Newton's constant from a minimal length: Additional models

Understand

We follow arguments of Verlinde and Klinkhamer, and construct two models of the microscopic theory of a holographic screen that allow for the thermodynamical derivation of Newton's law, with Newton's constant expressed in terms of a minimal length scale contained in the area spectrum of the microscopic theory.

• One of the models is loosely related to the quantum structure of surfaces and isolated horizons in loop quantum gravity.
• Our investigation shows that the conclusions reached by Klinkhamer regarding the new length scale seem to be generic in all their qualitative aspects.