Planck Scale Effect in the Entropic Force Law

Understand

In this note we generalize the quantum uncertainty relation proposed by Vancea and Santos [7] in the entropic force law, by introducing Planck scale modifications.

• The latter is induced by the Generalized Uncertainty Principle.
• We show that the proposed uncertainty relation of [7], involving the entropic force and the square of particle position, gets modified from the consideration of a minimum measurable length, (which can be the Planck length).