A bstract We describe an algebra of observables for a static patch in de Sitter space, with
operators gravitationally dressed to the worldline of an observer. The algebra is a von …

A review is presented of the unitarity problem in modern quantum cosmology-quantum
gravity theory of spatially closed worlds. Based on the usual path-integral quantization of …

A bstract We obtain solutions of the Wheeler-DeWitt equation with positive cosmological
constant for a closed universe in the large-volume limit. We argue that this space of solutions …

An anomaly-free operator corresponding to the Wheeler-DeWitt constraint of Lorentzian, four-
dimensional, canonical, non-perturbative vacuum gravity is constructed in the continuum …

Quantization of diffeomorphism invariant theories of connections is studied and the quantum
diffeomorphism constraint is solved. The space of solutions is equipped with an inner …

A bstract We study the natural norm on the space of solutions to the Wheeler-DeWitt
equation in an asymptotically de Sitter spacetime. We propose that the norm is obtained by …

A Wheeler-DeWitt quantum constraint operator for four-dimensional, non-perturbative
Lorentzian vacuum quantum gravity is defined in the continuum. The regulated Wheeler …

We derive a spacetime formulation of quantum general relativity from (Hamiltonian) loop
quantum gravity. In particular, we study the quantum propagator that evolves the three …

We study quantum field theories placed on a two-dimensional de Sitter spacetime (dS 2)
with an eye on the group-theoretic organization of single and multi-particle states. We …

We determine the complete and rigorous kernel of the Wheeler-DeWitt constraint operator
for four-dimensional, Lorentzian, non-perturbative, canonical vacuum quantum gravity in the …