Primordial Black Hole Scattering at the Early Universe

Andrew D. P. Costello, Pierre Charles Seiberg
Comments: 15 pages, 2 figures. v2: minor corrections

We use a new approach to study the black hole and therefore the cosmological constant problem at large scales of the universe. We derive a new finite-temperature scaling technique to measure scattering amplitudes of primordial black holes and find that their scattering amplitude is in a class of (1+1) scales, whose amplitudes are defined by the amplitude of the primordial black hole. The results significantly extend the results of previous studies of scattering amplitudes of primordial black holes and show that the scattering amplitude does not significantly increase with the expansion of the universe. It is also shown that the scattering amplitude of primordial black holes is related to the length of time the particles are in the black hole. This point is made by using the example of a black hole as a "switch" in the universe. If a switch is inserted in the universe on the finite-temperature scale, then the black hole is at the same temperature as the universe at large scales. This extended model is probabilistically expected to have a primordial black hole on the early-time scales.