Holographic Principle: Entropy & Area for Observers Moving w/BH

touqra
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If the entropy, S of a black hole is proportional to the area of the horizon, A, then, what about an observer moving with a constant velocity, v with the BH? Another observer moving with a constant acceleration with respect to the BH?
After all, entropy is an invariant but area is not. So, isn't this a problem?
 
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