NDLI: Peirce, Clifford, and Quantum Theory

Content Provider	Springer Nature Link
Author	Beil, R. G. Ketner, K. L.
Copyright Year	2003
Abstract	Beginning in 1870 Charles Sanders Peirce published a series of papers on a “logic of relations,” which corresponded to a linear associative algebra. This algebra is related by a linear transformation to quaternions and thus to the C(3, 0) algebra of William Kingdon Clifford. This Clifford algebra contains the Pauli matrices and so constitutes an operator basis for the nonrelativistic quantum theory of spin one-half particles. A further unification is achieved by taking the wave functions themselves to be 2 × 2 matrices which are Peirce logical operators and also elements of the Clifford algebra. Thus we have discovered a direct path from the Peirce logic to quantum theory. A diagrammatic method follows from the Peirce/Clifford algebraic approach and is suitable for describing particle interactions.
Starting Page	1957
Ending Page	1972
Page Count	16
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	42
Issue Number	9
e-ISSN	15729575
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2003-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physics Quantum Physics Mathematical and Computational Physics Elementary Particles, Quantum Field Theory
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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Peirce, Clifford, and Quantum Theory