Abstract
Consequences of Schrödinger's antipodal identification on quantum field theory in de Sitter space are investigated. The elliptic ℤ2identification provides observers with complete information. We show that a suitable confinement on dimension of the elliptic de Sitter space guarantees the existence of globally defined spinors and orientable dS/ℤ2manifold. In Beltrami coordinates, we give exact solutions of scalar and spinor fields. The CPT invariance of quantum field theory on the elliptic de Sitter space is presented explicitly.
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