As discussed above, one can accept a violation of the holographic entropy bound (the existence of hyperentropic physical
systems) and at the same time avoid a disturbing violation of the GSL in the gedanken experiment of provided the lifetime
of the black hole which is formed from the collapse of the hyperentropic system is shorter than its relaxation time
In this case, a quasi-static black hole will never actually form in the gedanken experiment
Instead, there would be an intermediate non-equilibrium configuration which will merely act as a catalyst for converting the initial high entropy confined state into a final higher entropy state of unconfined Hawking radiation
Taking cognizance of Eq.
one realizes that the area of the black hole which would form from the collapse of the hyperentropic system is smaller then the minimal area which is required for a metastable black-hole configuration.
The is larger than the RHS
Thus, we conclude that the GSL is respected despite the fact that the holographic bound can be violated