Generalized Uncertainty Principle, Classical Mechanics, and General Relativity

Understand

The Generalized Uncertainty Principle (GUP) has been directly applied to the motion of (macroscopic) test bodies on a given space-time in order to compute corrections to the classical orbits predicted in Newtonian Mechanics or General Relativity.

• These corrections generically violate the Equivalence Principle.
• The GUP has also been indirectly applied to the gravitational source by relating the GUP modified Hawking temperature to a deformation of the background metric.
• Such a deformed background metric determines new geodesic motions without violating the Equivalence Principle.