Stars and the holographic upper bound on gravitational action

Abstract

The holographic upper bound on entropy is applied to the gravitational action associated with the non-relativistic contraction of a nebula. A critical radius is identified, as a function of the initial radius and mass, for which the number of bits associated with the action would equal the maximum number of bits allowed to the body. The gravitational action of a typical star approximately saturates the holographic bound, perhaps suggesting a physical link between holographic principles and astrophysical processes.