19 citations · 151 across the 36 of their papers we have counts for
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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…
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…
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…
Relativistic generalization of the Schrodinger-Newton model for the wavefunction reduction
Vladimir V. Kassandrov, Nina V. Markova
We consider the model of the self-gravity driven spontaneous wavefunction reduction proposed by L. Diosi, R. Penrose et al. and based on a self-consistent system of the Schrodinger…
Twistor structures and boost-invariant solutions to field equations
Vladimir V. Kassandrov, Joseph A. Rizcallah, Nina V. Markova
We give a brief overview of a non-Lagrangian approach to field theory based on a generalization of the Kerr-Penrose theorem and algebraic twistor equations. Explicit algorithms for…
Self-Dual Connections and the Equations of Fundamental Fields in a Weyl-Cartan Space
Vladimir V. Kassandrov, Joseph A. Rizcallah
Spaces with a Weyl-type connection and torsion of a special type induced by the structure of the differentiability conditions in the algebra of complex quaternions are considered.…