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We introduce a new interpretation of chemical potential and show thatholographic entropy is entropy bound, which is supported by two ideal casesdiscussed in detail. One is sparse but incompressible liquid like a star ofuniform density and the other is a screen at infinity in spherically symmetricsapcetime. Our work is based on the new scenario of entropy force andholographic thermodynamics, and the Brown-York quasi-local energy.

Entropy Bound Derived from the New Thermodynamics on Holographic Screen