1 citations · 4 across the 4 of their papers we have counts for
8 papers
Relativistic classical theory II. Holonomy-flux representation of gravitational degrees of freedom
Jakub Bilski
This article describes the regularization of the generally relativistic gauge field representation of gravity on a piecewise linear lattice. It is a part of the program concerning…
Continuously distributed holonomy-flux algebra
Jakub Bilski
The procedure of the holonomy-flux algebra construction along a piecewise linear path, which consists of a countably infinite number of pieces, is described in this article. The re…
Lie algebra of Ashtekar-Barbero connection operators
Jakub Bilski
Holonomies of the Ashtekar-Barbero connection can be considered as abstract elements of a Lie group exponentially mapped from their connections representation. This idea provides a…
General-relativistic spin system
Danilo Artigas, Jakub Bilski, Sean Crowe +2
The models of spin systems defined on Euclidean space provide powerful machinery for studying a broad range of condensed matter phenomena. While the non-relativistic effective desc…
Regularization of the cosmological sector of loop quantum gravity with bosonic matter and the related problems with general covariance of quantum corrections
Jakub Bilski
This article concerns the problems regarding different lattice regularization techniques for the matter fields of Hamiltonian constraints defined in the framework of loop quantum g…
Critical Insight into the Cosmological Sector of Loop Quantum Gravity
Jakub Bilski, Antonino Marciano
This article sheds new light on the problem of cosmological reduction in Loop Quantum Gravity. We critically analyze Quantum Reduced Loop Gravity -- an attempt to extract the cosmo…