According to the standard model, matter and energy may neither be created nor destroyed, but may only change forms. Therefor, you may not get something from nothing within the universe, and though I am not up on vector analysis, it is mistaken in its interpretation of this particular case. I am able to tell because it is illogical. Matter and Energy being conserved, means they change forms - not coming from nothing or returning to nothing. I would try applying physical chemistry to the problem instead of vector analysis.
G-Unit Theory defines the universe as continuous on its interval. Therefor, there is no nothing within the universe. Every bit of the universe is composed of G-Units, spinning permeable spherical gravitational units with a diameter of a Planck length and a mass of a Planck mass. The resolution of the universe being on the level of a Planck length, what we observe popping mysteriously out of "nothing" is symmetrical gravitational octahedral formation. Small particles are crystallizing out of the highly geometrical spacefoam. Present science can only see, say with an electron microscope or such, *10-15 meters , possibly *10-20 meters , on a good day. The resolution of the universe is on the level of a Planck length, *10-35 meters. Everything above *10-20 meters is considered nothing according to the standard model. G-Unit Theory goes all the way down to the Planck length and can explain these phenomena that the standard model only guesses at.
TG.Zephrym Cochran, for all you star trek fans.