We study the dynamics of a spherically symmetric false vacuum bubble embedded in a true vacuum region separated by a thick wall, which is generated by a scalar field in a quartic potential. We study the Farhi-Guth-Guven (FGG) quantum tunneling proces
s by constructing numerical solutions relevant to this process. The ADM mass of the spacetime is calculated, and we show that there is a lower bound that is a significant fraction of the scalar field mass. We argue that the zero mass solutions used to by some to argue against the physicality of the FGG process are artifacts of the thin wall approximation used in earlier work. We argue that the zero mass solutions should not be used to question the viability of the FGG process.
