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The Quantum/Classical Interface: Insights from Clifford’s (Geometric) Algebra

W. E. Baylis

Published Jan 1, 2004• 5 citations

Abstract

Classical relativistic physics in Clifford algebra has a spinorial formulation that is closely related to standard quantum formalism. The algebraic use of spinors and projectors, together with the bilinear relations of spinors to observed currents, gives quantum-mechanical form to many classical results, and the clear geometric content of the algebra makes it an illuminating probe of the quantum/classical interface. This paper extends past efforts to close the conceptual gap between quantum and classical phenomena while highlighting their essential differences. The paravector representation of spacetime in Cl 3 is used in particular to provide insight into spin-1/2 systems and their measurement.

DOI: 10.1007/978-1-4612-2044-2_24

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