Eur. Phys. J. C (2014) 74: 2987
https://doi.org/10.1140/epjc/s10052-014-2987-z

Regular Article - Theoretical Physics

Resolution of curvature singularities from quantum mechanical and loop perspective

¹ Department of Physics, Eastern Mediterranean University, G. Magusa, North Cyprus, Mersin 10, Turkey
² Faculty of Mathematics and Physics, Institute of Theoretical Physics, Charles University in Prague, V Holešovičkách 2, 180 00 , Prague 8, Czech Republic

^* e-mail: tayabeh.tahamtan@emu.edu.tr

Received: 31 December 2013
Accepted: 21 July 2014
Published online: 7 August 2014

Abstract

We analyze the persistence of curvature singularities when analyzed using quantum theory. First, quantum test particles obeying the Klein–Gordon and Chandrasekhar–Dirac equation are used to probe the classical timelike naked singularity. We show that the classical singularity is felt even by our quantum probes. Next, we use loop quantization to resolve a singularity hidden beneath the horizon. The singularity is resolved in this case.