328 citations · 1.7k across the 33 of their papers we have counts for
34 papers
The accidental flatness constraint does not mean a wrong classical limit
Jonathan Engle, Carlo Rovelli
We shed some light on the reason why the accidental flatness constraint appears in certain limits of the amplitudes of covariant loop quantum gravity. We show why this constraint i…
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…
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…
Diffeomorphism invariant cosmological sector in loop quantum gravity
Christopher Beetle, Jonathan Steven Engle, Matthew Ernest Hogan +1
In this paper we work out in detail a new proposal to define rigorously a sector of loop quantum gravity at the diffeomorphism invariant level corresponding to homogeneous and isot…
Uniqueness of the Representation in Homogeneous Isotropic LQC
Jonathan Engle, Maximilian Hanusch, Thomas Thiemann
We show that the standard representation of homogeneous isotropic loop quantum cosmology (LQC) is the GNS-representation that corresponds to the unique state on the reduced quantum…
Kinematical uniqueness of homogeneous isotropic LQC
Jonathan Engle, Maximilian Hanusch
In a paper by Ashtekar and Campiglia, invariance under volume preserving residual diffeomorphisms has been used to single out the standard representation of the reduced holonomy-fl…