Quantum solitonic wave-packet of a meso-scopic system in singularity free gravity

TL;DR

This paper explores soliton-like quantum wave-packets in ghost-free gravity theories, showing they have larger spreads than Newtonian gravity, which could enable tabletop tests of quantum gravity effects.

Contribution

It introduces soliton solutions in infinite derivative ghost-free gravity theories and analyzes their quantum spreading properties beyond classical gravity.

Findings

Quantum spread is larger than in Newtonian gravity.

Soliton solutions resolve gravitational singularities.

Potential for tabletop experiments to test quantum gravity.

Abstract

In this paper we will discuss how to localise a quantum wave-packet due to self-gravitating meso-scopic object by taking into account gravitational self-interaction in the Schr\"odinger equation beyond General Relativity. In particular, we will study soliton-like solutions in infinite derivative ghost free theories of gravity, which resolves the gravitational $1/r$ singularity in the potential. We will show a unique feature that the quantum spread of such a gravitational system is larger than that of the Newtonian gravity, therefore enabling us a window of opportunity to test classical and quantum properties of such theories of gravity in the near future at a table-top experiment.