Quantum gravity corrections to the fall of an apple
Abstract
We consider the motion of a massive particle in a static, weakly curved spacetime where the gravitational field is taken to be quantized. We find that Newton's law of free fall is modified by quantumgravitational corrections, in addition to the known specialrelativistic and postNewtonian modifications. The quantumgravitational corrections take the form of stochastic noise in the particle trajectory, where the statistical properties of the noise depend on the quantum state of the gravitational field.
 Publication:

Physical Review D
 Pub Date:
 March 2023
 DOI:
 10.1103/PhysRevD.107.066024
 arXiv:
 arXiv:2112.14730
 Bibcode:
 2023PhRvD.107f6024C
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 13 pages, LaTeX. v3: references added, expanded discussion