Notes on Entropic Interpretation of Gravity

Abstract: Some essential conceptual aspects that will fill some logical gaps of the frame to interpret the gravity as an entropic force was investigated, we focus on some crucial issues that didn't emphasized in Verlinde's original paper[arXiv:1001.0785]. This note explains the context that holographic screen can be endowed with an entropy that proportional to it's area and the meaning in using equipartition law in spacetime thermodynamics, thermodynamic quantities such as entropy and temperature are observer dependent is the crucial concept in explaining those problems. Coarse graining will leave information in the gravitational potential, which will connect different observer's point of views for the same object. This will help us to understand the coarse graining dependent definition of entropy and the nature of spacetime. It also indicates the way that entropy bounds work, which is consistant with Bekenstein entropy bound and holographic entropy bound.