80 citations · 154 across the 8 of their papers we have counts for
15 papers · 1 filter
Discrete space-time
Rodolfo Gambini, Jorge Pullin
We review recent efforts to construct gravitational theories on discrete space-times, usually referred to as the ``consistent discretization'' approach. The resulting theories are…
Fundamental decoherence in quantum gravity
Rodolfo Gambini, Rafael Porto, Jorge Pullin
A recently introduced discrete formalism allows to solve the problem of time in quantum gravity in a relational manner. Quantum mechanics formulated with a relational time is not e…
Fundamental decoherence from relational time in discrete quantum gravity: Galilean covariance
Rodolfo Gambini, Rafael Porto, Jorge Pullin
We have recently argued that if one introduces a relational time in quantum mechanics and quantum gravity, the resulting quantum theory is such that pure states evolve into mixed s…
Dirac-like approach for consistent discretizations of classical constrained theories
Cayetano Di Bartolo, Rodolfo Gambini, Rafael Porto +1
We analyze the canonical treatment of classical constrained mechanical systems formulated with a discrete time. We prove that under very general conditions, it is possible to intro…
Consistent and mimetic discretizations in general relativity
Cayetano Di Bartolo, Rodolfo Gambini, Jorge Pullin
A discretization of a continuum theory with constraints or conserved quantities is called mimetic if it mirrors the conserved laws or constraints of the continuum theory at the dis…
Canonical quantization of constrained theories on discrete space-time lattices
Cayetano Di Bartolo, Rodolfo Gambini, Jorge Pullin
We discuss the canonical quantization of systems formulated on discrete space-times. We start by analyzing the quantization of simple mechanical systems with discrete time. The qua…