On Planck Areal Speed

Abstract

We explore the concept of areal speed concerning minimal length scales associated with Planck units. In gravitational systems, the orbital radius measured in Planck units becomes independent of the Newton’s constant; it is just a multiple of the Compton wavelength of M . Reversing the argument leads to an emergent understanding of Newtonian gravity. We also note that the general relativity correction is compensated by a Generalized Uncertainty Principle and we highlight the critical role of spatial dimensionality.

Keywords: quantum gravity, quantum theory, weak gravity conjecture