Testing the inverse-square law
of gravity in boreholes at the Nevada Test Site.
The final measurement in this group of related experiments was a test of the inverse-square law
of gravitation on the scale of meters to kilometers.
If there were two extra dimensions, however, each would have a scale of 0.1 to 1.0 mm--large enough to be detectable but small enough not to be ruled out by tests of the inverse-square law
Testing the Inverse-Square Law
of Gravity in Boreholes at the Nevada Test Site, Physical Review Letters, 1990, v.
Acknowledging that Newton had succeeded in solving the mathematical problem but incensed that his own name is not mentioned in a section of Newton's treatise recently read at a Royal Society meeting, Hooke has demanded that Newton give him proper credit in the Principia for the inverse-square law
Test of the Gravitational Inverse-Square Law
at Laboratory Distances.
Astronomer Stacy McGaugh (University of Maryland) puts it this way: "Suppose Newton, upon studying the solar system, would have formulated an inverse-cube law, claiming that the observed inverse-square law
is the result of some mysterious, undetected dark matter.
In 1981 Israeli physicist Mordehai Milgrom conceived a way to avoid the need for dark matter: modify Newton's inverse-square law
of gravity over very large distances.
Thus, the inverse-square law
of gravitation is derived by methods of hydrodynamics based on a sink flow model of particles.
This result would disqualify proposed explanations such as dark matter in the solar system, the pull of Kuiper Belt objects, and alterations to Newton's inverse-square law
over long distances, key to a theory known as Modified Newtonian Dynamics.