Abstract

I introduce the spacetime foam structure by briefly reviewing the ideas of Wheeler, topological fluctuations and the possibility of virtual black holes. The contribution of Jacobson (the equation of state of the foam) is recalled. In the second part, I introduce a model of spacetime foam at the surface of the event horizon of a black hole. I apply these ideas to the calculus of the number of states of a black hole, of its entropy and of other thermodynamical properties. A formula for the number of micro-holes on the surface of the event horizon is derived. Subsequently, I extend the thermodynamical properties of the event horizon to thermodynamical properties of the space. Here I face the problem of the maximum entropy contained in a space region of a given volume. Finally, on the basis of the results obtained previously, I briefly treat the possibility of micro-black-hole creation by the Unruh effect.

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