In this paper we will study for the first time how the wave-packet of a self-gravitating meso-scopic system spreads in theories beyond Einsteinâ's general relativity. In particular, we will consider a ghost-free infinite derivative gravity, which resolves the 1Â /Â r singularity in the potential âs such that the gradient of the potential vanishes within the scale of non-locality. We will show that a quantum wave-packet spreads faster for a ghost-free and singularity-free gravity as compared to the Newtonian case, therefore providing us a unique scenario for testing classical and quantum properties of short-distance gravity in a laboratory in the near future.
Quantum spreading of a self-gravitating wave-packet in singularity free gravity
Buoninfante, Luca;Lambiase, Gaetano;
2018
Abstract
In this paper we will study for the first time how the wave-packet of a self-gravitating meso-scopic system spreads in theories beyond Einsteinâ's general relativity. In particular, we will consider a ghost-free infinite derivative gravity, which resolves the 1Â /Â r singularity in the potential âs such that the gradient of the potential vanishes within the scale of non-locality. We will show that a quantum wave-packet spreads faster for a ghost-free and singularity-free gravity as compared to the Newtonian case, therefore providing us a unique scenario for testing classical and quantum properties of short-distance gravity in a laboratory in the near future.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.