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arxiv: 1104.3416 · v1 · pith:UYNCYM66new · submitted 2011-04-18 · 🧮 math-ph · math.MP

Two dimensional representation of the Dirac equation in Non associative algebra

classification 🧮 math-ph math.MP
keywords algebraassociativedimensionaldiracequationcalculatedcomplexdimension
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In this note a simple extension of the complex algebra to higher dimension is proposed. Using the postulated algebra a two dimensional Dirac equation is formulated and its solution is calculated. It is found that there is a sub-algebra where the associative nature can be recovered.

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