arXiv:math-ph/0102001v1 1 Feb 2001 Generalized Maxwell and Weyl Equations for Massless Particles ∗ Valeri V. Dvoeglazov Escuela de F´ ısica, Universidad Aut´ onoma de Zacatecas Apartado Postal C-580, Zacatecas 98068 Zac., M´ exico E-mail: valeri@ahobon.reduaz.mx URL: http://ahobon.reduaz.mx/˜ valeri/valeri.htm (December 2000) I discuss generalized Maxwell and Weyl equations. They may lead to dynamics which are different from those accepted at the present time. For instance, the photon may have non-transverse components and the neutrino may be not in the chiral states. The content of this talk is the following: • the van der Waerden-Sakurai derivation of the Dirac equation; • the Gersten derivation of Maxwell equations and equations for arbitrary spin; • the correction of the Gersten derivation (if one considers all solutions of the d’Alembert equation, scalar fields appear); • massless particles with massive parameters; • physical origins and physical conclusions. The contribution is based on recent papers [1–4]. Gersten [1a] writes: “We have shown how all Maxwell equations can be derived simultaneously from first principles, similar to those which have been used to derive the Dirac relativistic electron equation” and concludes: “. . . Maxwell equations should be used as a guideline for proper interpretation of quantum theories”. In fact, he used a method presented by van der Waerden and Sakurai [5]. Let us start with the Klein-Gordon equation: (E 2 − c 2 p 2 − m 2 c 4 )Ψ (2) =0 , (1) hence (for Ψ with two components and c =¯ h = 1) (EI (2) − σ · p)(EI (2) + σ · p)Ψ (2) = m 2 Ψ (2) . (2) ∗ Presented at the Fourth Mexican School on Gravitation and Mathematical Physics, December 3-8, 2000, Huatulco, Oaxaca, Mexico. 1