Using Black Holes to cool supercomputers

Recent studies showed that the amount of information created on Earth, including the one stored in the DNA of all species, or the pictures with funny cats shared on social media, is growing exponentially with an exponential growth rate: growthRateOnEarth = exp(exp(x)).

This should not surprise us, as it would be just a simple extension of the Moore law, applied to a planetary level. Moreover, it will not be hard to expect that a civilization much older than ours, which managed to make the jump to a multi-galaxy statute, would already had made it to an even faster growth rate: growthRateAdvancedCivilization = exp(exp(exp(x))).

The question that rises is what kind of computing power could manage such levels of information.

Let us assume that a civilization developed the most advanced computers. Therefore, I would assume that such computers might use only one electron to store one bit of information. Processing information means changing bits from one state to another.

It is not hard to imagine that such computer can be cooled down to a temperature close to the cosmic background temperature, which is 3 Kelvin. Yet, erasing one single bit, still costs a minimum level of energy of: k T ln(2) = 2.87 exp(-23) J , incomparable to the level of the information created.

Black holes emit Hawking radiation at a temperature of 10 nano Kelvin. Erasing one bit at the temperature of a black hole would cost only 10^-31 J

If it is true that a black hole is the most efficient way to cool material close to 0 K, we should expect that all black holes are just radiators of super computers used by advanced civilizations.