The Bekenstein-Hawking entropy of a black hole contains the Planck surface.
Mead's discussion of the gravitational microscope yields the Planck length as the length measurement limit.
Is there any system where the Planck volume plays a role? (The Planck volume is, arguably, the size of the universe after one Planck time; it is also said to be the smallest possible black hole. But these are quite speculative situations.)
Do more concrete examples of physical systems exist, in which the Planck volume arises or plays a role?
Is there any equation for a physical law that contains, after simplification, the Planck volume, i.e., the cube of the Planck length?
Exactly why is there no equation with the Planck volume?
Is the reason that the ratio between macroscopic volume and Planck volume cannot arise in an equation at all?
Or is the reason that the ratio between macroscopic volume and Planck volume must disappear (in the limit) for quantum theory and general relativity to make any sense?
Or is the reason that holography is valid in nature?
Or is the reason that volume is not built from many smallest volumes, in contrast to area and length?
In short: is it because volume is not quantized?