English

Quantum Gravity Corrections to the Fall of the Apple

General Relativity and Quantum Cosmology 2023-04-13 v3 High Energy Physics - Theory

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 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.

Keywords

Cite

@article{arxiv.2112.14730,
  title  = {Quantum Gravity Corrections to the Fall of the Apple},
  author = {Samarth Chawla and Maulik Parikh},
  journal= {arXiv preprint arXiv:2112.14730},
  year   = {2023}
}

Comments

13 pages, LaTeX. v3: references added, expanded discussion