Could you get real space from Grassmann numbers?
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Grassmann numbers saw an early use in physics to express a path integral representation for fermionic fields, although they are now widely used as a foundation for superspace, on which supersymmetry is constructed.
You can get a vector field from a pair of spinor fields with Aμ(x)=ψ(x)γμψ¯¯¯(x)Aμ(x)=ψ(x)γμψ¯(x). Using this fact could you define a space-time vector in terms of Grasman numbers
You can get a vector field from a pair of spinor fields with Aμ(x)=ψ(x)γμψ¯¯¯(x)Aμ(x)=ψ(x)γμψ¯(x). Using this fact could you define a space-time vector in terms of Grasman numbers
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