Dyons and electromagnetic energy conservation with biquaternion

In this thesis, after defining of biquaternion algebra, dyons which include electric and magnetic charges are mentioned. Because of eight-component biquaternions containing three-dimensional vector space and four-dimensional quaternion space, many physical quantities are also examined in biquaternion algebra. Based on this information, the generalized field equations are derived by using Maxwell equations and gauge transformations in non-commutative, but associative biquaternion algebra in homogenous media for dyons. Then, Noether theorem, light and Poynting theorem in vector space is introduced, in terms of the differential operator equation that contains biquaternionic electromagnetic energy conservation and Poynting vector, derived from biquaternions. In conclusion, it is seen that these equations in biquaternions are the generalized of three-dimensional vector space and appropriate the equations which are derived in literature before.