On the Hermitian projective line as a home for the geometry of Quantum Theory
نویسنده
چکیده
In the paper “Is there a Jordan geometry underlying quantum physics?” [Be08], generalized projective geometries have been proposed as a framework for a geometric formulation of Quantum Theory. In the present note, we refine this proposition by discussing further structural features of Quantum Theory: the link with associative involutive algebras A and with Jordan-Lie and Lie-Jordan algebas. The associated geometries are (Hermitian) projective lines over A; their axiomatic definition and theory will be given in subsequent work with M. Kinyon [BeKi08]. AMS subject classification: primary: 17C37, 17C90, 81R99, secondary: 53Z05, 81P05
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