No abstract

A new electromagnetism is still expected to be developed. Thus, under such a principlewhere nature works as a group, an electromagnetism beyond Maxwell is studied. It considersthat light metric antecedes electric charge for founding the EM phenomena. Based on wholenessprinciple, Lorentz group and gauge invariance this electromagnetism sticked on light is proposed.Then, by electromagnetism it will be understood the physics derived from Lorentz group potentialfields family (for simplicity other fields are not included). New electromagnetic fields,sectors, layers and regimes are developed. It yields a branch with transversal and longitudinalEM fields, granular and collective sectors, I-fields layers and four regimes (photonic, massive,neutral, charged) connected through a global photon. Their relationships are determined by astate equation identified as Global Maxwell equation. It contains new Gauss and Ampere laws,exclusive Faraday law for polarization and magnetization vectors, divergenceless magnetizationvector having fields as sources, self-interacting photons mediated by a dimensionless couplingconstant and other features. It is complemented by a Global Lorentz equation which besidesthe usual Lorentz force add forces depending on mass and on potential fields.

No abstract

No abstract

We adopt the analytic approach to connections on a general vector bundle to discuss the independence of vector gauge potentials introduced simultaneously in association with a single simple group.The natural geometrical structures underlying the mathematical formulation of Yang-Mills theories are the so-called fibre bundles or, more specifically, principal firbre bundles, whose base manifold is the -D-dimensional spacetime on which the theories are built up and whose fibres are given by the gauge group itself. The fibre bundles describe how the internal space