The study of light has a long and distinguished history that has occupied the best minds in each epoch. One of the major boosts occurred when Maxwell subsumed all previous wave-theory views in his unification of optics and electromagnetism, and an even more radical impulse with the advent of relativity (Einstein) and quantum theory (Planck), which uncovered the wave-particle duality of light and later of all physical particles (De Broglie). The goal of this note is to report on recent work in th...
The study of light has a long and distinguished history that has occupied the best minds in each epoch. One of the major boosts occurred when Maxwell subsumed all previous wave-theory views in his unification of optics and electromagnetism, and an even more radical impulse with the advent of relativity (Einstein) and quantum theory (Planck), which uncovered the wave-particle duality of light and later of all physical particles (De Broglie). The goal of this note is to report on recent work in the area of geometric algebra as a base for an inquiry aimed to understand in that formalism recent knotted vortex electromagnetic solutions and to seek analogous solutions for the Dirac equation following seminal work of Hestenes.