The model required that one of the sets of oscillators have positive energy, whilst the other, negative energy. There was never a requirement that the origin/location of the energies be explained; this work seeks to address this.
The analysis proceeds from the Time-independent Schrödinger equation for a simple quantum harmonic oscillator and shows that the positive energy resides in real space, whilst the negative energy resides in imaginary space.
It is considered that the work has relevance to super-luminal travel employing deformation of space as typified by the Alcubierre drive. It is calculated that the current vacuum energies of the universe (with their appropriate algebraic sign) are of the order of 10^72 J.
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