6 papers
Big-Bounce in Quantum f(R)-Cosmology: Polymer Dynamics with Internal Time
M. L. Limongi, S. Lo Franco, G. Montani +1
We construct the Hamiltonian formulation of the isotropic Universe in a generic metric f(R)-theory in the Jordan frame. We canonically quantize the Universe volume via a polymer fo…
Unitary equivalence in Generalized Uncertainty Principle theories
Sebastiano Segreto, Matteo Bruno
We analyze the issue of unitary equivalence within Generalized Uncertainty Principle (GUP) theories in the one-dimensional case. For a deformed Heisenberg algebra, its representati…
Generalized Uncertainty Principle theory with a single constraint
Matteo Bruno, Sebastiano Segreto
We aim to analyze the consistency of the deformation of the Heisenberg algebra in the setting of constrained Hamiltonian systems, providing a procedure to induce the deformation on…
Dynamics of the Mixmaster Universe in a non-commutative Generalized Uncertainty Principle framework
Sebastiano Segreto, Giovanni Montani
In this work, we examine the dynamical aspects of the cosmological Mixmaster model within the framework of non-commutative generalized uncertainty principle (GUP) theories. The the…
Generalized Uncertainty Principle theories and their classical interpretation
Matteo Bruno, Sebastiano Segreto, Giovanni Montani
In this work, we show that it is possible to define a classical system associated with a Generalized Uncertainty Principle (GUP) theory via the implementation of a consistent sympl…
n-dimensional non-commutative GUP quantization and application to the Bianchi I model
Sebastiano Segreto, Giovanni Montani
We analyse a n-dimensional Generalized Uncertainty Principle (GUP) quantization framework, characterized by a non-commutative nature of the configurational variables. First, we ide…