The Nilpotent Vacuum
2004jbt | Rowlands Peter

A fermionic state vector which is a nilpotent or square root of zero appears to be the most convenient packaging of the fundamental physical parameters space, time, mass and charge into a single unit. It also has the advantage of being a supersymmetric quantum field operator, which uniquely and simultaneously specifies both amplitude and phase for any fermionic state, and incorporates all the specific aspects required in BRST field quantization into a single package. The mathematical structure of the state vector immediately generates vacuum terms relevant to all four fundamental interactions, and explains the symmetry-breaking between them. By incorporating the vacuum aspects into our understanding of the fermion, we generate a ‘string theory without strings’. The nilpotent vacuum operators suggest links with many well-known vacuum phenomena, including the Casimir effect and zero-point energy.

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