  We propose to study the entanglement entropy in braneworld modified gravity.
We show that the d + 1-dimensional action Id+1 is the dual of d d 1-dimensional
entanglement entropy SdEE. Moreover, we remark that the generalization of
action-entropy shows us a new form of f(R) gravity which is in good agreement
with the most choices of f(R) gravity in the literature. We show also that
there are two copies of the AdS spaces in holographic entanglement f(R)
gravity. We have proposed that the time is a holographic projection of the
hidden d-brane on the visible d-brane. To determine the geometry of this
holographic projection, we have used the AdS2 geometry of black hole. Namely,
the past of events is memorized over a S1. We show that the time projection is
a stereographic projection from a time sphere Sdd 2 on the hidden d-brane to
the visible d-brane. We suggest that there is a difference between the time in
classiccal gravity and the time in quantum gravity.
