9 citations · 36 across the 11 of their papers we have counts for
11 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…
On the elliptic locus of a family of projectiles
Joseph A Rizcallah
A little known property of free-fall motion is the elliptic locus of the maximum heights attained by coplanar projectiles launched from a single point in different directions with…
Revisiting the Coulomb-Damped Harmonic Oscillator
Joseph A Rizcallah
The force of dry friction is studied extensively in introductory physics but its effect on oscillations is hardly ever mentioned. Instead, to provide a mathematically tractable int…
Projectile motion without calculus
Joseph A Rizcallah
Projectile motion is a constant theme in introductory-physics courses. It is often used to illustrate the application of differential and integral calculus. While most of the probl…
Speed of transverse waves in a string revisited
Joseph Rizcallah
In many introductory-level physics textbooks, the derivation of the formula for the speed of transverse waves in a string is either omitted altogether or presented under physically…
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…