Spin, Statistics, and Reflections, II. Lorentz Invariance

الأصل · EN

The analysis of the relation between modular P₁CT-symmetry -- a consequence of the Unruh effect -- and Pauli's spin-statistics relation is continued. The result in the predecessor to this article is extended to the Lorentz symmetric situation. A model ₗ of the universal covering L+ SL(2,) of the restricted Lorentz group L+ is modelled as a reflection group at the classical level. Based on this picture, a representation of ₗ is constructed from pairs of modular P₁CT-conjugations, and this representation can easily be verified to satisfy the spin-statistics relation.