ELECTROMAGNETIC ENERGY CONSERVATION BY BIQUATERNIONS
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Keywords:Quaternions, Biquaternions, Maxwell Equations, Poynting Theorem
In this document, after defining biquaternions algebra, Poynting Theorem is derived in this algebra. Because of 8-component biquaternions containing 3-dimensional vector space and 4-dimensional quaternion space, we can examine many physical quantities in biquaternion algebra. Based on this information, the generalized field Maxwell Equations and Gauge Transformations is showed in non-comutative but associative biquaternion algebra in homogenous media. Then, Noether and Poynting Theorems are introduced in terms of biquaternionic differential operator equation and used for deriving equations in electromagnetic energy conservation. In conclusion, it is seen that these biquaternionic equations can be derived from generalized 3- dimensional vector space in literature before.
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