushik Bhattacharya
Summary: This paper generalizes the concept of the Wigner function in quantum mechanics with a minimum length scale introduced by applying a generalized uncertainty principle. It presents the phase space formulation and properties of such theories, demonstrating that the Weyl transform and the Wigner function maintain most of their known properties in standard quantum mechanics. The generalized Wigner function is utilized to calculate the phase space average of the Hamiltonian of a quantum harmonic oscillator satisfying a deformed Heisenberg algebra, and it is shown that certain quantum mechanical operator averages may constrain the value of the deformation parameter in these theories.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Article
Physics, Multidisciplinary
Mohamed Moussa
Summary: In this paper, a linear generalized uncertainty principle (GUP) was used to analyze the COW experiment and Einstein-Bohr's a photon box experiment. A modified Schwarzschild metric was obtained to calculate quantum corrections in Schwarzschild black hole thermodynamics and tunneling probability. The study found that GUP places restrictions on the minimum mass, size, and temperature of black holes, indicating the presence of a black hole remnant after evaporation.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2021)
Article
Astronomy & Astrophysics
Mohamed Moussa
Summary: The unparticle-inspired model of gravity proposed by Georgi introduces a new force called ungravity, which perturbs the Newtonian law of gravity at low energy. The study uses the minimum mass of hydrogen burning to constrain the parameters of the unparticle-inspired model on specific scales.
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
(2021)
Article
Astronomy & Astrophysics
Mohamed Moussa, Homa Shababi, Ahmed Farag Ali
Summary: This paper examines the impact of the generalized uncertainty principle (GUP) on the stochastic gravitational wave (SGW) background signal in the early universe. By modifying the formula for entropy and using pressure parameterizations based on recent lattice calculations, the temporal evolution of temperature and equation of state around the QCD epoch are studied. The results show that the GUP effect leads to an increase in the frequency peak of SGW and weakens the SGW signal generated during the QCD phase transition.
Article
Physics, Particles & Fields
Ahmed Farag Ali, Barun Majumder
Summary: Various approaches to Quantum Gravity suggest the existence of a minimal measurable length, with potential modifications to uncertainty principle, dispersion relation, non-commutative geometry, or Lorentz symmetry. This paper proposes that minimal length can be naturally obtained through spin-orbit interaction, leading to space quantization and indicating a breakdown of space continuum near the scale of tabletop experiments.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Physics, Multidisciplinary
Elias C. Vagenas, Ahmed Farag Ali, Mohammed Hemeda, Hassan Alshal
Summary: This paper investigates the massless Reissner-Nordstrom de Sitter metric in the context of minimal length scenarios, proving the confinement of energy density of massless charged particles and their ability to tunnel through the cosmological horizon. The massless particles may interact with Dirac sea, appearing outside the cosmological horizon in dS/CFT holography, potentially providing a fundamental reason for the expansion of the Dirac sea. This could lead to a spacetime Big Crunch.
Article
Physics, Nuclear
Ahmed Farag Ali
Summary: The investigation of Rindler's frame measurements brought about a gravitational interpretation of speed of light, mass, and uncertainty principle from its perspective. This interpretation can be viewed as measurements of a black hole universal clock, leading to the emergence of a timeless state of gravity in a mathematically consistent way – in simple terms, space may be frozen time.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2021)
Article
Astronomy & Astrophysics
Mohamed Moussa, Homa Shababi, Anisur Rahaman, Ujjal Kumar Dey
Summary: The study investigates the temporal evolution of universe temperature with respect to the Hubble parameter associated with Stochastic Gravitational Waves (SGW) within the Generalized Uncertainty Principle (GUP) framework. The research shows that the free parameter alpha in the GUP framework can slightly enhance the SGW frequency at lower frequencies, which may have implications for future SGW detection using gravitational wave facilities.
Article
Astronomy & Astrophysics
Ahmed Farag Ali, Ibrahim Elmashad, Jonas Mureika
Summary: This article presents an argument reinterpreting the generalized uncertainty principle (GUP) and its associated minimal length as an effective variation of Planck constant (h), and suggests that the charge radii and masses of hadrons/nuclei support this effective variation. It also discusses the necessity of varying h and G in explaining the correction to Von Neumann entropy in the Bekenstein-Hawking entropy-area law, and proposes a potential relationship between the effective value of h and the epoch of nucleosynthesis.
Article
Physics, Multidisciplinary
Mohamed Moussa
Summary: This paper investigates the impact of quantum gravity, represented by the generalized uncertainty principle (GUP), on the accretion disk around a Schwarzschild black hole. The modified metric due to GUP is determined. The study focuses on spherically symmetric, steady-state, adiabatic accretion onto a modified Schwarzschild black hole. Analytical formulation of the problem is achieved within the framework of general relativity by assuming a polytropic accreting gas. Despite the decrease in the effective mass of the black hole due to GUP, the rate of mass accretion is accelerated and there is an increase in the critical radius and critical speed of sound with a decrease in critical gas velocity. Furthermore, the gas pressure and temperature profiles below the critical point and at the event horizon are considered and found to increase due to the GUP effect.
Article
Astronomy & Astrophysics
Himangshu Barman, Homa Shababi, Mohamed Moussa, Anisur Rahaman
Summary: We investigate the impact of quantum gravity on the thermodynamic characteristics and radiation processes of thin accretion disks surrounding Schwarzschild-like black holes. To incorporate quantum gravity into our study, we apply the framework of generalization of uncertainty, which is equivalent to the renormalization group improved quantum gravity and maintains the limit of asymptotically safe preposition of gravity. A free parameter, reflecting the quantum effects on spacetime geometry, is introduced to enable the study of the thermal properties of the black hole itself and the accretion disk surrounding it at the quantum level. We explicitly calculate the entropy, temperature, free energy, and enthalpy of the modified black hole and show how they vary with the free parameter encoding the quantum effects. Moreover, we provide estimations of the quantum correction to the time-averaged energy flux, temperature of the disk, differential luminosity, and the conversion efficiency of accretion mass into radiation. We observe a conspicuous shifting of the radius of the innermost stable circular orbit (ISCO) toward small values together with an enhancement of the maximum values of the average thermal radiation and greater conversion efficiency of accreting mass into radiation compared to the classical gravity scenario.
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
(2023)
Article
Physics, Multidisciplinary
Ahmed Farag Ali, Nader Inan
Summary: In tackling the cosmological constant problem, we postulate that the disagreement between the theoretical and observed values can be attributed to the inherent uncertainties in the spacetime metric. Mach's principle and the concept of a particle as a quantum cloud indicate that the precise location of mass is unknowable, making it difficult to comprehend the quantum-level structure of spacetime. The intriguing connection between quantum and spacetime uncertainties may hold the key to resolving the cosmological constant problem, as the scale of spacetime uncertainty aligns with macroscopic quantum weirdness observed in recent experiments.
Article
Physics, Nuclear
Ahmed Farag Ali, Barun Majumder, Prabir Rudra
Summary: Motivated by the generalized uncertainty principle, the authors establish a discrete model of space that respects both Lorentz symmetry and gauge symmetry. They achieve this by equating the linear GUP correction term and the electromagnetic interaction term in the Dirac equation and derive a wave function that satisfies this equivalence. This discretization may provide an explanation for the crystal and quasicrystal structures observed in nature at various energy scales.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2023)
Article
Physics, Particles & Fields
Kimet Jusufi, Emmanuel Moulay, Jonas Mureika, Ahmed Farag Ali
Summary: We construct an Einstein-Rosen (ER) bridge with a wormhole throat proportional to the zero-point length using a string T-duality corrected pair of regular black holes. This could be a geometric realization of quantum entanglement for particle/antiparticle pairs. The extreme mass configuration of a black hole pair can result in an ER bridge with a horizon area coinciding with the Bekenstein minimal area bound and a wormhole mass proportional to the Planck mass, which may relate to gravitational self-completeness with quantum mechanical mass limits. We also discuss the ER bridge for sub-Planckian mass horizonless wormholes, which exhibits a region of negative energy at the throat, possibly generated by quantum fluctuations or the Casimir effect.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Physics, Particles & Fields
Ahmed Farag Ali, Emmanuel Moulay, Kimet Jusufi, Hassan Alshal
Summary: From a geometric perspective, this article demonstrates that the unitary symmetries U(1) and SU(2) can be fundamentally derived from the Schwarzschild and Reissner-Nordstrom wormhole geometries through spacetime complexification. Quantum tunneling is then explored to enable particle traversal of these wormholes, leading to wormhole thermodynamics.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Physics, Multidisciplinary
Homa Shababi, Mohamed Moussa
Summary: This study investigates the effects of generalized uncertainty principle on accretion on Schwarzschild black hole, proposes a modified accretion model, and obtains general critical points locations and conditions. Exact equations for matter density compression and temperature distribution are derived in different scenarios.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2022)
