39 citations · 400 across the 54 of their papers we have counts for
56 papers
Generalization of Bohmian Mechanics and Quantum Gravity Effective Action
Aleksandar Mikovic
We generalize the de Broglie-Bohm (dBB) formulation of quantum mechanics to the case of quantum gravity (QG) by using the effective action for a QG theory. This is done by replacin…
Finiteness of piecewise flat quantum gravity with matter
Aleksandar Mikovic
We review the approach to quantum gravity which is based on the assumption that the short-distance structure of the spacetime is given by a piecewise flat manifold corresponding to…
Physical States and Transition Amplitudes in Piecewise Flat Quantum Gravity
Aleksandar Mikovic
We show how the path integral for gravity and matter on a piecewise flat spacetime can be used to define the physical quantum gravity states and the related transition amplitudes.…
Finiteness of quantum gravity with matter on a PL spacetime
Aleksandar Mikovic
We study the convergence of the path integral for General Relativity with matter on a picewise linear (PL) spacetime that corresponds to a triangulation of a smooth manifold by usi…
Effective Actions for Regge Piecewise Flat Quantum Gravity
Aleksandar Mikovic
We review the construction of the path integral and the corresponding effective action for the Regge formulation of General Relativity under the assumption that the short-distance…
Self-dual cosmological Bianchi IX and VIII metrics
A. Mikovic, N. Manojlovic
We show that self-dual Bianchi IX and VIII cosmological models are described by the Nahm dynamical system for an appropriate type of matrices. We construct the general solutions in…