Quantum Break in High Intensity Gravitational Wave Interactions

The lowest order amplitudes for [$\text{graviton+graviton → photon +photon}]$ lead to cross sections of order $G^2$, where $G$ is the gravitational constant. These are too small to be of any interest. However, in dense clouds of pure gravitons there are collective effects utilizing these same amplitudes that under the right circumstances can lead to copious production of photons.

Figure 1

Dashed curves: retention probability $\zeta (s)$ in the wave function solution. Solid curves: the same in the corresponding MMF solutions, with their $N$ values identifiable by their coalescence with the corresponding dashed curves for small scaled time $s$. The value $\zeta =1$ indicates 100% gravitons.

Figure 2

The same as Fig. 1, except only the MMF solutions, for a series of higher values of $N$.

Figure 3

The same as Fig. 2, but based on (15) with $N_b=3$, 9, 27, $N={10}^7$.