19 citations · 151 across the 36 of their papers we have counts for
37 papers
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 () in particular. We demonstrate that any -differ…
The algebrodynamics: super-conservative collective dynamics on a "Unique Worldline'' and the Hubble's law
Vladimir V. Kassandrov, Ildus Sh. Khasanov
We study the properties of roots of a polynomial system of equations which define a set of identical point particles located on a Unique Worldline (UW), in the spirit of the old Wh…
Hourglass of constant weight as an illustrative example of a system with a variable mass
Vladimir V. Kassandrov, Zurab K. Silagadze
We provide an alternative approach to a problem posed in the article "Hourglass of Constant Weight" by Volker Becker and Thorsten Pöschel, which appeared in Granular Matter 10 (200…
Extended geometry and kinematics induced by biquaternionic and twistor structures
Vladimir V. Kassandrov, Nina V. Markova
The algebra of biquaternions possess a manifestly Lorentz invariant form and induces an extended space-time geometry. We consider the links between this complex pre-geometry and re…
New symmetries, conserved quantities and gauge nature of a free Dirac field
Vladimir V. Kassandrov, Nina V. Markova
We present and amplify some of our previous statements on non-canonical interrelations between the solutions to free Dirac equation (DE) and Klein-Gordon equation (KGE). We demonst…
On a Crucial Role of Gravity in the Formation of Elementary Particles
Ahmed Alharthy, Vladimir V. Kassandrov
We consider the model of minimally interacting electromagnetic, gravitational and massive scalar fields free of any additional nonlinearities. In the dimensionless form, the Lagran…