6533b86ffe1ef96bd12ccf4b

RESEARCH PRODUCT

Maxwell’s Equations and Occam’s Razor

F. CelaniA. Di TommasoG. Vassallo

subject

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciOccam’s razorCoulomb gaugeElementary particlesZitterbewegungSettore ING-IND/32 - Convertitori Macchine E Azionamenti ElettriciElectric chargeMaxwell’s equationsSpace–time algebraVector potentialElectron structureClifford algebraLorenz gauge

description

In this paper a straightforward application of Occam’s razor principle to Maxwell’s equation shows that only one entity, the electro-magnetic four-potential, is at the origin of a plurality of concepts and entities in physics. The application of the so called “Lorenz gauge” in Maxwell’s equations denies the status of real physical entity to a scalar field that has a gradient in space-time with clear physical meaning: the four-current density field. The mathematical formalism of space-time Clifford algebra is introduced and then used to encode Maxwell’s equations starting only from the electromagnetic four-potential. This approach suggests a particular Zitterbewegung (ZBW) model for charged elementary particles.

http://hdl.handle.net/10447/266069