One of remarkable features loop quantum gravity (LQG) is that it can provide resolutions to both the black hole and big bang singularities. In mini-superspace approach based on polymerization procedure in LQG, a corrected metric constructed. This also known as self-dual spacetime since form invariant under exchange $r \to a_0/r$ with $a_0$ being proportional minimum area LQG $r$ standard radial...

The Barbero-Immirzi parameter ($\gamma$) is introduced in loop quantum gravity (LQG) whose physical significance still a biggest open question; because of its profound traits. In some cases, it real-valued; while, complex-valued other cases. This emerges out the process denoting Lorentz connection with non compact group $SO(3,1)$ form complex values rotations, either $SO(3)$ or $SU(2)$. Initial...

The problem of simulating complex quantum processes on classical computers gave rise to the field simulations. Quantum simulators solve problems, such as Boson sampling, where counterparts fail. In another physics, unification general relativity and theory is one greatest challenges our time. One leading approach Loop Gravity (LQG). Here, we connect these two fields design a linear-optical simu...

The discrete-time optimal projection equations, which constitute necessary conditions for optimal reducedorder LQG compensation, are strengthened. For the class of minimal stabilizing compensators the strengthened discrete-time optimal projection equations are proved to be equivalent tofirst-order necessary optimality conditionsfor optimal reduced-order LQG compensation. The conventional discre...

This paper applies multivariable linear quadratic Gaussian (LQG) control strategies to a proton exchange membrane fuel cell (PEMFC) system. From the system point of view, a PEMFC can be modeled as a two-input-two-output system, where the inputs are air and hydrogen flow rates and the outputs are cell voltage and current. By fixing the output resistance, we aimed to control the cell voltage outp...

The volume operator plays a pivotal role for the quantum dynamics of Loop Quantum Gravity (LQG), both in the full theory and in truncated models adapted to cosmological situations coined Loop Quantum Cosmology (LQC). It is therefore crucial to check whether its semiclassical limit coincides with the classical volume operator plus quantum corrections. In the present article we investigate this q...

With increasing demands on speed and accuracy of positioning systems, friction and compliance which are present in every mechanical system have to be actively influenced by control. This requires to abandon the wide-spread classical (PI, PID) control concepts and apply more advanced approaches. LQG (linear quadratic Gaussian) control is one of the candidates which is capable to do active vibrat...

The Koslowski–Sahlmann (KS) representation is a generalization of the representation underlying the discrete spatial geometry of loop quantum gravity (LQG), to accommodate states labelled by smooth spatial geometries. As shown recently, the KS representation supports, in addition to the action of the holonomy and flux operators, the action of operators which are the quantum counterparts of cert...

The aim of this paper is to examine the effect of inclusion of a linear quadratic Gaussian controller instead of the conventional AVR with the existence of a PSS for improving the dynamic stability of power system. The present work introduces a computational methodology that adopted a Linear Quadratic Gaussian (LQG) controller to control the generator. In this method the models of both the sync...