The fate of matter forming a black hole is still an open problem, although models quantum gravity corrected holes are available. In loop (LQG) were presented, which resolve the classical singularity in centre by means black-to-white transition, but neglect collapse process. situation similar other approaches, where eternal non-singular this paper, strategy presented to generalise these dynamica...

In this article, we consider optimal controller synthesis of a quantized-feedback linear-quadratic-Gaussian (QF-LQG) system, where the measurements are to be quantized before being transmitted controller. The system is presented with several choices quantizers, along cost operating each quantizer. objective jointly select quantizers and that would maintain an balance between control performance...

In this paper, we study the existence of LQG-balanced realizations (i.e., realizations for which the solutions of the control and filter Riccati equations are equal) for discrete time infinite-dimensional systems.

In this paper we deliver the proofs for the claims, made in a companion paper, concerning the avoidance of cosmological curvature singularities in in full Loop Quantum Gravity (LQG). ∗[email protected],[email protected] [email protected],[email protected]

We propose an approach which, by combining insights from Loop Quantum Gravity (LQG), Topos theory, Non-commutative Geometry \`a la Connes, and spacetime relationalism, provides fertile ground for the search of adequate picture in Gravity. With this approach, we obtain a novel way deducing quantization possible values area surface. One gets same than those operator standard LQG, but our makes fu...

The problem of minimizing or maximizing the time spent by a controlled diffusion process in given interval is known as LQG homing. optimal control, when it possible to obtain an explicit solution such problem, often expressed special functions. Here, inverse considered: we determine, under certain assumptions, processes for which control simple power function. Moreover, extended case jump-diffu...