Quantum gravity corrections to the fall of an apple
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 quantum-gravitational corrections, in addition to the known special-relativistic and post-Newtonian modifications. The quantum-gravitational 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.
Physical Review D
- Pub Date:
- March 2023
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- 13 pages, LaTeX. v3: references added, expanded discussion