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What is spin
This is a late answer to question #79 by R.I. Khrapko, "Does plane wave not carry a spin?," Am. J. Phys. /69/, 405 (2001), and a complement (on gauge invariance, massive spin 1 and 1/2, and massless
Quaternions in mathematical physics (2): Analytical bibliography
This is part two of a series of four methodological papers on (bi)quaternions and their use in theoretical and mathematical physics: 1-Alphabetical bibliography , 2-Analytical bibliography,
The strange formula of Dr. Koide
We present a short historical and bibliographical review of the lepton mass formula of Yoshio Koide, as well as some speculations on its extensions to quark and neutrino masses, and its possible
On the “Equivalence” of the Maxwell and Dirac Equations
AbstractIt is shown that Maxwell's equation cannot be put into a spinor form that is equivalent to Dirac's equation. First of all, the spinor ψ in the representation $$\vec F = \psi \vec u\psi $$
Physics of high-intensity high-energy particle beam propagation in open air and outer-space plasmas
This report is a self-contained and comprehensive review of the physics of propagating pulses of high-intensity high-energy particle beams in pre-existing or self-generated plasmas. Consideration is
years after the discovery of quaternions, Hamilton's conjecture that quaternions are a fundamental language for physics is reevaluated and shown to be essentially correct, provided one admits complex
Lanczos's functional theory of electrodynamics: A commentary on Lanczos's PhD dissertation
Lanczos's idea of classical electrodynamics as a biquaternionic field theory in which point singularities are interpreted as electrons is reevaluated. Using covariant quaternionic integration
Explicit closed-form parametrization of SU(3) and SU(4) in terms of complex quaternions and elementary functions
Remarkably simple closed-form expressions for the elements of the groups SU(n), SL(n,R), and SL(n,C) with n=2, 3, and 4 are obtained using linear functions of biquaternions instead of n x n matrices.
Distributions in spherical coordinates with applications to classical electrodynamics
A general and rigorous method to deal with singularities at the origin of a polar coordinate system is presented. Its power derives from a clear distinction between the radial distance and the radial