  Seeking for the proper situation of Emergent Gravity, we recent reveal that
the entropic mechanism only happens when extremal surfaces are varied, which is
similar to the non-gravitational-bath-coupled setup of the island development.
In this paper, we consider perturbing thin shell state outside horizon during
equilibrating, to find the evolution of these Euclidean states requires an
external force to be $ F_{ex}\propto T_{H}\delta A(\mu_a)$, proportional to
area variation of the apparent horizon which could transform into the actual
event horizon as extremal surface. We analogize the falling tendency to the 2nd
law tendency, and then explore the potential tendency violation of Hawking
radiation.
  This analogy recalls the role of Maxwell's Demon to interpret the mechanism
of the bath for the Page curve to emerge in a close universe. It could
reconcile the Split Problem concerning quantum gravity raised by Raju.

High Energy Physics - Theory;General Relativity and Quantum Cosmology;Quantum Physics