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
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
Michael Bishop, Joey Contreras, Douglas Singleton
Summary: In this study, an important feature of the generalized uncertainty principle (GUP) approach to quantizing gravity is highlighted: different pairs of modified operators can have different physical consequences, depending on the modifications to the position and/or momentum operators rather than just the resulting modified commutator.
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
Pasquale Bosso, Giuseppe Gaetano Luciano, Luciano Petruzziello, Fabian Wagner
Summary: This study examines various arguments in quantum gravity, both model-dependent and model-independent, which suggest a modification of Heisenberg's uncertainty principle near the Planck scale. This modification is attributed to the existence of a minimal length. The study critically reviews the conceptual shortcomings of the underlying framework and recent developments in the field. It addresses issues such as relativity, field theory generalizations, the classical limit, and the application to composite systems. Additionally, the study comments on the use of heuristic arguments and presents a comprehensive list of constraints on the model parameter ss, considering their derivation rigor and potential problems with composites.
CLASSICAL AND QUANTUM GRAVITY
(2023)
Article
Physics, Multidisciplinary
Andre Herkenhoff Gomes
Summary: The existence of a fundamental length scale in nature is predicted by various quantum gravity models. If discovered, it would have significant implications for our understanding of quantum phenomena and may lead to modifications of the Heisenberg uncertainty principle. Despite previous attention, there has not been a common framework for the systematic investigation of generalized uncertainty principles (GUP). In this study, we provide such a framework within the context of nonrelativistic quantum mechanics, based on a few assumptions and simple dimensional analysis.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Physics, Multidisciplinary
B. Hamil, B. C. Lutfuoglu
Summary: One of the main features of Nouicer's GUP formalism is its consideration of deformation contributions to all orders of the Planck length. This manuscript applies the formalism to examine various interesting applications such as ideal gas thermodynamics, Unruh-Davies-DeWitt-Fulling effect, cosmological constant, and blackbody radiation spectrum. GUP corrected results are derived and compared with conventional ones in all cases.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2022)
Article
Astronomy & Astrophysics
Pasquale Bosso
Summary: Quantum mechanical models with a minimal length often involve modifying the relationship between position and momentum. While this is a minor complication in momentum space, the representation in (quasi-)position space poses many issues and leads to misunderstandings. This work reviews and clarifies some aspects of minimal length models, focusing on the representation of the position operator.
CLASSICAL AND QUANTUM GRAVITY
(2021)
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
Quantum Science & Technology
S. Aghababaei, H. Moradpour
Summary: The emergence of the generalized uncertainty principle is closely related to the existence of a non-zero minimal length. The Heisenberg uncertainty principle is central to the EPR paradox. In this study, the implications of adopting the generalized uncertainty principle (or equivalently, the minimal length) instead of the Heisenberg uncertainty principle on quantum non-locality are examined through the Franson experiment, which relies on energy-time entanglement to understand and explain the results. The survey also demonstrates the power of this experiment in testing the generalized uncertainty principle.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Astronomy & Astrophysics
Xavier Calmet, Stephen D. H. Hsu
Summary: The precision of angular measurements or rotations is limited by fundamental constraints from quantum mechanics and general relativity, with a fundamental limitation in Planck units indicating that spin states with sufficiently small differences in rotation cannot be experimentally distinguished. This raises important implications for finitism and questions whether physics requires infinity or a continuum.
Article
Physics, Multidisciplinary
Md. Abhishek, Bhabani Prasad Mandal
Summary: We study Landau diamagnetism within the framework of the generalised uncertainty principle (GUP). By constructing the grand partition function for diamagnetic material in this framework, we calculate the correction to magnetisation and susceptibility. We explicitly demonstrate that Curie's law receives a temperature-independent correction, which disappears when quantum gravity effects are ignored. We also explore the low-temperature limit to understand how GUP affects the de Haas-van Alphen effect.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Astronomy & Astrophysics
Pasquale Bosso, Juan Manuel Lopez Vega
Summary: The generalized uncertainty principle (GUP) introduces the concept of a minimal length by modifying the uncertainty relation between momentum and position, as predicted by quantum gravity theories. By incorporating GUP, Planck's distribution can be derived and used to explain the thermodynamics of black body radiation, leading to modifications of Wien's law and the Stefan-Boltzmann law at the Planck scale.
CLASSICAL AND QUANTUM GRAVITY
(2022)
Article
Astronomy & Astrophysics
Pasquale Bosso
Summary: Phenomenological studies of quantum gravity propose modifying the commutator between position and momentum in quantum mechanics to introduce minimal uncertainty in position. This study demonstrates the influence of space and time transformations on shaping quantities like momentum, energy, and their relationships with transformation generators. This influence determines the time evolution of quantum systems, with the Schrodinger equation identical to the ordinary case in the example of Galilean transformations.
CLASSICAL AND QUANTUM GRAVITY
(2023)
Article
Physics, Particles & Fields
Fabian Wagner
Summary: The minimal and maximal uncertainties of position measurements are considered to be important characteristics of low-energy quantum and classical gravity. This study shows that the Generalized Extended Uncertainty Principle can be described in terms of quantum dynamics on a general curved cotangent manifold, with the curvature tensors being related to the noncommutativity of coordinates and momenta. The covariance of the approach leads to interesting subclasses of noncommutative geometries and enables the derivation of anisotropically deformed uncertainty relations from general background geometries.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Astronomy & Astrophysics
Nelson R. F. Braga, Octavio C. Junqueira
Summary: This study investigates the influence of rotation on the transition temperature of strongly interacting matter produced in non-central heavy ion collisions. By using a holographic description of an AdS black hole, the authors extend the analysis to the more realistic case where the matter spreads over a region around the rotational axis. The results show the coexistence of confined and deconfined phases and are consistent with the concept of local temperature in rotating frames developed by Tolman and Ehrenfest.
Article
Astronomy & Astrophysics
Bing Sun, Jiachen An, Zhoujian Cao
Summary: This paper investigates the effect of gravitational constant variation on the propagation of gravitational waves. By employing two analytical methods, the study finds that variations in the gravitational constant result in amplitude and phase corrections for gravitational waves, and the time variation of the gravitational constant can be constrained through the propagation of gravitational waves.
Article
Astronomy & Astrophysics
Abdellah Touati, Zaim Slimane
Summary: This letter presents the first study of Hawking radiation as a tunneling process within the framework of non-commutative gauge theory of gravity. The non-commutative Schwarzschild black hole is reconstructed using the Seiberg-Witten map and the star product. The emission spectrum of outgoing massless particles is computed using the quantum tunneling mechanism. The results reveal pure thermal radiation in the low-frequency scenario, but a deviation from pure thermal radiation in the high-frequency scenario due to energy conservation. It is also found that noncommutativity enhances the correlations between successively emitted particles.
Article
Astronomy & Astrophysics
Shahar Hod
Summary: The travel times of light signals between two antipodal points on a compact star's surface are calculated for two different trajectories. It is shown that, for highly dense stars, the longer trajectory along the surface may have a shorter travel time as measured by asymptotic observers. A critical value of the dimensionless density-area parameter is determined for constant density stars to distinguish cases where crossing through the star's center or following a semi-circular trajectory on the surface has a shorter travel time as measured by asymptotic observers.
