SPINORS, VECTORS AND SCALARS IN GRASSMANN SPACE AND CANONICAL QUANTIZATION FOR FERMIONS AND BOSONS

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Abstract
A point particle which lives in a d-dimensional ordinary and a d-dimensional Grassmann space (d ≥ 5) manifests itself in an ordinary four-dimensional subspace as a spinor, a scalar or a vector. The canonical quantization of fields leads to either fermions or bosons. Fermions as well as bosons have either positive or negative internal parity according to discrete symmetries in the Grassmann space.

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