3 citations · 3 across the 3 of their papers we have counts for
9 papers
Barbero-Immirzi Value from Experiment
Leonid Perlov
We consider General Relativity as a limit case of the Scalar-Tensor theory with Barbero-Immirzi field when the field tends to a constant. We use Shapiro time delay experimental lim…
Hamiltonian and Diffeomorphism Constraints Generalized for Timelike and Spacelike 3+1 Foliation
Leonid Perlov
The form of Hamiltonian and Diffeomorphism constraints in Sen-Ashtekar-Barbero-Immirzi variables is well known for the spacelike 3+1 ADM foliation. It is also known that Sen-Ashtek…
SU(2) and SU(1,1) Y-Maps in Loop Quantum Gravity
Leonid Perlov
In this paper we first provide the proof of Y-Map convergence. Then, by using LQG simplicity constraints we define Y-Map from infinitely differentiable…
SO(2,1) Connection in Timelike 3+1 Foliation
Leonid Perlov
We introduce 3+1 timelike foliation of the four dimensional Lorentz manifold to derive the 3+1 Sen-Ashtekar-Barbero-Immirzi formalism in case of rotation gauge group, whi…
Revisiting Quantum Volume Operator
Leonid Perlov
In this paper we introduce the n-dimensional hypersurface quantum volume operator by using the n-dimensional holonomy variation formula. Instead of trying to construct the n-dimens…
Uncertainty Principle in Loop Quantum Cosmology by Moyal Formalism
Leonid Perlov
In this paper we derive the uncertainty principle for the Loop Quantum Cosmology homogeneous and isotropic FLWR model with the holonomy-flux algebra. The uncertainty principle is b…