Titlebook: Clifford Algebras and their Applications in Mathematical Physics; Volume 1: Algebra an Rafa? Ab?amowicz,Bertfried Fauser Book 2000 Springer

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978-1-4612-7116-1Springer Science+Business Media New York 2000

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Rochelle Gladys Kemitare,Joshua Mugambwaich the ‘Pauli terms’ are formed. We find that these violate a basic axiom of any *-algebra when Dirac’s ψ is canonical. Then the Dirac operator is spanned only by the 10 elements 1, iγ5, γ., γ.γ5 (which don’t form a basis of .. because the σ. are excluded).

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Lucas Gumbi,Hossana Twinomurinzin developing and employing in our research on a Clifford algebra approach to hyperbolic geometry and automated geometry theorem proving. Our work shows that, following this approach, not only can we reformulate existing results with improvements and generalizations, but we also can make new discoveries

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Lecture Notes in Computer Science geometry of spacetime itself may be dictated by the renormalization processes in quantum field theories. Two recently discovered and intimately related Hopf algebras — the Hopf algebra for the computation of the local index formula of transversally hypoelliptic operators and the algebra of renormalization — lie behind these ideas.

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Quaternionic Spinsless particles on an equal footing. The resulting description has the correct number of spin/helicity states to be a generation of leptons. Furthermore, precisely three such generations naturally combine into an octonionic description of the 10-dimensional massless Dirac equation, as previously discussed in [1].

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