Algebrodynamics: Shear-Free Null Congruences and New Types of Electromagnetic Fields

Vladimir V. Kassandrov, Joseph A. Rizcallah, Ivan A. Matveev

We briefly present our version of noncommutative analysis over matrix algebras, the algebra of biquaternions ($\mathbb{B}$) in particular. We demonstrate that any $\mathbb{B}$-differ…