5 papers
Countable uniformly discrete sets in functionally balanced groups
Li-Hong Xie, Dekui Peng, Jiang Yang
We prove that every countable left uniformly discrete subset of a Hausdorff functionally balanced topological group is right thin. As applications, we answer two questions of Bouzi…
Topological Thermodynamics of Generalized Bardeen Black Hole
A. A. M. Silva, M. H. Macedo, R. R. Landim
Neves and Saa introduced a two parameter spacetime that includes the Hayward, Bardeen, and Simpson-Visser geometries as particular cases. In this work, we employ the generalized of…
Topological Thermodynamics of Black Holes: Revisiting the methods of winding numbers calculation
A. A. M. Silva, G. Alencar, C. R. Muniz +2
In this paper, the equivalence between two methods for computing winding numbers is established: the approach of -mapping topological current and the residue method. The method…
Quantum Gravity and Effective Topology
J. van der Duin, R. Loll, M. Schiffer +1
We introduce a new methodology to characterize properties of quantum spacetime in a strongly quantum-fluctuating regime, using tools from topological data analysis. Starting from a…
Exploring Quantum Spacetime with Topological Data Analysis
J. van der Duin, R. Loll, M. Schiffer +1
In a novel application of the tools of topological data analysis (TDA) to nonperturbative quantum gravity, we introduce a new class of observables that allows us to assess whether…