Skip to main content

Gravity from the uncertainty principle


It is shown here that Newton’s gravity law can be derived from the uncertainty principle. The idea is that as the distance between two bodies in mutual orbit decreases, their uncertainty of position decreases, so their momentum and hence the force on them must increase to satisfy the uncertainty principle. When this result is summed over all the possible interactions between the Planck masses in the two bodies, Newton’s gravity law is obtained. This model predicts that masses less than the Planck mass will be unaffected by gravity and so it may be tested by looking for an abrupt decrease in the density of space dust, for masses above the Planck mass.

This is a preview of subscription content, access via your institution.


Download references


Thanks to B. Kim for encouragement.

Author information

Authors and Affiliations


Corresponding author

Correspondence to M. E. McCulloch.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

McCulloch, M.E. Gravity from the uncertainty principle. Astrophys Space Sci 349, 957–959 (2014).

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI:


  • Gravity
  • Uncertainty principle
  • Quantum gravity
  • Space dust