Comment Entropy and Temperature of these black holes. (Score 2, Informative) 200
Well, from what I know about black holes, as matter passes through the event horizon, the entropy increases. This increase in the black holes entropy translates into an increase in the size of the event horizon. So, as the mass increases, so does the event horizon. At the same time, the temperature of a black hole is inversly proportional to the mass. So the temperature decreases as the mass increases.
On the flip side, if the mass is small, the event horizon is small, and the temperature is extremely high. Since we are talking about a extremely small black hole, we are talking about photons being radiated at an extremely high energy in a very short time.
Now I understand that the uncertainty principle allows extreme fluctuations in changes in energy as long as it is "paid back" within a short amount of time. But it seems that this extreme "Heat" is being radiated off by extremely energetic photons. In my layman analysis, it would seem that such extreme energies in our atmosphere would be detectable by several means.
In lieu of this, I can understand that if there are 10 spatial dimensions, energy is being radiated in all dimensions and therefore in the three spatial dimensions we experience, we would only see a fraction of the total energy radiatated.
Now for my question. It would seem likely that the radiation radiates in proportion to the spacial dimensions. If these extra spacial dimensions are soooo small, then they would have only a small fraction of the total energy radiated. Therfore, wouldn't we STILL see a phenomenal amount of energy in our atmosphere from the Black Hole Evaporation????
(Sorry for the length).