37 citations · 160 across the 12 of their papers we have counts for
12 papers
Bouncing Bianchi Models with Deformed Commutation Relations
Gabriele Barca, Steffen Gielen
We study the anisotropic Bianchi I and Bianchi II models in vacuum in the framework of deformed commutation relations (DCRs). Working in a parametrisation of the spatial metric by…
Fate of Mixmaster Chaos in a Deformed Algebra framework
G. Barca, E. Giovannetti
We analyze the anisotropic Bianchi models, and in particular the Bianchi Type IX known as the Mixmaster universe, where the Misner anisotropic variables obey Deformed Commutation R…
Quantum Isotropic Universe in RQM Analogy: the Cosmological Horizon
Gabriele Barca, Luisa Boglioni, Giovanni Montani
We investigate the quantum dynamics of the isotropic Universe in the presence of a free massless scalar field, playing the role of a physical clock. The Hilbert space is constructe…
Non-Singular Gravitational Collapse through Modified Heisenberg Algebra
Gabriele Barca, Giovanni Montani
We study the effects of cut-off physics, in the form of a modified algebra inspired by Polymer Quantum Mechanics and by the Generalized Uncertainty Principle representation, on the…
Emergent Universe Model from Modified Heisenberg Algebra
Gabriele Barca, Giovanni Montani, Alessandro Melchiorri
We provide an Emergent Universe picture in which the fine-tuning on the initial conditions is replaced by cut-off physics, implemented on a semiclassical level when referred to the…
PQM and the GUP: Implications of Lattice Dynamics and Minimal Uncertainties in Quantum Mechanics and Cosmology
Gabriele Barca, Eleonora Giovannetti, Giovanni Montani
We compare two alternative representations of quantum mechanics: Polymer Quantum Mechanics (PQM), which presents features similar to Loop Quantum Gravity and Loop Quantum Cosmology…
Comparison of the Semiclassical and Quantum Dynamics of the Bianchi I Cosmology in the Polymer and GUP Extended Paradigms
Gabriele Barca, Eleonora Giovannetti, Giovanni Montani
We compare in some detail Polymer Quantum Mechanics and the Generalized Uncertainty Principle approach to clarify to what extent we can treat them on the same footing. We show that…
Polymer Quantization of the Isotropic Universe: comparison with the Bounce of Loop Quantum Cosmology
Gabriele Barca, Eleonora Giovannetti, Federico Mandini +1
We implement Polymer Quantum Mechanics on the Hamiltonian formulation of the isotropic Universe in both the representations of the standard Ashtekar-Barbero-Immirzi connection and…
An Overview on the Nature of the Bounce in LQC and PQM
Gabriele Barca, Eleonora Giovannetti, Giovanni Montani
We present a review on basic aspects of quantum cosmology in the presence of cut-off physics. We first analyze how the Wheeler-DeWitt equation in a pure metric approach describes t…
Polymer dynamics of isotropic universe in Ashtekar and in volume variables
Eleonora Giovannetti, Gabriele Barca, Federico Mandini +1
We analyze the semiclassical and quantum polymer dynamics of the isotropic Universe in terms of both the standard Ashtekar-Barbero-Immirzi connection and its conjugate momentum and…
Semiclassical and Quantum Polymer Effects in the Flat Isotropic Universe
Gabriele Barca, Paolo Di Antonio, Giovanni Montani +1
We analyze some relevant semiclassical and quantum features of the implementation of Polymer Quantum Mechanics to the phenomenology of the flat isotropic Universe. We firstly inves…
Semi-classical and quantum analysis of the isotropic Universe in the polymer paradigm
Giovanni Montani, Claudia Mantero, Flavio Bombacigno +2
We analyse the semi-classical and quantum dynamics of the isotropic Universe in the framework of the Polymer Quantum mechanics, in order to implement a cut-off physics on the initi…