Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Obregón, Octavio"'
Quantum Black Hole as a Harmonic Oscillator from the Perspective of the Minimum Uncertainty Approach
Autor:
Obregón, Octavio, Yupanqui, Wilfredo
Starting from the Wheeler-DeWitt equation for the Schwarzschild black hole interior, which is derived from a Hamiltonian formulated in terms of canonical phase space coordinates, we show that by applying a simple reparametrization, this equation can
Externí odkaz:
http://arxiv.org/abs/2409.09181
The Generalized Uncertainty Principle (GUP) modifies the Heisenberg Uncertainty Principle (HUP) between position and momentum by introducing a nonzero minimum uncertainty in position. In a previous study, we demonstrated the emergence of GUP from non
Externí odkaz:
http://arxiv.org/abs/2407.21746
Publikováno v:
Class. Quantum Grav. 41 (2024) 135011
In a previous work we studied the interior of the Schwarzschild black hole implementing an effective minimal length, by applying a modification to the Poisson brackets of the theory. In this work we perform a proper quantization of such a system. Spe
Externí odkaz:
http://arxiv.org/abs/2310.04600
Publikováno v:
Physics Letters B, Volume 836, 10 January 2023, 137636
The Heisenberg uncertainty principle is known to be connected to the entropic uncertainty principle. This correspondence is obtained employing a Gaussian probability distribution for wave functions associated to the Shannon entropy. Independently, du
Externí odkaz:
http://arxiv.org/abs/2206.14166
Autor:
Fuentes, Jesús, Obregón, Octavio
It is discussed how the superstatistical formulation of effective Boltzmann factors can be related to the concept of Kolmogorov complexity, generating an infinite set of complexity measures (CMs) for quantifying information. At this level, the inform
Externí odkaz:
http://arxiv.org/abs/2101.09147
Autor:
Fuentes, Jesús, Obregón, Octavio
As an application of generalised statistical mechanics, it is studied a possible route toward a consistent generalised information theory in terms of a family of non-extensive, non-parametric entropies $H^\pm_D(P)$. Unlike other proposals based on no
Externí odkaz:
http://arxiv.org/abs/2103.11759
Publikováno v:
Class. Quantum Grav. 38 (2021) 14, 145006
We consider the classical Hamiltonian of the interior of the Schwarzschild black hole in Ashtekar-Barbero connection formalism. Then, inspired by generalized uncertainty principle models, we deform the classical canonical algebra and derive the effec
Externí odkaz:
http://arxiv.org/abs/2012.04795
Exploring the analogy between quantum mechanics and statistical mechanics we formulate an integrated version of the Quantropy functional [1]. With this prescription we compute the propagator associated to Boltzmann-Gibbs statistics in the semiclassic
Externí odkaz:
http://arxiv.org/abs/1907.03172
Publikováno v:
EPL (Europhysics Letters), Volume 128, Number 6, 2020
We extend the Hanel and Thurner asymptotic analysis to both extensive and non-extensive entropies on the basis of a wide class of entropic forms. The procedure is known to be capable to classify multiple entropy measures in terms of their defining eq
Externí odkaz:
http://arxiv.org/abs/1904.07858
Autor:
Bosso, Pasquale, Obregón, Octavio
Publikováno v:
Class.Quant.Grav. 37 (2020) no.4, 045003
A Kantowski-Sachs model with a modified quantization prescription is considered. Such quantization rules, inspired by the so-called Generalized Uncertainty Principle (GUP), correspond to a modified commutation relation between minisuperspace variable
Externí odkaz:
http://arxiv.org/abs/1904.06343