122 citations · 196 across the 7 of their papers we have counts for
7 papers
Uniqueness of minimal loop quantum cosmology dynamics
Jonathan Engle, Ilya Vilensky
We show that the standard Hamiltonian of isotropic loop quantum cosmology is selected by physical criteria plus one choice: that it have a `minimal' number of terms. We also show t…
Entanglement entropy of Bell-network states in LQG: Analytical and numerical results
Eugenio Bianchi, Pietro Dona, Ilya Vilensky
Bell-network states are loop-quantum-gravity states that glue quantum polyhedra with entanglement. We present an algorithm and a code that evaluates the reduced density matrix of a…
Deriving loop quantum cosmology dynamics from diffeomorphism invariance
Jonathan Engle, Ilya Vilensky
We use the requirement of diffeomorphism invariance in the Bianchi I context to derive the form of the quantum Hamiltonian constraint. After imposing the correct classical behavior…
Spinfoam cosmology with the proper vertex amplitude
Ilya Vilensky
The proper vertex amplitude is derived from the EPRL vertex by restricting to a single gravitational sector in order to achieve the correct semi-classical behaviour. We apply the p…
Realistic Observable in Background-Free Quantum Gravity: the Planck-Star Tunnelling-Time
Marios Christodoulou, Carlo Rovelli, Simone Speziale +1
A gravitationally collapsed object can bounce-out from its horizon via a tunnelling process that violates the classical equations in a finite region. Since tunnelling is a non-pert…
Hessian and graviton propagator of the proper vertex
Atousa Chaharsough Shirazi, Jonathan Engle, Ilya Vilensky
The proper spin-foam vertex amplitude is obtained from the EPRL vertex by projecting out all but a single gravitational sector, in order to achieve correct semi-classical behavior.…
The Lorentzian proper vertex amplitude: Asymptotics
Jonathan Engle, Ilya Vilensky, Antonia Zipfel
In previous work, the Lorentzian proper vertex amplitude for a spin-foam model of quantum gravity was derived. In the present work, the asymptotics of this amplitude are studied in…