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Applied Physics and Mathematics

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New insights in the sta nda rd model of quantum physics in Cliord Algebra (pa rt 1)
C. Daviau J. Bertrand

Abstract : This is the rst of three parts. It presents the needed
Cliord algebras. We explain how the form invariance of the Dirac
equation implies the use of the space algebra. We present a
nonlinear wave equation which has the Dirac equation as linear
approximation. We extend the invariance group, both to the
quantum wave and to the electromagnetism with photons and
magnetic monopoles.
Keywords : invariance group, Dirac equation, electromagnetism,
Cliord algebras, magnetic monopoles.

Contacts: Еmail: bertrandjacques-m@orange.fr

Pp. 35-65.

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