Authors: Hans Detlef Hüttenbach
This article is about the concept of mass and electric charge: When the fundamental relativistic equation E^2=m^2 c^4+〖|p|〗^2 c^2 is solved in the complex, this inevitably leads to an irreducible representation of the extended Lorentz group as U(4) operating on the complex Clifford algebra Cl(1,3) in which mass is a complex 4x4-spinor. Spinors are a direct consequence of taking the root of the Minkowski square distance. Doing so with the Minkowski square of differentials then gives a spinor-valued differential form. With that, classical electrodynamics is shown to be extendable into a relativistically invariant theory, in fact the simplest possible relativistically invariant one. Its symmetries reveal a unified concept of classical charge and mass. A dynamical system based on this, splits into the direct sum of a dynamical system of pure electromagnetic charges and one of purely neutral particles. In it, charged particles must be fermionic in order to conserve their net charge, and neutral non-magnetic ones are bosonic in order to be able to assign to them a positive mass. Also, it will be seen that within the Clifford algebra, the Hamiltonian of a self-interacting mechanical dynamical system of particles can be given in a closed form. I end the paper with a section on superconductivity, where it is shown that superconducting material should electromagnetically behave as opaque, dark matter.
Comments: 21 pages
[v1] 2012-09-10 11:52:58
Unique-IP document downloads: 78 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.