14 citations · 20 across the 3 of their papers we have counts for
5 papers
Nature of Time and particles-caustics: physical World in algebrodynamics and in twistor theory
Vladimir V. Kassandrov
In the field theories with twistor structure particles can be identified with (spacially bounded) caustics of null geodesic congruences defined by the twistor field. As a realizati…
General Solution of the Complex 4-Eikonal Equation and the "Algebrodynamical" Field Theory
Vladimir V. Kassandrov
We explicitly demonstrate the existence of twistor and ambitwistor structure for the 4-dimensional complexified eikonal equation (CEE) and present its general solution consisting o…
Singular Sources of Maxwell Fields with Self-Quantized Electric Charge
Vladimir V. Kassandrov
Single- and multi-valued solutions of homogeneous Maxwell equations in vacuum are considered, with ''sources'' formed by the (point- or string-like) singularities of the field stre…
Twistor and "weak" gauge structures in the framework of quaternionic analysis
Vladimir V. Kassandrov, Joseph A. Rizcallah
The earlier proposed conditions of (bi)quaternionic differentiability are nonlinear, give rize to the 2-spinor and the self-dual gauge structures and may be considered as the it ge…
Algebrodynamical Approach in Field Theory: Bisingular Solution and its Modifications
V. V. Kassandrov, J. A. Rizcalla
The criterion of differentiability of functions of quaternion variable is used as the basis of some algebraic field theory. Its necessary consequences are free Maxwell and Yang-Mil…